Quantum gravity poses the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of (...) the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time. (shrink)

The search for a quantum theory of the gravitational field is one of the great open problems in theoretical physics. This book presents a self-contained discussion of the concepts, methods and applications that can be expected in such a theory. The two main approaches to its construction - the direct quantisation of Einstein's general theory of relativity and string theory - are covered. Whereas the first attempts to construct a viable theory for the gravitational field alone, string theory assumes that (...) a quantum theory of gravity will be achieved only through a unification of all the interactions. However, both employ the general method of quantisation of constrained systems, which is described together with illustrative examples relevant for quantum gravity. There is a detailed presentation of the main approaches employed in quantum general relativity: path-integral quantisation, the background-field method and canonical quantum gravity in the metric, connection and loop formulations. The discussion of string theory centres around its quantum-gravitational aspects and the comparison with quantum general relativity. Physical applications discussed at length include the quantisation of black holes, quantum cosmology, the indications of a discrete structure of spacetime, and the origin of irreversibility. This book will be of interest to researchers and students working in relativity and gravitation, cosmology, quantum field theory and related topics. It will also be of interest to mathematicians and philosophers of science. (shrink)

Why is gravity so weak? Why are the color forces between quarks so strong? In the standard model of particle physics, why are there so many different energies at which distinct fundamental forces are supposed to "unify", and what determines these widely separated energies? The answers to these questions may be provided by extra dimensions curled into loops a millimeter around. In other words, our universe may be only a millimeter across, in directions we are not yet able to (...) perceive. In this column we'll consider millimeter-size extra-dimensional loops and their implications. (shrink)

In this paper I develop a framework for relating dualities and emergence: two notions that are close to each other but also exclude one another. I adopt the conception of duality as 'isomorphism', from the physics literature, cashing it out in terms of three conditions. These three conditions prompt two conceptually different ways in which a duality can be modified to make room for emergence; and I argue that this exhausts the possibilities for combining dualities and emergence. I apply this (...) framework to gauge/gravity dualities, considering in detail three examples: AdS/CFT, Verlinde's scheme, and black holes. My main point about gauge/gravity dualities is that the theories involved, qua theories of gravity, must be background-independent. I distinguish two senses of background-independence: minimalistic and extended. I argue that the former is sufficiently strong to allow for a consistent theory of quantum gravity; and that AdS/CFT is background-independent on this account; while Verlinde's scheme best fits the extended sense of background-independence. I argue that this extended sense should be applied with some caution: on pain of throwing the baby out with the bath-water. Nevertheless, it is an interesting and potentially fruitful heuristic principle for quantum gravity theory construction. It suggests some directions for possible generalisations of gauge/gravity dualities. The interpretation of dualities is discussed; and the so-called 'internal' vs. 'external' viewpoints are articulated in terms of: epistemic and metaphysical commitments; parts vs. wholes. I then analyse the emergence of gravity in gauge/gravity dualities in terms of the two available conceptualisations of emergence; and I show how emergence in AdS/CFT and in Verlinde's scenario differ from each other. Finally, I give a novel derivation of the Bekenstein-Hawking black hole entropy formula based on Verlinde's scheme; the derivation sheds light on several aspects of Verlinde's scheme and how it compares to Bekenstein's original calculation. (shrink)

It is well-known that Newton’s theory of gravity, commonly held to describe a gravitational force, can be recast in a geometrical form: Newton- Cartan theory. It is less well-known that general relativity, an apparently geometrical theory, can be reformulated in such a way that it resembles a force theory; teleparallel gravity does just this. This raises questions. One of these concerns theoretical underdetermination. I argue that these theories do not, in fact, represent cases of worrying underdetermination. On close (...) examination, the alternative formulations are best interpreted as postulating the same spacetime ontology. In accepting this, we see that the ontological commitments of these theories cannot be directly deduced from their mathematical form. The geometrical nature of a gravitational theory is not a straightforward consequence of anything internal to that theory as a theory of gravity. Rather, it essentially relies on the rest of nature (the nongravitational interactions) conspiring to choose the appropriate set of inertial frames. (shrink)

Research on urban agglomerations from the perspective of network spatial structure is important to promote their sustainable development. Based on online and traditional data, this paper first improves three aspects of the traditional spatial gravity model—city quality, the gravitation coefficient, and city distance—considering urban center functional intensity and population mobility tendencies. The resulting improved directional gravity model is applied to analyze the structure of the city network for two urban agglomerations in China, the Beijing-Tianjin-Hebei urban agglomeration and the (...) Yangtze River Delta urban agglomeration. The results of the study are as follows: the existing urban connections have obvious hierarchies and imbalances, with the YRDUA urban hierarchical connections being of larger scale. Cities are closely connected, but city networks are unbalanced, though the YRDUA has more balanced urban development. Each node city has a clear radiation range limit, and spatial distance remains an important constraint on urban connections. The backbone network of the BTHUA has a triangular shape and trends toward a “sparse north and dense south,” while the YRDUA is characterized by multiple axes and an overall distribution that trends toward a “dense north and sparse south.” Cities with poor comprehensive strength are more likely to be captured, forming an attract and be attracted relationship. The BTHUA and the YRDUA each form three communities. (shrink)

A preference method probed infants` perception of object motion on an inclined plane. Infants viewed videotaped events in which a ball rolled downward (or upward) while speeding up (or slowing down). Then infants were tested with events in which the ball moved in the opposite direction with appropriate or inappropriate acceleration. Infants aged 7 months, but not 5 months, looked longer at the test event with inappropriate acceleration, suggesting emerging sensitivity to gravity. A further study tested whether infants (...) appreciate that a stationary object released on an incline moves downward rather than upward; findings again were positive at 7 months and negative at 5 months. A final study provided evidence, nevertheless, that 5-monthold infants discriminate downward from upward motion and relate downward motion in videotaped events to downward motion in live events. Sensitivity to certain effects of gravity appears to develop in infancy. (shrink)

A possible way out of the conundrum of quantum gravity is the proposal that general relativity (GR) emerges from an underlying microscopic description. Despite recent interest in the emergent gravity program within the physics as well as the philosophy community, an assessment of the general motivation for this idea is lacking at the moment. We intend to fill this gap in the literature by discussing the main arguments in favour of the hypothesis that the metric field and its (...) dynamics are emergent. First, we distinguish between microstructure inspired from GR, such as through quantization or discretization, and microstructure that is not directly motivated from GR, such as strings, quantum bits or condensed matter fields. The emergent gravity approach can then be defined as the view that the metric field and its dynamics are derivable from the latter type of microstructure. Subsequently, we assess in how far the following properties of (semi-classical) GR are suggestive of underlying microstructure: (1) the metric's universal coupling to matter fields, (2) perturbative non-renormalizability, (3) black hole thermodynamics, and (4) the holographic principle. In the conclusion we formalize the general structure of the plausibility arguments put forward. (shrink)

The paper discusses the philosophical conclusions, which the interrelation between quantum mechanics and general relativity implies by quantum measure. Quantum measure is three-dimensional, both universal as the Borel measure and complete as the Lebesgue one. Its unit is a quantum bit (qubit) and can be considered as a generalization of the unit of classical information, a bit. It allows quantum mechanics to be interpreted in terms of quantum information, and all physical processes to be seen as informational in a generalized (...) sense. This implies a fundamental connection between the physical and material, on the one hand, and the mathematical and ideal, on the other hand. Quantum measure unifies them by a common and joint informational unit. Furthermore the approach clears up philosophically how quantum mechanics and general relativity can be understood correspondingly as the holistic and temporal aspect of one and the same, the state of a quantum system, e.g. that of the universe as a whole. The key link between them is the notion of the Bekenstein bound as well as that of quantum temperature. General relativity can be interpreted as a special particular case of quantum gravity. All principles underlain by Einstein (1918) reduce the latter to the former. Consequently their generalization and therefore violation addresses directly a theory of quantum gravity. Quantum measure reinterprets newly the “Bing Bang” theories about the beginning of the universe. It measures jointly any quantum leap and smooth motion complementary to each other and thus, the jump-like initiation of anything and the corresponding continuous process of its appearance. Quantum measure unifies the “Big Bang” and the whole visible expansion of the universe as two complementary “halves” of one and the same, the set of all states of the universe as a whole. It is a scientific viewpoint to the “creation from nothing”. (shrink)

A closer examination of scientific practice has cast doubt recently on the thesis that observation necessarily fails to determine theory. In some cases scientists derive fundamental hypotheses from phenomena and general background knowledge by means of demonstrative induction. This note argues that it is wrong to interpret such an argument as providing inductive support for the conclusion, e.g. by eliminating rival hypotheses. The examination of the deduction of the inverse square law of gravitation due to J. Bertrand, and R. Fowler's (...) deduction of the quantization of the linear harmonic oscillator's energy spectrum from Planck's radiation law illustrates this point. It is suggested that demonstrative induction is a computational step in fitting a theoretical model and a set of phenomena, with little direct confirmational impact. The thesis of underdetermination, whatever one may think of it, is not threatened by demonstrative induction. (shrink)

The local Lorentz and diffeomorphism symmetries of Einstein's gravitational theory are spontaneously broken by a Higgs mechanism by invoking a phase transition in the early universe, at a critical temperature Tc below which the symmetry is restored. The spontaneous breakdown of the vacuum state generates an external time, and the wave function of the universe satisfies a time-dependent Schrödinger equation, which reduces to the Wheeler-deWitt equation in the classical regime for T (...) The conservation of energy is spontaneously violated for T>Tc, and matter is created fractions of seconds after the big bang, generating the matter in the Universe. The time direction of the vacuum expectation value of the scalar Higgs field generates a time asymmetry, which defines the cosmological arrow of time and the direction of increasing entropy as the Lorentz symmetry is restored at low temperatures. (shrink)

The main features of how to build a Born’s Reciprocal Gravitational theory in curved phase-spaces are developed. By recurring to the nonlinear connection formalism of Finsler geometry a generalized gravitational action in the 8D cotangent space (curved phase space) can be constructed involving sums of 5 distinct types of torsion squared terms and 2 distinct curvature scalars ${\mathcal{R}}, {\mathcal{S}}$ which are associated with the curvature in the horizontal and vertical spaces, respectively. A Kaluza-Klein-like approach to the construction of the curvature (...) of the 8D cotangent space and based on the (torsionless) Levi-Civita connection is provided that yields the observed value of the cosmological constant and the Brans-Dicke-Jordan Gravity action in 4D as two special cases. It is found that the geometry of the momentum space can be linked to the observed value of the cosmological constant when the curvature in $\mathit{momentum}$ space is very large, namely the small size of P is of the order of $( 1/R_{\mathit{Hubble}})$ . Finally we develop a Born’s reciprocal complex gravitational theory as a local gauge theory in 8D of the $\mathit{deformed}$ Quaplectic group that is given by the semi-direct product of U(1,3) with the $\mathit{deformed}$ (noncommutative) Weyl-Heisenberg group involving four $\mathit{noncommutative}$ coordinates and momenta. The metric is complex with symmetric real components and antisymmetric imaginary ones. An action in 8D involving 2 curvature scalars and torsion squared terms is presented. (shrink)

This paper explores space-time with the Minkowski equation, trying to integrate using the three manuscripts presented to the Open Journal of Philosophy (OJPP) a “new theory of gravity” by introducing the concept of space-time flow. Gravity is a push rather than a pull, an idea presented in the first manuscript. Gravity is the inertia, the shape (frame) of space-time produced by dark energy. The space-time surrounding you provides the force that pushes you upwards, but it doesn’t increase (...) the diameter of the Earth. The sensation of gravity is actually caused by the accelerated flow of space-time against you, which acts as a mirror. The Earth’s expansion is apparent; creates the illusion, but Earth does not expand; rather, the space-time flow emanating from the Earth generates gravity. Einstein’s theory of relativity explains that gravity results from the curvature of space-time caused by the presence of mass and the background dark energy. “Dark energy, introduced from all directions,” which exists throughout the universe in space-time, is responsible for the universe’s accelerated expansion. One way to expand space-time is through the concept of cosmic inflation, which suggests that the universe lives a continuous widening of space-time. Free fall and relativity theory support this claim. Dark energy pushes (pressure) space-time inside the atoms, and the space-time, as in a nozzle, produces an accelerated flow which is gravity. Dark energy floods the whole space and produces positive pressure. It is a non-local/ non-analytical energy, an omnipresent that pervades everything. Dark energy is a space-time property; it was first discovered in 1998. The pressure makes space-time emerge from every point of the Universe and push it expansively. Quantum physics suggests that all the energy in the Universe can form a single universal emergent system, which produces time in the present before us in 4D space-time. This is dark energy. The expansion of space-time is universal and occurs everywhere. When this expansion occurs within atoms, it produces a space-time flux, which is gravity. The general expansion produces it and counteracts it. Pushing space-time outside of Earth (Earth does not expand, just looks like it does) is this space-time flux that makes Earth coordinates move upward, to make it feel like falling into Earth. The apparent matter expansion is its complement mirror. Here, we present Gravity as accelerated space-time flow going out from massive objects. (shrink)

We propose an operator constraint equation for the wavefunction of the Universe that admits genuine evolution. While the corresponding classical theory is equivalent to the canonical decomposition of General Relativity, the quantum theory contains an evolution equation distinct from standard Wheeler–DeWitt cosmology. Furthermore, the local symmetry principle—and corresponding observables—of the theory have a direct interpretation in terms of a conventional gauge theory, where the gauge symmetry group is that of spatial conformal diffeomorphisms (that preserve the spatial volume of the Universe). (...) The global evolution is in terms of an arbitrary parameter that serves only as an unobservable label for successive states of the Universe. Our proposal follows unambiguously from a suggestion of York whereby the independently specifiable initial data in the action principle of General Relativity is given by a conformal geometry and the spatial average of the York time on the spacelike hypersurfaces that bound the variation. Remarkably, such a variational principle uniquely selects the form of the constraints of the theory so that we can establish a precise notion of both symmetry and evolution in quantum gravity. (shrink)

This work is intended to illustrate how gravity is a major factor in shaping life as we know it. It will be argued here that gravity has an influence at all levels, from particles to planets. Moreover, that any change in gravitational acceleration will have a direct and inevitable impact upon the form of any organism. From a fresh perspective some of the mysteries of evolution will be examined in light of gravity and its ubiquity. The creatures (...) of the Earth, past and present, have taken on many forms but why is it that all the terrestrial mega fauna have become extinct? Why is it that reptiles today are only a fraction of the size of their ancestors? Why is it that an insect never reaches the size of a large mammal? What is Tensegrity and how does it influence the structure of the cell, the protein and the larger body of an organism? Many of the considerations here are taken from novel scientific thinkers; these will be outlined and discussed. Many of the ideas may seem controversial and provocative but the author makes no apology for their inclusion. Indeed the purpose here is to stimulate a debate that hopefully leads to a better understanding of life and its evolution. (shrink)

It is shown how to identify potential signatures of noncommutative geometry within the decay spectrum of a muon in orbit near the event horizon of a microscopic Schwarzschild black hole. This possibility follows from a re-interpretation of Moffat’s nonsymmetric theory of gravity, first published in Phys. Rev. D 19:3554, 1979, where the antisymmetric part of the metric tensor manifests the hypothesized noncommutative geometric structure throughout the manifold. It is further shown that for a given sign convention, the predicted signatures (...) counteract the effects of curvature-induced muon stabilization predicted by Singh and Mobed in Phys. Rev. D 79:024026, 2009. While it is unclear whether evidence for noncommutative geometry may become observable anytime soon, this approach at least provides a useful direction for future quantum gravity research based on the ideas presented here. (shrink)

Gravity’s Ghost is a book about the search for gravitational waves , which are predicted by the general theory of relativity to be ripples in space–time that propagate at the speed of light. The direct detection of GWs, if they exist at all, is exceptionally difficult, because they are theoretically expected to be very weakly coupled to matter. To this date, there is yet no conclusive evidence for the direct detection of GWs. The search for GWs was started by (...) a series of experiments performed by Joseph Weber in the 1960s. The history of the early GW detection experiments, as well as Weber’s claimed detection of GWs, which was eventually discredited, has been examined in great details by Harry Collins .Collins has long advocated a sociological approach to the study of scientific research groups that is premised on the view that in order to understand how scientific knowledge is produced collectively by a group of researchers, it is necessary to engage in the cultu .. (shrink)

A case study of quantum mechanics is investigated in the framework of the philosophical opposition “mathematical model – reality”. All classical science obeys the postulate about the fundamental difference of model and reality, and thus distinguishing epistemology from ontology fundamentally. The theorems about the absence of hidden variables in quantum mechanics imply for it to be “complete” (versus Einstein’s opinion). That consistent completeness (unlike arithmetic to set theory in the foundations of mathematics in Gödel’s opinion) can be interpreted furthermore as (...) the coincidence of model and reality. The paper discusses the option and fact of that coincidence it its base: the fundamental postulate formulated by Niels Bohr about what quantum mechanics studies (unlike all classical science). Quantum mechanics involves and develops further both identification and disjunctive distinction of the global space of the apparatus and the local space of the investigated quantum entity as complementary to each other. This results into the analogical complementarity of model and reality in quantum mechanics. The apparatus turns out to be both absolutely “transparent” and identically coinciding simultaneously with the reflected quantum reality. Thus, the coincidence of model and reality is postulated as necessary condition for cognition in quantum mechanics by Bohr’s postulate and further, embodied in its formalism of the separable complex Hilbert space, in turn, implying the theorems of the absence of hidden variables (or the equivalent to them “conservation of energy conservation” in quantum mechanics). What the apparatus and measured entity exchange cannot be energy (for the different exponents of energy), but quantum information (as a certain, unambiguously determined wave function) therefore a generalized law of conservation, from which the conservation of energy conservation is a corollary. Particularly, the local and global space (rigorously justified in the Standard model) share the complementarity isomorphic to that of model and reality in the foundation of quantum mechanics. On that background, one can think of the troubles of “quantum gravity” as fundamental, direct corollaries from the postulates of quantum mechanics. Gravity can be defined only as a relation or by a pair of non-orthogonal separable complex Hilbert space attachable whether to two “parts” or to a whole and its parts. On the contrary, all the three fundamental interactions in the Standard model are “flat” and only “properties”: they need only a single separable complex Hilbert space to be defined. (shrink)

Abstract I develop the idea that there exists a special dimension of depth, or of scale. The depth dimension is physically real and extends from the bottom micro-level to the ultimate macro-level of the Universe. The depth dimension, or the scales axis, complements the standard three spatial dimensions. I discuss the tentative qualities of the depth dimension and the universal arrangement of matter along this dimension. I suggest that all matter in the Universe, at least in the present cosmological epoch, (...) is in joint downward motion along the depth dimension. The joint downward motion manifests itself in the universal contraction of matter. The opposite direction of motion, upward the dimension, would cause the expansion of matter. The contraction of matter is a primary factor, whereas the shrinking of space in the vicinity of matter is a derivative phenomenon. The observed expansion of the Universe is explained by the fact that celestial bodies become smaller due to matter contraction, while the overall space remains predominantly intact. Thus, relative to the contracting material bodies, the total span of cosmic space appears to be becoming vaster. I attempt to explain how the contraction of matter engenders the effect of universal gravity. I use over thirty animated and graphical color visualizations in the text to make the explanation of the proposed ideas more lucid. Content Type Journal Article Category Original Paper Pages 1-39 DOI 10.1007/s10516-011-9178-4 Authors A. Alyushin, Department of Philosophy, The Higher School of Economics, 20 Myasnitskaya Street, 101000 Moscow, Russia Journal Axiomathes Online ISSN 1572-8390 Print ISSN 1122-1151. (shrink)

We describe our explicit Lorentz-invariant solution of the Einstein and null geodesic equations for the deflection experiment of 2002 September 8 when a massive moving body, Jupiter, passed within 3.7’ of a line-of-sight to a distant quasar. We develop a general relativistic framework which shows that our measurement of the retarded position of a moving light-ray deflecting body (Jupiter) by making use of the gravitational time delay of quasar’s radio wave is equivalent to comparison of the relativistic laws of the (...) Lorentz transformation for gravity and light. Because, according to Einstein, the Lorentz transformation of gravity field variables must depend on a fundamental speed c, its measurement through the retarded position of Jupiter in the gravitational time delay allows us to study the causal nature of gravity and to set an upper limit on the speed of propagation of gravity in the near zone of the solar system as contrasted to the speed of the radio waves. In particular, the v/c term beyond of the standard Einstein’s deflection, which we measured to 20% accuracy, is associated with the aberration of the null direction of the gravity force (“aberration of gravity”) caused by the Lorentz transformation of the Christoffel symbols from the static frame of Jupiter to the moving frame of observer. General relativistic formulation of the experiment identifies the aberration of gravity with the retardation of gravity because the speed of gravitational waves in Einstein’s theory is equal to the speed of propagation of the gravity force. We discuss the misconceptions which have inhibited the acceptance of this interpretation of the experiment. We also comment on other interpretations of this experiment by Asada, Will, Samuel, Pascual–Sánchez, and Carlip and show that their “speed of light” interpretations confuse the Lorentz transformation for gravity with that for light, and the fundamental speed of gravity with the physical speed of light from the quasar. For this reason, the “speed of light” interpretations are not entirely consistent with a retarded Liénard–Wiechert solution of the Einstein equations, and do not properly incorporate how the phase of the radio waves from the quasar is perturbed by the retarded gravitational field of Jupiter. Although all of the formulations predict the same deflection to the order of v/c, our formulation shows that the underlying cause of this deflection term is associated with the aberration of gravity and not of light, and that the interpretations predict different deflections at higher orders of v/c beyond the Shapiro delay, thus, making their measurement highly desirable for deeper testing of general relativity in future astrometric experiments like Gaia, SIM, and SKA. (shrink)

Samuel Clarke is best known to historians of science for presenting Isaac Newton’s views to a wider audience, especially in his famous correspondence with G. W. Leibniz. Clarke’s independent writings, however, reveal positions that do not derive from, and do not coincide with, Newton’s. This essay compares Clarke’s and Newton’s ideas on the cause of gravity, with a view to clarifying our understanding of Newton’s views. There is evidence to suggest that Newton believed God was directly responsible for (...) class='Hi'>gravity, and this interpretation has been promoted by a number of scholars. By comparing Newton’s views with those of Clarke, however, it can be seen that Newton did not subscribe to the kind of occasionalist approach to gravity that Clarke developed. Clarke insisted that matter was categorically incapable of being endowed with powers or forces and that therefore what looks like gravitational attraction has to be performed directly by God or by angels. By comparing Clarke’s pronouncements with Newton’s, it becomes clear that Newton adopted the more standard line: that the first cause, God, operated in nature through secondary causes and that gravitational attraction was just such a secondary (albeit occult) cause. (shrink)

Dark matter is an essential ingredient of the present Standard Cosmological Model, according to which only 5% of the mass/energy content of our universe is made of ordinary matter. In recent times, it has been argued that certain cases of gravitational lensing represent a new type of evidence for the existence of DM. In a recent paper, Peter Kosso attempts to substantiate that claim. His argument is that, although in such cases DM is only detected by its gravitational effects, gravitational (...) lensing is a direct consequence of Einstein's Equivalence Principle and therefore the complete gravitational theory is not needed in order to derive such lensing effects. In this paper I critically examine Kosso's argument: I confront the notion of empirical evidence involved in the discussion and argue that EEP does not have enough power by itself to sustain the claim that gravitational lensing in the Bullet Cluster constitutes evidence for the DM Hypothesis. As a consequence of this, it is necessary to examine the details of alternative theories of gravity to decide whether certain empirical situations are indeed evidence for the existence of DM. It may well be correct that gravitational lensing does constitute evidence for the DM Hypothesis—at present it is controversial whether the proposed modifications of gravitation all need DM to account for the phenomenon of gravitational lensing and if so, of which kind—but this will not be a direct consequence of EEP. (shrink)

In this paper, we present a non-geometrodynamic quantum Yang–Mills theory of gravity based on the homogeneous Lorentz group within the general framework of the Poincare gauge theories. The obstacles of this treatment are that first, on the one hand, the gauge group that is available for this purpose is non-compact. On the other hand, Yang–Mills theories with non-compact groups are rarely healthy, and only a few instances exist in the literature. Second, it is not clear how the direct observations (...) of space–time waves can be explained when space–time has no dynamics. We show that the theory is unitary and is renormalizable to the one-loop perturbation. Although in our proposal, gravity is not associated with any elementary particle analogous to the graviton, classical helicity-two space–time waves are explained. Five essential exact solutions to the field equations of our proposal are presented as well. We also discuss a few experimental tests that can falsify the presented Yang–Mills theory. (shrink)

In this review paper, we discuss how gravity and spin can be obtained as the realization of the local Conformal-Affine group of symmetry transformations. In particular, we show how gravitation is a gauge theory which can be obtained starting from some local invariance as the Poincaré local symmetry. We review previous results where the inhomogeneous connection coefficients, transforming under the Lorentz group, give rise to gravitational gauge potentials which can be used to define covariant derivatives accommodating minimal couplings of (...) matter, gauge fields (and then spin connections). After we show, in a self-contained approach, how the tetrads and the Lorentz group can be used to induce the spacetime metric and then the Invariance Induced Gravity can be directly obtained both in holonomic and anholonomic pictures. Besides, we show how tensor valued connection forms act as auxiliary dynamical fields associated with the dilation, special conformal and deformation (shear) degrees of freedom, inherent to the bundle manifold. As a result, this allows to determine the bundle curvature of the theory and then to construct boundary topological invariants which give rise to a prototype (source free) gravitational Lagrangian. Finally, the Bianchi identities, the covariant field equations and the gauge currents are obtained determining completely the dynamics. (shrink)

The main topics of this second part of a two-part essay are some consequences of the phenomenon of vacuum polarization as the most important physical manifestation of modular localization. Besides philosophically unexpected consequences, it has led to a new constructive “outside-inwards approach” in which the pointlike fields and the compactly localized operator algebras which they generate only appear from intersecting much simpler algebras localized in noncompact wedge regions whose generators have extremely mild almost free field behavior. -/- Another consequence of (...) vacuum polarization presented in this essay is the localization entropy near a causal horizon which follows a logarithmically modified area law in which a dimensionless area (the area divided by the square of dR where dR is the thickness of a light-sheet) appears. There are arguments that this logarithmically modified area law corresponds to the volume law of the standard heat bath thermal behavior. We also explain the symmetry enhancing effect of holographic projections onto the causal horizon of a region and show that the resulting infinite dimensional symmetry groups contain the Bondi–Metzner–Sachs group. This essay is the second part of a partitioned longer paper. (shrink)

Not a full treatment of Newton’s scientific method, this book discusses his optical research only in passing (342–43). Its subtitle better indicates its scope: it focuses narrowly on the argument for universal gravitation in Book III of the Principia. The philosophical project is to set out an “ideal of empirical success” realized by the argument. Newton claims his method is to “deduce” propositions “from phenomena.” On Harper’s interpretation Newton’s phenomena are patterns of data, which are used to measure “parameters” by (...) which the theory explains them. An example is Kepler’s Area Rule. Its fit to the data confirms the hypothesis that the force maintaining a body in orbit is directed toward the .. (shrink)

The aim of the experiment was to evaluate the adaptive responses of biomechanical and electromyographic parameters to vertical unloading when walking during the 4-month isolation experiment SIRIUS-19 in the ground-based space station model. The study involved 6 healthy international crew members of the SIRIUS-19 project aged 34 ± 6.2 years. Body Weight Unloading conditions was created by the h/p/cosmos airwalk system. The locomotor test included walking with a sequential change of BWU modes: 5-min walking with 0% BWU, 5-min walking with (...) 65% BWU and 5-min walking with 85% BWU. Ground Reaction Force was recorded by the h/p/cosmos treadmill device. Muscle Lab Model 4000e device was used to record the electromyographic signals of the hip and shin muscles. The locomotor test was performed twice before GBI, monthly during GBI and 1 week after leaving isolation. The results obtained before GBI demonstrate that the changes of support and proprioceptive afferentation signals play significant role in reorganizing of the biomechanical structure of motor acts and the development of new movement patterns. The results of the study are consistent with the previously obtained results of other studies in this direction. Despite the fact that during the GBI the participants of the experiment performed regular physical training, a decrease in the performance indicators values was detected, especially pronounced after 100 days of GBI. This is probably due to limited space of a space station model, as well as the development of a special motor stereotype in it. Noteworthy are the results obtained after the 4th session of the experiment, indicating the effect of sensorimotor learning. We think that the data obtained in this study will be useful in research both in gravitational physiology and in clinical medicine. (shrink)

Since the “The Belt and Road” initiative was put forward in 2013, China's foreign investment growth rate has been greatly accelerated. In The Belt and Road context, many scholars used models to analyze the relationship between foreign direct investment, trade flows, and import and export trade. From literature reviews, it is found that previous scholars do not conform to reality and cannot be studied dynamically. Therefore, this study used the panel data of China's foreign direct investment and import and export (...) trade in 40 countries along “The Belt and Road” from 2010 to 2019 to focuses on the impact of foreign direct investment on trade flows, import trade and export trade. Regression analysis was carried out with the trade gravity model and Tinbergen's trade gravity model. In addition to model variables and arguments, the following control variables were adopted: exchange rate, natural resource rents, labor force population, differences in consumer ability, trade openness, and trade agreement signing. The results found that: Foreign direct investment has a positive correlation with trade flow and import and export trade. The labor force population has a negative correlation with trade flow, and import and export trade. The expansion of China's economic scale can increase the scale of China's import and export trade, at the same time, the gap in consumption levels between the two countries will restrict the degree of import and export trade. The possession of natural resources can also promote the development of trade. (shrink)

Following the financial crisis and recent recession, the center of gravity of global economic growth and competitiveness is shifting toward emerging economies. As a leading and increasingly influential emerging economy, China is currently attracting the attention of academics, practitioners, and policy makers. There has been an increase in research interest in and publications on issues relating to China within high-quality international academic journals. We therefore organized a special issue conference in conjunction with the Journal of Business Ethics in Lhasa, (...) Tibet, on May 19–20, 2014, on Business Ethics in Greater China: Past, Present and Future. The papers for the special issue focused on the intersection of ethics and finance, and fit within one of the three themes: environment and sustainability, corporate social responsibility, and fraud. Within these themes, issues of intellectual capital protection, gender equality, political connections, regional development, investor protection, corporate stewardship, trust and corruption, and corporate transparency each play a significant role. In this paper, we survey these studies and the related literature to provide a comprehensive coverage of business ethics and finance issues that affect China. (shrink)

This paper focuses on abduction as explicit or readily formulatable inference to possible explanatory hypotheses--as contrasted with inference to conceptual innovations or abductive logic as a cycle of hypotheses, deduction of consequences and inductive testing. Inference to an explanation is often a matter of projection or extrapolation of elements of accepted theory for the solution of outstanding problems in particular domains of inquiry. I say "projections or extrapolation" of accepted theory, but I mean to point to something broader and suggest (...) how elements of accepted theory constrain emergent models and plausible inferences to explanations--in a quasi-rationalist fashion. I draw on illustrations from quantum gravity below just because there is so little direct evidence available in the field. It is in such cases that Peirce's discussions of abductive inference provide the most plausible support for the idea of a logic of abduction--as inference to readily formulatable explanatory hypotheses. The possible need for conceptual innovation points to the limits on the possibility of a logic of abduction of a more rationalistic character--selecting uniquely superior explanations. Abduction conceived as a repeated cycle of inquiry also points to limits on our expectations for an abductive logic. My chief point is that the character of inference to an explanation, viewed below as embedded within arguments from analogy, is so little compelling, as a matter of logical form alone, that there will always be a pluralism of plausible alternatives among untested hypotheses and inferences to them--calling for some comparative evaluation. This point leads on to some consideration of the virtues of hypotheses--as a description of the range of this pluralism. (shrink)

It is widely hoped that quantum gravity will shed light on the question of the origin of time in physics. The currently dominant approaches to a candidate quantum theory of gravity have naturally evolved from general relativity, on the one hand, and from particle physics, on the other hand. A third important branch of twentieth century ‘fundamental’ physics, condensed-matter physics, also offers an interesting perspective on quantum gravity, and thereby on the problem of time. The bottomline might (...) sound disappointing: to understand the origin of time, much more experimental input is needed than what is available today. Moreover it is far from obvious that we will ever find out the true origin of physical time, even if we become able to directly probe physics at the Planck scale. But we might learn some interesting lessons about time and the structure of our universe in the process. A first lesson is that there are probably several characteristic scales associated with “quantum gravity” effects, rather than the single Planck scale usually considered. These can differ by several orders of magnitude, and thereby conspire to hide certain effects expected from quantum gravity, rendering them undetectable even with Planck-scale experiments. A more tentative conclusion is that the hierarchy between general relativity, special relativity and Newtonian physics, usually taken for granted, might have to be interpreted with caution. (shrink)

Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess manuscript (...) versions of Newton's initial argument within his initial deduction, dating from early 1685. Newton's strategy depends on distinguishing two quantities of matter, which I call ‘active’ and ‘passive’, by how they are measured. These measurement procedures frame conditions on the additivity of each quantity so measured. While Newton has direct evidence for the additivity of passive quantity of matter, he does not for that of the active quantity. Instead, he tries to infer the latter from the former via conceptual analyses of the third law of motion grounded largely on analogies to magnetic attractions. The conditions needed to establish passive additivity frustrate Newton's attempted inference to active additivity. (shrink)

The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary particle, (...) neutrino, on the ground of energy conservation in quantum mechanics, afterwards confirmed experimentally. Bohr recognized his defeat and Pauli’s truth: the paradigm of elementary particles (furthermore underlying the Standard model) dominates nowadays. However, the reason of energy conservation in quantum mechanics is quite different from that in classical mechanics (the Lie group of all translations in time). Even more, if the reason was the latter, Bohr, Cramers, and Slatters’s argument would be valid. The link between the “conservation of energy conservation” and the problem of hidden variables is the following: the former is equivalent to their absence. The same can be verified historically by the unification of Heisenberg’s matrix mechanics and Schrödinger’s wave mechanics in the contemporary quantum mechanics by means of the separable complex Hilbert space. The Heisenberg version relies on the vector interpretation of Hilbert space, and the Schrödinger one, on the wave-function interpretation. However the both are equivalent to each other only under the additional condition that a certain well-ordering is equivalent to the corresponding ordinal number (as in Neumann’s definition of “ordinal number”). The same condition interpreted in the proper terms of quantum mechanics means its “unitarity”, therefore the “conservation of energy conservation”. In other words, the “conservation of energy conservation” is postulated in the foundations of quantum mechanics by means of the concept of the separable complex Hilbert space, which furthermore is equivalent to postulating the absence of hidden variables in quantum mechanics (directly deducible from the properties of that Hilbert space). Further, the lesson of that unification (of Heisenberg’s approach and Schrödinger’s version) can be directly interpreted in terms of the unification of general relativity and quantum mechanics in the cherished “quantum gravity” as well as a “manual” of how one can do this considering them as isomorphic to each other in a new mathematical structure corresponding to quantum information. Even more, the condition of the unification is analogical to that in the historical precedent of the unifying mathematical structure (namely the separable complex Hilbert space of quantum mechanics) and consists in the class of equivalence of any smooth deformations of the pseudo-Riemannian space of general relativity: each element of that class is a wave function and vice versa as well. Thus, quantum mechanics can be considered as a “thermodynamic version” of general relativity, after which the universe is observed as if “outside” (similarly to a phenomenological thermodynamic system observable only “outside” as a whole). The statistical approach to that “phenomenological thermodynamics” of quantum mechanics implies Gibbs classes of equivalence of all states of the universe, furthermore re-presentable in Boltzmann’s manner implying general relativity properly … The meta-lesson is that the historical lesson can serve for future discoveries. (shrink)

Dennett elabora una concepción del “yo” entendido como un centro de gravedad narrativo. Uno de los obstáculos principales para valorar esta propuesta radica en que resulta dificultoso entender cuál es la naturaleza del concepto dennettiano de “yo”: concretamente, cuáles son los compromisos ontológicos y epistemológicos que cabe atribuir al fenómeno en cuestión. En este artículo defendemos que el mejor modo de realizar una reconstrucción interpretativa de su noción de “yo” es apelando a la distinción elaborada por Reichenbach entre tres clases (...) de entidades, Concreta,a e Illata, y entendiendo a los centros de gravedad narrativos como un caso de Abstracta reichenbachiano. Sostenemos que resulta pertinente e iluminador entender los centros de gravedad narrativos como Abstracta en el sentido de Reichenbach, apoyándonos en que: i) aunque no la aplica directamente al problema de la naturaleza del “yo”, Dennett sí emplea la distinción de Reichenbach en otras partes de su obra; ii) Dennett traza explícitamente una analogía del “yo” con los centros de gravedad que son, justamente, uno de sus ejemplos de Abstracta; iii) este modo de entender al “yo” permite dar sentido y entender mejor ciertos aspectos de la teoría narrativista dennettiana. Además de permitirnos clarificar las metáforas empleadas por Dennett en la elaboración de su teoría narrativa, dicha elucidación conceptual permite comprender mejor la distinción entre las tres clases de psicología intencional trazada por Dennett y es útil para sugerir a cuál de estos tres tipos pertenece el concepto de “yo”. Dennett's theory of personal identity argues that the “self” is no more than a center of narrative gravity. One of the main hurdles to assessing this proposal lies in the fact that it is difficult to understand what the nature of Dennett's concept of "self" is; specifically, what are the ontological and epistemological commitments that can be attributed to the phenomenon in question. In this article, we claim that the best way to make an interpretative reconstruction of his notion of "self" is appealing to the distinction elaborated by Reichenbach between three classes of entities, Concreta, Abstracta, and Illata, and understanding the narrative centers of gravity as a case of Reichenbachian Abstracta. We defend that understanding the narrative centers of gravity as Abstracta in the sense of Reichenbach is pertinent and illuminating given that: i) although he does not apply it directly to the problem of the nature of the "self", Dennett does use Reichenbach's distinction in other parts of his work; ii) Dennett explicitly draws an analogy of the "self" with the centers of gravity that are, precisely, one of his examples of Abstracta; iii) this way of understanding the "self" allows us to give sense and better understand certain aspects of Dennett’s narrative theory. Besides allowing us to clarify the metaphors used by Dennett in the elaboration of his narrative theory, such conceptual elucidation allows us to better understand the distinction between the three classes of intentional psychology drawn by Dennett (1987) and is useful in suggesting to which of these three types the concept of "self" belongs. (shrink)

In today’s America the persistence of crushing poverty in the midst of staggering affluence no longer incites the righteous jeremiads it once did. Resigned acceptance of this paradox is fueled by a sense that poverty lies beyond the moral and technical scope of government remediation. The failure of experts to reach agreement on the causes of poverty merely exacerbates our despair. Are the causes internal to the poor – reflecting their more or less voluntary choices? Or do they emanate from (...) structures beyond their control? If both of these explanations are true, poverty experts will need to shift their focus to a hitherto under-theorized concept: coercion. I defend this claim by appealing to distinct areas of philosophical inquiry: social epistemology and moral theory. Poverty knowledge is directly related to both of these inquiries. The aim of poverty knowledge is clearly moral: to reduce suffering and to empower the weak. While the former aim is grounded in utilitarian thinking, the latter aim is grounded in the social contractarian insight that poverty is unjustly coercive, imposing excessive limits on the opportunities and choices of the poor that render them vulnerable to domination by others. Equally obvious is the social nature of poverty knowledge. All knowledge depends on the reliable testimony of others. Poverty knowledge not only ostensibly offers us the most reliable, scientific beliefs about the causes and effects of poverty, thereby determining how we morally judge the poor and their poverty, but it reciprocally bases its understanding of poverty on what the poor themselves have to say about it. What unites both social epistemology and moral theory – at least the social contract variants I will be examining here – is concern about the limits and possibilities of rational choice. As poverty knowledge came of age in the fifties and sixties, it absorbed the language of rational choice prevalent in economics, especially the Keynesian economics whose moral underpinnings can be found in Rawlsian social contract theory. Echoing a different economic theory supported by a different, more libertarian, brand of social contract theory, poverty expertise in the eighties continued to use an abstract model of rational choice. I submit that, in both early and later epochs of poverty expertise, reliance on rational choice reasoning prevented poverty experts from appreciating the coercive impact of poverty on the poor. Social epistemology explains this failure by demonstrating the poverty of rational choice thinking and its mistaken reliance on inflated commonsense expectations about the capacity of individuals to calculate their long-term interests, free from the distortions of social bias. Social epistemology not only exhibits the dangers of not relying on expert testimony, but it also exhibits the dangers of relying on an unreliable source of expert testimony that has removed itself from its human subject matter. In order for poverty experts to become more reliable educators about poverty’s coercive impact on the poor they must return to their discipline’s social epistemological roots. Only a more descriptive and explanatory sociology can narrate a comprehensive story about how the lived experience of poverty relates to the larger social system. The social contractarian model best suited to underwriting this kind of poverty knowledge, I submit, is the discourse theoretic model that has been championed by Jürgen Habermas. When applied as a pedagogical method of dialog and not as a social contractarian model of rational normative consent, discourse theory highlights the unique epistemological advantages of empathetic understanding that are so essential to dispelling stereotypes about the poor. Dispelling these stereotypes is the first step toward respecting the poor as free agents who are nonetheless forced to make suboptimal choices. My defense of these claims proceeds as follows: Part One argues that poverty expertise rightly deserves the opprobrium critics have heaped on it. The charge – leveled by progressives and conservatives alike - that such expertise is ideological is true to the extent that poverty knowledge has all-too-easily accommodated the political aims of the agency that has funded it: the federal government. The shift from the war on poverty to the war on the poor – and the resulting shift from blaming poverty on economic structures to blaming it on the culture of poverty – would not have been possible without an increased emphasis on data gathering aimed at measuring poverty rather than describing it. Part Two assesses the consequences of turning away from qualitative research to statistical analysis: the coercive nature of poverty becomes invisible beneath the surface of aggregate individual choices. The failure to grasp how voluntary choices, ostensibly based on rational, self-interested calculations, can be coerced by social structures - and thereby lead to sub-optimizing behavior – invites the conclusion that the poor have only themselves to blame for their misery. Part Three suggests that this pathologization of the poor directly controverts the major aim of poverty research: to empower the poor as free and equal parties to the social contract. I argue that the different varieties of social contract theory that have justified poverty expertise over the last forty years – the welfarist model pioneered by Rawls and the market-based model defended by Nozick – embrace the same rational choice models favored by poverty experts and so conspire with the latter in neglecting important dimensions of poverty-related coercion. While the welfarist model conceals the coercive nature of bureaucratically administered entitlement programs and top-down urban renewal policies, the market-based model conceals the coercive nature of economic class structures. The discourse-theoretic alternative proposed by Habermas endorses a populist, democratic response to the overly abstract rational choice assumptions embedded in these other models. Despite this advance over its counterparts, the chief advantage of discourse theory for poverty knowledge, I submit, resides less in its proposed procedure of rational collective choice than in its heuristic as a dialogical method of social learning. I demonstrate this claim in Part Four, where I turn to the social epistemological insights of Allen Buchanan. Social epistemology offers a much needed corrective to theories of knowledge that rely on the reasoning capacities of isolated individuals. By stressing the connection between moral response and social belief, on one hand, and the dependence of social belief on epistemic authorities, on the other, social epistemologists suggest ways in which we can learn to distinguish reliable from unreliable authorities and become aware of our own error-prone cognitive proclivities. Their insights need to be supplemented by moral epistemologists who stress the affective dimension of knowledge, above all, the role that empathy plays in understanding the plight of others. Drawing from victim narratives, Diana Meyers shows that switching between first-person experiences of one's own and third-person reconstructions of others' experiences is essential to appreciating the gravity of human rights violations and the seriousness of human rights claims. It goes without saying that such empathy is just as essential to understanding the plight of the poor. Meyers mainly has in mind empathetic understanding that has been facilitated by third-person observation and literary encounter, but the importance of visceral and corporeal representation suggests that face-to-face dialog may sometimes be a more effective way to facilitate empathetic understanding. (shrink)

Over _Principles_ 42-43, Berkeley worried that we might "in truth" see things existing at a distance from us, in which case they could not plausibly be supposed to exist independently of being perceived. He went on to say that he had developed his new theory of vision to address this worry. This paper argues that the worry is serious and that Berkeley was right to think that it would take nothing less than a theory of vision to address it. The (...) paper further argues that Berkeley's theory of vision fails to adequately address the worry. The locus of the failure is Berkeley's account of what he called "situation." The term has an ambiguity that Berkeley exploited. It can refer to how coloured points are localized on a two dimensional visual field or it can mean how the visual field is oriented with respect to the direction of gravity. Berkeley focused on the second when he needed to explain how the first is possible without granting that we originally experience objects as disposed over at least two spatial dimensions. (shrink)

continent. 1.4 (2011): 279—285. Concerning its Transitive Nature, the Conversion of Native Americans of Spanish Colonial California, Indoctrinated Catholicism, & the Creation There’s no direct archaeological evidence that Jesus ever existed. 1 I memorized the Act of Contrition. I don’t remember it now, except the beginning: Forgive me Father for I have sinned . . . This was in preparation for the Sacrament of Holy Reconciliation, where in a confessional I confessed my sins to Father Scott, who looked like Jesus, (...) at least in Western cultural representations of Jesus since the middle ages, and if Jesus put on a few pounds. Father Scott was long-haired, redheaded, bearded, chubby, and tall. When he left church with the procession of altar servers and Eucharistic ministers, yelling, “Sing a Good Song Unto the Lord,” he smiled, hands folded, and he gazed over his parishioners, and bounced along. For four months every year he lived among the Crow Nation in Montana, where towards the end of his tenure at Our Lady of Refuge, they adopted him as an honorary member of their tribe. * This is the prayer we chanted, holding hands, every night before dinner: Bless us oh Lord, for these our gifts, which we are about to receive, our bounty through Christ, our Lord, Amen. Then we all said, God bless the cook! When we were with my grandparents, Grandpa said, God bless Chicky, and Holly, and Harvey, and Boots—all the dead dogs. * My sister tells me that she sits next to a handsome man on a flight across the country. After chitchat, she withdraws her book. She’s reading Kevin Sampsell’s A Common Pornography . After a few moments, the handsome man also reads from his book—his leather-bound Bible. Sister thinks, Oh, Jesus—too bad. She falls asleep. Later, settled in Nashville, she opens her volume and out falls a Jesus-covered card that reads, You can still find God and Salvation! Because that handsome God-fearing young man saw that word— pornography . * I suppose Father Jim’s dark hair, beard, and glasses made me think doctoral-ly of him. He called while I was in the midst of a breakup, after I’d twice attempted suicide, and my mother was desperate for help. She somehow found and phoned him. And Jim, now years out of Our Lady of Refuge’s parish, twenty years since my baptism, years even since he’d left the priesthood and the Catholic faith, still made the effort to bring me back into the fold. He said, “Have you seen a priest?” I did not respond, as I was more shocked to hear his voice than anything, so I said, “How are you, Father Jim? Sorry, I guess I shouldn’t call you ‘Father.’” And I said, “Why did you leave the priesthood? Do you have a girlfriend?” He said that I should call him just “Jim.” He said, “Do you need someone to talk to?” I said, “Not really.” He said, “Call your mother; she’s worried about you.” That was the last time I talked to Father Jim. * Mother let me know just how disappointed Jesus was. I cried and cried, and said I was sorry. Into my hands she placed my missal, ordered forty Rosaries. She said next Saturday I would go to confession. I hated confession. Who wouldn’t? * I realize, of course, that this page is a kind of confessional. * The Kumeyaay, Ipai, Tipai, Chumash, Esselen, Rumsen—all Native Americans of Alta California—shared similarities in their religions. Southern Californian tribes made use of Datura, or jimpson weed, a hallucinogen, for religious rituals. In the creation, God made brother sky and sister earth. Brother and sister mated, and sister gave birth to all things on Earth, including people, but it was difficult to distinguish people from all other aspects of Earth because everything was alive: granite and obsidian, the Pacific and its waves, the San Diego and Los Angeles Rivers. Wiyot—a hero—was very powerful, born from lightning, the son of the Creator and a virgin. When Wiyot thought that human women’s legs were more beautiful than Frog’s, Frog became jealous and poisoned Wiyot. The dying Wiyot went to all the people’s villages, and he distributed his power among them. He said, “When I die, I should be cremated.” The people built the fire and funeral pyre. When the fire was ready, and the people about to place Wiyot’s body upon it, Coyote came and snatched away Wiyot’s heart. * My friend Nick told me once how he ate some jimpson weed and that he hallucinated for three days. His family took a road trip and, while driving over the Sierra Nevada mountains, he kept seeing dinosaurs roaming the open meadows and charging down snowy slopes. So it’s no wonder that Native Americans who ingested this plant would have developed religion. * Walking Castroville’s streets after school I got into fights but mostly watched other boys scrabbling on the asphalt. I went to Burger King for Whoppers. Me and my friends cussed. Antonio admonished me when I said, “damn,” while strutting a sidewalk alongside the church. He said, “Jaime”—pronounced Hi-May, which was what all the Mexicans called me—“you’re crazy, eh. Don’t cuss at the church.” He meant while at church, as in, within its vicinity. I said, “We’re not in church.” Once we’d crossed the street, Tony said, “Damn dude, you’re fuckin crazy!” * Blessed Father Fray Junípero Serra raised the Eucharistic goblet to his lips, and candlelight danced on the blood’s tiny waves. Incense clouded the church so completely that some of the Pame natives grew nauseous. So, too, felt Blessed Father Fray Junípero Serra later that night, as he bent over a ceramic bowl and vomited blood, not only the Lord’s, but his own, for poison had laced the sacred vessel into which he poured the sacrament. The physician tending to the sick prelate urged him to take the remedy he’d prepared. But Blessed Father Fray Junípero Serra refused, said that he would pray, for he had never taken any medicine in his life, and he never would. * The Chumash of El Valle de Los Osos called themselves the Stishni, separating themselves from Chumash of other regions, those varying tribes of the central California coast that spoke mutually unintelligible dialects of their Hokan language. This made learning their languages impossible for the Spanish friars, to say nothing of translating the Doctrina. Thus the priests baptized few natives, despite the help that the tribes offered the fledgling settlements in the form of meat and acorn meal, which the Spaniards found repugnant. Some from these cultures, feeling threatened by the newcomers, shot flaming arrows into the thatched roofs of the mission structures. And why wouldn’t they feel threatened when priests chastised them for performing, for example, their Coyote Dance, wherein a man donning a coyote-skin-and-skull costume dances while a singer sings his tale, which laments the human feces strewn imaginatively about the Earth? Coyote, meantime, tries to get an onlooker to lick his genitals, and finally engages in public sexual intercourse with a female tribe member or two, then ends the dance by defecating. Though the Franciscans called such forbidden acts devilry , the Chumash maintained their Datura cult religion, along with the enforced Christianity. For the Chumash, the Earth was made of two enormous snakes that caused earthquakes when they slithered past one another—a vast reptilian tectonics. In the 20th century, long after Blessed Father Fray Junípero Serra and his cohorts had died, when asked by an anthropologist about religious contradictions, conflating the Datura and Christian cults, a Chumash man replied, incredulous: “But these are two different religions.” * When Portolá ordered that if by March 19th, the feast day of St. Joseph, the San Antonio had not arrived in San Diego Bay to relieve them, the Sacred Expedition to Nueva California would be abandoned, Blessed Father Fray Junípero Serra prayed a novena for San José’s intercession. And lo, a lookout sighted the San Antonio ’s sails—what seemed to the priest a miracle—that very Saint’s feast day. Europeans would stay in California, and Blessed Father Fray Junípero Serra would continue to reap a great harvest of souls for the Lord. By the end of mission secularization in 1836—sixty-six years after the San Antonio rescued the Spaniards—Native American populations in California had declined by seventy-three percent. * When Peter the Aleut would not renounce his Eastern Orthodox faith the padre of San Francisco had a toe severed from each foot with each refusal, totaling ten. The native Ohlones employed in this gruesome task—their obsidian chiseled knives tearing through skin and grinding bone—continued as per their orders, and cut off also each of Peter’s fingers (equals a total of twenty refusals). They quartered the martyr, spilled his bowels, as if from bear attack, attack by a bear in the shape of a Catholic. * Blessed Father Fray Junípero Serra absolutely believed that the slow rate of conversion for the native people was due to the influence of the Devil, who had been outraged by the coming of the Catholics to California, this region that he had long held in his dominion. * In his reception speech for the Nobel Prize for Literature, John Steinbeck said, “Man himself has become our greatest hazard and our only hope. So that today, St. John the Apostle may well be paraphrased: In the end is the Word, and the Word is Man—and the Word is with Men.” * In 1602, when Sebastián Vizcaíno and his friars sang mass on Catalina Island, as many as a hundred Pimungans witnessed the rite, asking by signs what it was about. According to Vizcaíno’s records, the Californians marveled not a little at the idea of Heaven and at the image of Jesus crucified. * Vizcaíno was brought to a prairie on Santa Catalina Island where the Pimungans worshipped their sun god. Upon the prairie they had placed an icon, a headless figure with horns protruding from the body, a figure that Vizcaíno predictably described as a demon. The Pimungans urged Vizcaíno not to approach the image of their deity, but he ignored them. He placed his crucifix against the wooden figurine and prayed the Our Father. Vizcaíno told the natives that his prayer was from Heaven, and that their god was the Devil. Vizcaíno held out his crucifix, encouraging the Pimungans to touch it and receive Jesus. He pointed at the sky and indicated Heaven. The Pimungans worshipped a sun deity, so they were impressed with this white man and his description of his god, for their gods seemed to be one and the same. It’s no wonder then that Vizcaíno’s diary reports the natives being pleased with this exchange. “Surely,” the diary says, “they will be converted to our Holy Faith.” * The Miwok women wailed and scratched at their faces when their men consorted with Sir Francis Drake and the other Englishmen who had landed on California’s coast in the summer of 1579. “The blood streaming downe along their brests, besides despoiling the upper parts of their bodies of those single coverings . . .they would with furie cast themselves upon the ground . . . on hard stones, knobby hillocks, stocks of wood, and pricking bushes.” Drake and his men fell themselves to their knees in prayer, their eyes Heavenward, so that the natives might see they prayed to God and they too might worship God then their eyes that had been so blinded by the deceiver might be opened. * Father Fray Antonio de la Ascención—Carmelite friar in Vizcaíno’s party—writes that the Indians of California can “easily and with very little labor be taught our Holy Catholic faith, and that they would receive it well and lovingly.” He calls for two hundred older and honorable soldiers to ensure brotherhood during the conquest, so that peace and love—the best tools to pacify pagans—should reign. The religious, the friar says, should likewise be wise and loving to easily quell animosities between Spaniards and the heathen, and therefore avoid war. The Spaniards should bring with them trinkets—beads, mirrors, knives—to distribute amongst the gentiles, so that they might come to love the Christians, and see “that they are coming to their lands to give them that of which they bring, and not to take away the Indians’ possessions, and may understand that they are seeking the good of their souls.” No women are to accompany the conquest, says Father Fray Antonio, “to avoid offenses to God.” * In 1955 Wallace Stevens admitted himself to St. Francis Hospital in Hartford, Connecticut. There, it’s rumored he converted to Catholicism before dying of stomach cancer, exclaiming to his priest after the baptism, “Now I am in the fold.” Stevens’s late-career poems seem less cynical, more in awe of being and death (read “Metaphor as Degeneration” from The Auroras of Autumn ). He could have chosen from at least three secular hospitals in Hartford at the time. * I was reading Stevens’s Collected Poems when I joined eHarmony and listed that as my “currently reading” book among the “more than twelve” books a year that I would read. I fell in love with my wife when she said, “Are you sending your work out to literary journals?” Prior to this, the first girl I talked to on the phone, when I explained my doctoral exams, said, “So, you’re like, reading Stephen King and stuff?” When I said not exactly she responded defensively: “He must be doing something right, since he makes all that money.” * Mom walked me, my brother, and sister, through the Stations of the Cross. We did this on Ash Wednesdays, or whenever she thought we needed extra God after church. It might’ve happened before church, though that’s unlikely because we were always late. Anyway, it’s easiest to walk the Stations of the Cross when there’s no one else around. To walk the actual Stations means one goes to Jerusalem and walks the Via Dolorosa to the Church of the Holy Sepulchre. So the Stations elsewhere—usually paintings, or low-relief sculptures upon church walls—serve as a kind of virtual Dolorosa. Mom held our hands and started from the rear of Our Lady of Refuge: the First Station. Mom said we should say a prayer at each Station and to think of all the pain Jesus went through so that we could go to Heaven. It was hard to keep thinking about that one thing for so long. My mind went to that Saturday’s little league game, to the donut and chocolate milk (our after-church reward from Castroville Bakery), and as I grew older I thought about girls. When you’re thirteen you can’t not think about the girl’s butt in the pew in front of yours as she kneels and stands to pray throughout mass. * It grew increasingly juvenile to lie awake at night daring myself to utter a simple sentence. Even if I said I didn’t believe in God, wouldn’t He know the truth? He was omniscient, like a narrator. Even the idea of Him as a him ceased making sense. Not only did this come with a budding realization of my paternalistic culture, but due to the simple question of why? If God was everything, everywhere, all knowing, then why would he be a man? There’s that question: If God is a man then God must have a penis, and if so, what for? * The Catholic Church incorporates some modern scientific research into its dogma concerning the formation of the Universe, Solar System, and Earth, as well as evolution. According to Catholic doctrine, in approximately the fifth millennia BCE, humans began to worship the one true God. Those humans were Adam and Eve, though the Church says humans had been around for thousands of years prior to Adam and Eve. The Church claims to be infallible. Every time the Church changes its doctrine it remains infallible. * One Catholic writer, Tom Meagher, writes that “Modernism[—]the idea that we come to our beliefs individually through emotional or personal experiences[—]has crept into our Catholic schools.” * Catholics believe that evil spirits, given power through Original Sin, can imbue ordinary inanimate objects of everyday use. Thus, such objects should be blessed in order to induce in them the desire to serve the good. Such objects are not limited to, but include, “new ships and boats, railways and trains, bridges, fountains, wells, cornmills, limekilns, smelting furnaces, telegrams, steam engines, and machines for providing electricity.” * In The Sound of Music Julie Andrews and Christopher Plummer sing together: “Nothing comes from nothing, nothing ever could...” * To explain competing theories on the very early universe, and pre-verse would be another book. What was the inflaton? Did (mem)branes collide, initiating the Big Bang, as opposed to Lemaître’s primordial atom, a singularity? Without a unified theory there’s gravity hanging out there, fucking everything up. We cannot make sense of the mechanics of the Planck Epoch—0-10-34 seconds into the Universe’s creation—named for Max Planck, who stumbled into the discovery of quantum mechanics in the early twentieth century. * My students often ask if I believe in God, since I espouse evolution, the Big Bang, Science, reject a strictly biblical or creationist theory of the Universe. I tell them that yes, I believe in God, though not the God that they imagine one must believe in. * When questioned regarding the rumor that, before his death, founder of quantum mechanics Max Planck had converted to Catholicism, he replied that he did not believe “in a personal God, let alone a Christian God.” * Physicist and Catholic priest George Lemaître, who formulated the theory and wrote the 1946 book The Primeval Atom Hypothesis , was made a household name by then-detractor Fred Hoyle, who pejoratively referred to the idea as a “Big Bang.” * Suicide is a mortal sin. To end one’s own life one must have despair, which is to lose hope, which is to lose faith, and to disbelieve in God. * Archaeology has uncovered graffiti in all of California’s missions—Indian pictographs inscribed into the adobe, covered with layers of whitewash. Native deities and depictions of cultural practices show that tribespeople never fully gave up their native traditions even after baptism and coming to the missions. There was something inside Native Californians that would never die. (shrink)

This thesis is directed towards a philosophy of music by attention to conceptions and perceptions of space. I focus on melody and harmony, and do not emphasise rhythm, which, as far as I can tell, concerns time rather than space. I seek a metaphysical account of Western Classical music in the diatonic tradition. More specifically, my interest is in wordless, untitled music, often called 'absolute' music. My aim is to elucidate a spatial approach to the world combined with a curiosity (...) about the nature of the Pythagorean intervals. Thus one question I seek to answer is: What do the Pythagorean intervals import to music? In their original formulation by Pythagoras, and further, by Plato, their import seemed mystical and analogous to a 'harmony of the spheres.' In this spatial approach, the Pythagorean intervals are indicative of infinite depth. The faculty of hearing alone does not ordinarily spatially locate sources. Hearing is ordinarily combined with sight in order to spatially locate a sound. Yet we talk about music as if it were spatially located, that is, as if it were a visible object with a surface and themes or 'objects'. I explore the faculty of vision and consider in what ways the processes of vision might be similar to and distinct from audition. My source for this approach is David Marr's book 'Vision' and his theory of the 2 1/2-dimensional sketch. In a medium in which there is no spatial location, it is important to situate the listener. Newton solved the problem of location by demonstrating the effects of gravity. P. F. Strawson claims that an analogy of distance is required in hearing to situate the listener, that is, a sense of nearer to and further from a source or object that permits a perception of distance. I claim that in music, the key signature and the scalar relations of musical themes provide this analogy of distance. The works of Plato, Aristotle, Descartes, Leibniz, and Newton are studied for their accounts of motion, bodies, and space. From these metaphysicians can be gleaned elements of music that include form, motion, timbre, dynamics, and attraction. By incorporating motion, I aim to show that although we may not know the true nature of space, we can learn from hearing music that space is perceptible in other than three dimensions. (shrink)

Not only the vertical direction of images – perceptually subject to the law of gravity and its consequences – plays an important role in their interpretation; the horizontal direction left-right too seems to foster different interpretations from its converse. For this reason there are subjects and genres of painting, such as the Annunciation or the portrait, revealing some constants from this point of view, in their representation conventions. And for this same reason there are languages​​, like comics, (...) where the left-right direction is critical not only for the succession of panels – clearly bound to the direction of verbal writing – but also for the panel’s internal organization. These reflections suggest a cultural explanation of the differences in horizontal organization in pictures, linking it to the habits of writing, while ruling out the explanations making reference to the physiology of brain. (shrink)

visually or directly by hand 3,3•4, and the `weighing' of half-inch "The apparent weight of colours . Pictures are often said to circles of coloured paper at either end of a simulated balance have a centre of gravity, perhaps determined by the way the..

This concise book introduces nonphysicists to the core philosophical issues surrounding the nature and structure of space and time, and is also an ideal resource for physicists interested in the conceptual foundations of space-time theory. Tim Maudlin's broad historical overview examines Aristotelian and Newtonian accounts of space and time, and traces how Galileo's conceptions of relativity and space-time led to Einstein's special and general theories of relativity. Maudlin explains special relativity using a geometrical approach, emphasizing intrinsic space-time structure rather than (...) coordinate systems or reference frames. He gives readers enough detail about special relativity to solve concrete physical problems while presenting general relativity in a more qualitative way, with an informative discussion of the geometrization of gravity, the bending of light, and black holes. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more.Introduces nonphysicists to the philosophical foundations of space-time theory Provides a broad historical overview, from Aristotle to Einstein Explains special relativity geometrically, emphasizing the intrinsic structure of space-time Covers the Twins Paradox, Galilean relativity, time travel, and more Requires only basic algebra and no formal knowledge of physics. (shrink)

I present in detail the case for regarding black hole thermodynamics as having a statistical-mechanical explanation in exact parallel with the statistical-mechanical explanation believed to underly the thermodynamics of other systems. I focus on three lines of argument: zero-loop and one-loop calculations in quantum general relativity understood as a quantum field theory, using the path-integral formalism; calculations in string theory of the leading-order terms, higher-derivative corrections, and quantum corrections, in the black hole entropy formula for extremal and near-extremal black holes; (...) recovery of the qualitative and quantitative structure of black hole statistical mechanics via the AdS/CFT correspondence. In each case I briefly review the content of, and arguments for, the form of quantum gravity being used at a introductory level: the paper is aimed at students and non-specialists and does not presume advanced knowledge of quantum gravity.. My conclusion is that the evidence for black hole statistical mechanics is as solid as we could reasonably expect it to be in the absence of a directly-empirically-verified theory of quantum gravity. (shrink)

The dominance of string theory in the research landscape of quantum gravity physics (despite any direct experimental evidence) can, I think, be justified in a variety of ways. Here I focus on an argument from mathematical fertility, broadly similar to Hilary Putnam’s ‘no miracles argument’ that, I argue, many string theorists in fact espouse in some form or other. String theory has generated many surprising, useful, and well-confirmed mathematical ‘predictions’—here I focus on mirror symmetry and the mirror theorem. These (...) predictions were made on the basis of general physical principles entering into string theory. The success of the mathematical predictions are then seen as evidence for the framework that generated them. I shall attempt to defend this argument, but there are nonetheless some serious objections to be faced. These objections can only be evaded at a considerably high (philosophical) price. (shrink)

Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which we have explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work (...) from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law of gravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty, clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at the University of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties of fluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London, the National Medal of Science in the United States, and the Copley Medal from the Royal Society. His many publications include Radiative transfer, Hydrodynamic and hydromagnetic stability, and The mathematical theory of black holes, each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profound admiration for a scientist whose work he believed is unsurpassed, and unsurpassable. (shrink)

Information theory presupposes the notion of an epistemic agent, such as a scientist or an idealized human. Despite that, information theory is increasingly invoked by physicists concerned with fundamental physics, physics at very high energies, or generally with the physics of situations in which even idealized epistemic agents cannot exist. In this paper, I shall try to determine the extent to which the application of information theory in those contexts is legitimate. I will illustrate my considerations using the case of (...) black hole thermodynamics and Bekenstein's celebrated argument for his formula for the entropy of black holes. This example is particularly pertinent to the theme of the present collection because it is widely accepted as `empirical data' in notoriously empirically deprived quantum gravity, even though the laws of black hole thermodynamics have so far evaded direct empirical confirmation. (shrink)

Newton’s impact on Enlightenment natural philosophy has been studied at great length, in its experimental, methodological and ideological ramifications. One aspect that has received fairly little attention is the role Newtonian “analogies” played in the formulation of new conceptual schemes in physiology, medicine, and life science as a whole. So-called ‘medical Newtonians’ like Pitcairne and Keill have been studied; but they were engaged in a more literal project of directly transposing, or seeking to transpose, Newtonian laws into quantitative models of (...) the body. I am interested here in something different: neither the metaphysical reading of Newton, nor direct empirical transpositions, but rather, a more heuristic, empiricist construction of Newtonian analogies. Figures such as Haller, Barthez, and Blumenbach constructed analogies between the method of celestial mechanics and the method of physiology. In celestial mechanics, they held, an unknown entity such as gravity is posited and used to mathematically link sets of determinate physical phenomena (e.g., the phases of the moon and tides). This process allows one to remain agnostic about the ontological status of the unknown entity, as long as the two linked sets of phenomena are represented adequately. Haller et. al. held that the Newtonian physician and physiologist can similarly posit an unknown called ‘life’ and use it to link various other phenomena, from digestion to sensation and the functioning of the glands. These phenomena consequently appear as interconnected, goal-oriented processes which do not exist either in an inanimate mechanism or in a corpse. In keeping with the empiricist roots of the analogy, however, no ontological claims are made about the nature of this vital principle, and no attempts are made to directly causally connect such a principle and observable phenomena. The role of the “Newtonian analogy” thus brings together diverse schools of thought, and cuts across a surprising variety of programs, models and practices in natural philosophy. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Transgressing the Boundaries: An Afterword*Alan D. SokalAlas, the truth is out: my article, “Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity,” which appeared in the spring/summer 1996 issue of the cultural-studies journal Social Text, is a parody. 1 Clearly I owe the editors and readers of Social Text, as well as the wider intellectual community, a non-parodic explanation of my motives and my true views. One (...) of my goals here is to make a small contribution toward a dialogue on the Left between humanists and natural scientists—“two cultures” which, contrary to some optimistic pronouncements (mostly by the former group), are probably farther apart in mentality than at any time in the past fifty years.Like the genre it is meant to satirize—myriad exemplars of which can be found in its reference list—my article is a mélange of truths, half-truths, quarter-truths, falsehoods, non sequiturs, and syntactically correct sentences that have no meaning whatsoever. (Sadly, there are only a handful of the latter: I tried hard to produce them, but I found that, save for rare bursts of inspiration, I just didn’t have the knack.) I also employed some other strategies that are well-established (albeit sometimes inadvertently) in the genre: appeals to authority in lieu of logic; speculative theories passed off as established science; strained and even absurd analogies; rhetoric that sounds good but whose meaning is [End Page 338] ambiguous; and confusion between the technical and everyday senses of English words (for example: linear, nonlinear, local, global, multidimensional, relative, frame of reference, field, anomaly, chaos, catastrophe, logic, irrational, imaginary, complex, real, equality, choice).I should emphasize that all works cited in my article are real, and all quotations are rigorously accurate; none are invented. Indeed, the most hilarious passages in my article were not written by me: they are direct quotes from the Masters.But why did I do it? I confess that I’m an unabashed Old Leftist who never quite understood how deconstruction was supposed to help the working class. And I’m a stodgy old scientist who believes, naively, that there exists an external world, that there exist objective truths about that world, and that my job is to discover some of them. (If science were merely a negotiation of social conventions about what is agreed to be “true,” why would I bother devoting a large fraction of my all-too-short life to it? I don’t aspire to be the Emily Post of quantum field theory.)But my main concern isn’t to defend science from the barbarian hordes of lit crit. Rather, my concern is explicitly political: to combat a currently fashionable postmodernist/poststructuralist/social-constructivist discourse—and more generally a penchant for subjectivism—which is, I believe, inimical to the values and future of the Left. 2 Alan Ryan said it well:It is, for instance, pretty suicidal for embattled minorities to embrace Michel Foucault, let alone Jacques Derrida. The minority view was always that power could be undermined by truth.... Once you read Foucault as saying that truth is simply an effect of power, you’ve had it.... But American departments of literature, history and sociology contain large numbers of self-described leftists who have confused radical doubts about objectivity with political radicalism, and are in a mess. 3Likewise, Eric Hobsbawm has decriedthe rise of “postmodernist” intellectual fashions in Western universities, particularly in departments of literature and anthropology, which imply that all “facts” claiming objective existence are simply intellectual constructions. In short, that there is no clear difference between fact and fiction. But there is, and for historians, even for the most militantly antipositivist ones among us, the ability to distinguish between the two is absolutely fundamental. 4 [End Page 339](Hobsbawm goes on to show how rigorous historical scholarship can refute the fictions propounded by reactionary nationalists in India, Israel, the Balkans and elsewhere.) And as the acerbic sociologist Stanislav Andreski noted long ago,So long as authority inspires awe, confusion and absurdity enhance conservative tendencies in society. Firstly, because clear and logical thinking leads to a cumulation of knowledge (of which the progress of... (shrink)

Two definitions of Mach’s principle are proposed. Both are related to gauge theory, are universal in scope and amount to formulations of causality that take into account the relational nature of position, time, and size. One of them leads directly to general relativity and may have relevance to the problem of creating a quantum theory of gravity.

Does communicative retributivism necessarily negate capital punishment? My answer is no. I argue that there is a place, though a very limited and unsettled one, for capital punishment within the theoretical vision of communicative retributivism. The death penalty, when reserved for extravagantly evil murderers for the most heinous crimes, is justifiable by communicative retributive ideals. I argue that punishment as censure is a response to the preceding message sent by the offender through his criminal act. The gravity of punishment (...) should be commensurate to the preceding criminal message, so that the offender can face up to the nature and significance of his crime. All murders are not the same. To measure up to the most evil and humanity-degrading murderous message, capital punishment should be the counter-message. Next, I argue that capital punishment does not necessarily violate human dignity. The death penalty and torture may both disrupt human dignity, yet in distinct ways. The death penalty terminates life, the vessel that holds together autonomy, while torture directly assaults autonomy. Torture is never permissible as a form of punishment. But death penalty, when used only on the extravagant evildoers, is justifiable, as life is thoroughly degraded by his own evil act. Further, I argue that mercy is integral to communicative retributivists’ theory of capital punishment. (shrink)