We investigate the novel problem of what happens in special relativity and in relativistic field theories whenthree-dimensional space is quantized. First we examine the equation for elastic waves on a linear chain, the simplest example of a quantized medium, and propose, on its analogy, a nonlinearp-k relationp=ħk(sinhkl)/kl for light and material waves. Here,kl is a new variable which represents the space-quantization effect on the plane wave of wave numberk=|k|. (Note thatkl=0 givesp=ħk.) This relation makes the light velocity (...) in vacuum dependent onkl. We postulate, however, that the phase and group velocities of each individual light wave are still invariant, and try to generalize special relativity to the case ofkl ≠ 0. This can be simply done if the invariance ofkl is assumed. Our results suggest that “localization” might be a relative concept. One interesting consequence of our proposal is that relativistic field theories become automatically finite. This comes out without violating unitarity or causality. A precise measurement of velocities of high-energy photons or massive particles is desirable for checking our proposal. (shrink)

In modern physics, the constant “c” plays a twofold role. On the one hand, “c” is the well known velocity of light in an empty Minkowskian space–time, on the other hand “c” is a characteristic number of Special Relativity that governs the Lorentz transformation and its consequences for the measurements of space–time intervals. We ask for the interrelations between these two, at first sight different meanings of “c”. The conjecture that the value of “c” has any influence (...) on the structure of space–time is based on the operational interpretation of Special Relativity, which uses light rays for measurements of space–time intervals. We do not follow this way of reasoning but replace it by a more realistic approach that allows to show that the structure of the Minkowskian space–time can be reconstructed already on the basis of a restricted classical ontology, and that without any reference to the propagation of light. However, the space–time obtained in this way contains still an unknown constant. We show that this constant agrees numerically with “c” but that it must conceptually clearly be distinguished from the velocity of light. Hence, we argue for a clear distinction between the two faces of “c” and for a dualism of space–time and matter. (shrink)

In this work we study the relativistic mechanics of continuous media on a fundamental level using a manifestly covariant proper time procedure. We formulate equations of motion and continuity (and constitutive equations) that are the starting point for any calculations regarding continuous media. In the force free limit, the standard relativistic equations are regained, so that these equations can be regarded as a generalization of the standard procedure. In the case of an inviscid fluid we derive an analogue of the (...) Bernoulli equation. For irrotational flow we prove that the velocity field can be derived from a potential. If in addition, the fluid is incompressible, the potential must obey the d'Alembert equation, and thus the problem is reduced to solving the d'Alembert equation with specific boundary conditions (in both space and time). The solutions indicate the existence of light velocity sound waves in an incompressible fluid (a result known in previous literature (19) ). Relaxing the constraints and allowing the fluid to become linearly compressible one can derive a wave equation, from which the sound velocity can again be computed. For a stationary background flow, it has been demonstrated that the sound velocity attains its correct values for the incompressible and nonrelativistic limits. Finally viscosity is introduced, bulk and shear viscosity constants are defined, and we formulate equations for the motion of a viscous fluid. (shrink)

Once Zheng Xuan, a man of Han dynasty, made notations of “Yiwei”, he said: “The word ‘change’ contains three meanings: the first is simplifying, the second is transformation, and the third is unchanging ”, thus called to “three changes”. The wording “three changes” is able to be the different explanations of “Zhouyi”, and also can be understand to three meanings of the word “change” in “Zhouyi”. Everywhere in the nature, and in nature science, there are incalculable examples about “three changes”. (...) The process of “simplifying”, it is that nature science obtains the principles by means of summing up the multitudinous complex spontaneous phenomena. There is “the fundamental of thinking economy”, and “Aucum razor” in the west, then they emphasize to wipe off the miscellaneous and keep up the simple, and to eliminate the false and retain the true. Therefore, it can say where there is no “simplifying”, there is no nature science. “Transformation” means movement and change. This is the essentiality of the nature. From the biggest such as the universe to the smallest such as cells, all these are the outcomes of evolution, and are changing continueously. Physics researching from static objects to dynamic objects, and mathematics calculation from the constant to the variable, all of these studies are closing up to the essentiality of the natural “transformation” nearer and nearer. If there is no “transformation”, nature science world stop, and the nature world be deathly stillness. “Unchanging” means that the static state exists in the dynamic state, and the constant exists in the variation. The various theorems and laws, such as the theorem of constant of light velocity and the law of conservation of energy, are the summation and accumulation of the regularities of which the relative stabilization is kept in changeable movement. Various kinds of equation are all linked by equal-sign, and based on the condition recognizing which the two sides is equal constantly. Therefore the calculation of the relations between matter characteristics can be set up. Otherwise, not only the nature world be disorder and unsystematic, but also the science world have no laws to go by. (shrink)

The concept of rigid reference frame and of constricted spatial metric, given in the previous work [Class. Quantum Grav. 21, 3067 (2004)] are here applied to some specific space-times: in particular, the rigid rotating disc with constant angular velocity in Minkowski space-time is analyzed, a new approach to the Ehrenfest paradox is given as well as a new explanation of the Sagnac effect. Finally the anisotropy of the speed of light and its measurable consequences in a reference (...) frame co-moving with the Earth are discussed. (shrink)

The experimental situation proposed by Fisk consists of a light source in a system S which sends a signal to two observers, one located at a distance x1 from the source and at rest in S, and the other moving away from the source at a speed v, in such a manner that its position coincides with the point x1 when the light signal reaches x1. The moving observer's coordinate system may be designated as S'. Further, it is (...) assumed that there is a half-silvered mirror associated with the moving observer, and that the light signal reaches the mirror so that part of the signal is received by the S' observer and part is received by the stationary S observer; each observer considers the light to reach him when he is at point x1. (shrink)

Usually the Lorentz transformations are derived from the conservation of the spacetime interval. We propose here a way of obtaining spacetime transformations between two inertial frames directly from symmetry, the isotropy of the space and principle of relativity. The transformation is uniquely defined except for a constant e, that depends only on the process of synchronization of clocks inside each system. Relativistic velocity addition is obtained, and it is shown that the set of velocities is a bounded symmetric (...) domain. If e=0, Galilean transformations are obtained. If e>0, the speed 1/√e and a spacetime interval are conserved. By assuming constancy of the speed of light, we get e=1/c 2 and the transformation between the frames becomes the Lorentz transformation. If e<0, a proper speed and a Hilbertian norm are conserved. (shrink)

Transposons are well‐known architects of genetic change but their role in insecticide resistance has, until recently, only been speculated upon.1 Transposon insertion, or transposon‐mediated transposition, could alter either metabolic enzymes capable of degrading pesticides or could change the functionality of insecticide targets. The recent work of Aminetzach and coworkers2 suggests an exciting alternative, that transposon insertion can cause resistance by altering gene product function. This hypothesis is discussed in the light of other examples in which transposons have been implicated (...) in insecticide resistance. BioEssays 28:6–8, 2006. © 2005 Wiley Periodicals, Inc. (shrink)

Drewermann himself typifies his whole literary theological activity as a therapy. Therefore, we may consider his therapeutic concern as the structural principle of this synthetic survey of his fundamental ideas. Therapy means deliverance from an evil situation. Throughout Drewermann’s oeuvre this evil situation is being approached from a double standpoint. Now it is described as anxiety , then again as psychic imperfection of man who suppresses essential elements of his inner life in the unconscious. This two perspectives are at the (...) origin of two distinctive trains of thought which run like a seam trough Drewermann’s oeuvre. Either develops its own logic which leads to divergent standpoint with regard to religious fundamental convictions which do not lend themselves to one synthesis. The vision on God as deliverer from anxiety maintains the fundamental ideas of traditional Christian theology like the belief in a transcendent personal God and in the unique role of Christ in the mystery of salvation. Typical of this vision is also the pessimistic outlook on man’s natural existence as they are made explicit in the myths of the Jahwistic primitive history. Mythology is to be surpassed by theology. In contrast, archetypal hermeneutics are in the service of man’s perfection, and have totally different, even opposite, theological implication with regard to the essence of man and his relationship with God. Obviously, hermeneutics are based on an optimistic view of man’s natural existence as it is made explicit in the archetypes. At the same time this perspective calls God’s transcendence into question. We find many statements that point to a coincidence of ‘Gottfindung’ and 'Selbstfindung’, Christ’s unique role in the mystery of salvation according to traditional theology runs the risk to get lost. Christ is reduced to one of the many possible phenomena of a generally human retigion which comes to light in the archetypes. Confronted with these fundamental problems, Drewermann claims that Bible reading in the line of depth psychology must be surpassed by theological explanation. The concomitant emphasis on shortcomings, even aberrations which the interpretation of depth psychology exposes leads Drewermann’s line of thought into insoluble aporia. In the healing process as a coming to perfection of fragmented man, the archetypes are considered as components of a human psyche , good as such, which have to be integrated with conscious life. In man’s striving for deliverance from existential anxiety , the myths and archetypes are seen as a description of an inherently disastrous human existence labouring under anxiety. Thus, the interpretation of Drewermann’s theology is faced with an apparently insoluble contradiction: on the one hand, the archetypal dream of mankind is the ‘language of God’; on the other, Drewermann takes the ‘overcoming of the myths’ the starting point of his theology. What comes to light about the relationship between God and man in both the interpretations in depth psychology and in theology runs not not only directly parallel, but the theological interpretation gives a verdict on the ‘archetypal hermeneutics’ which Drewermann’s new contribution to theology wants to be and to which the bulk of his oeuvre is devoted. (shrink)

Heloise and the Paraclete. This chapter considers Abelard’s decision to entrust his foundation of the Paraclete to Heloise and his writing of the Historia calamitatum in 1132–33, as well as Heloise’s reaction to this autobiographical narrative. It examines the impact of Heloise’s arguments about their past relationship and about the religious life for women on Abelard’s writings for the Paraclete. It also considers Abelard’s poetic laments in the light of Heloise’s interest in the human side of the Bible.

The special theory of relativity is based on two postulates: (I) All inertial frames are equivalent for the performance of physical experiments; and (II) the velocity of light is a universal constant. It is shown that if postulate I is true, then postulate II is not true, and if postulate II is true, then postulate I is not true. Further, it is shown that the only possible velocity consistent with postulate I follows the rule that the (...) velocity of light with respect to the observer is equal to the velocity of light with respect to the source plus the velocity of the source with respect to the observer. (shrink)

If objective physics is dependent on observer properties as Einstein showed, physical reality becomes an ‘interface reality'. Einstein's principle of observer-relativity is extended to micro motions in the observer. The resulting ‘micro relativity’ can be studied using model universes. In a classical billiard universe, the interface is characterized by ‘micro time reversals'. These time reversals cannot be ‘edited out'. They perturb every small-mass object to be observed. And they perturb every fast-moving object to be observed. The implied ‘action noise’ and (...) a ‘velocity limit', respectively, are reminiscent of Planck's constant and the speed of light , in the real world. To check whether there exists a connection with the real world, the observer temperature can be inserted into the two fundamental constants h and c. This leads to a specific value for the ‘observer diameter’ . Search for a cell class clustered around this size in the brain would amount to a ‘Privacy-of-Physics test'. Four such ‘PoP tests’ can be indicated so far. The idea that certain relational properties of the world may be as observer-private as consciousness, is therefore falsifiable. (shrink)

1.1. The two postulates of special relativity and the tension between them. When Einstein first presented what came to be known as special relativity, he based the theory on two postulates or principles, called the “relativity postulate” or “relativity principle” and the “light postulate.” Both postulates are supported by a wealth of experimental evidence. The combination of the two, however, appears to lead to contradictions. To avoid such contradictions, Einstein argued, we need to change some of our fundamental ideas (...) about space and time. Einstein formulated the relativity postulate as follows: “The same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good” (Einstein 1905r, 891). Such frames of reference are called inertial frames and an observer at rest in one of them is called an inertial observer. A few examples will suffice to understand both the concept of an inertial frame and the meaning of the relativity postulate. First consider a plane which starts out sitting on the tarmac, proceeds to fly through clear skies, and eventually hits turbulence. All the while a passenger is nursing a cup of coffee. Sipping coffee without spilling is easy during the smooth portion of the flight. This is because the laws governing the behavior of the coffee in the frame of reference of the plane flying at constant velocity are the same as in the frame of reference of the airport.1 In fact, these same laws hold in any frame moving uniformly (i.e., with constant velocity) with respect to the frame of the airport. Drinking coffee without spilling when the plane ride gets bumpy is much harder. The laws for the coffee in noninertial frames, such as the frame of a plane encountering turbulence, are more complicated than in inertial frames. As a second example consider a cruise ship that sets out from its port of origin, sails smoothly on a calm sea, and eventually is caught in a storm. All the while two passengers engage in a drawn-out tennis match on the ship’s upper deck.. (shrink)

The objective of this article is to provide a formalism to deal with the special theory of relativity (STR, in short) as riewed by Reichenbach, according to which STR involves an ineradicableconventionality of simultaneity. One of the two postulates of STR asserts that, in empty space, the one-way speed of light relative to inertial frames is constant. Experimental evidence, however, is related to the constancy of the round-trip speed of light and has no bearing on one-way speeds. (...) Following Reichenbach's viewpoint, we relax the second postulate of STR, abandoning the constancy of the one-way speed of light to the more realistic one asserting the constancy of the round-trip speed of light. This, in turn, results in a formalism to deal with Reichenbach's special theory of relativity (RSTR, in short) in which the two one-way speeds of light in empty space, C±, in the two senses of a round-trip are arbitrarily selected in such a way that their harmonic mean is the measurable round-trip speed of light, c. Experimentally, RSTR and STR are indistinguishable and, hence, represent the same physical theory. It is only the formalism that we use to deal with STR which is extended in RSTR to accommodate the immeasurability of one-way velocities. The usefulness of the proposed formalism to study special relativity is demonstrated. (shrink)

Newtonian physics is based on Newtonian calculus applied to Newtonian dynamics. New paradigms such as ‘modified Newtonian dynamics’ change the dynamics, but do not alter the calculus. However, calculus is dependent on arithmetic, that is the ways we add and multiply numbers. For example, in special relativity we add and subtract velocities by means of addition β1⊕β2=tanh+tanh-1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _1\oplus \beta _2=\tanh \big +\tanh ^{-1}\big )$$\end{document}, although multiplication β1⊙β2=tanh·tanh-1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} (...) \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _1\odot \beta _2=\tanh \big \cdot \tanh ^{-1}\big )$$\end{document}, and division β1⊘β2=tanh/tanh-1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _1\oslash \beta _2=\tanh \big /\tanh ^{-1}\big )$$\end{document} do not seem to appear in the literature. The map fX=tanh-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_{\mathbb{X}}=\tanh ^{-1}$$\end{document} defines an isomorphism of the arithmetic in X=\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}=$$\end{document} with the standard one in R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}}$$\end{document}. The new arithmetic is projective and non-Diophantine in the sense of Burgin, 1977), while ultrarelativistic velocities are super-large in the sense of Kolmogorov, 1961). Velocity of light plays a role of non-Diophantine infinity. The new arithmetic allows us to define the corresponding derivative and integral, and thus a new calculus which is non-Newtonian in the sense of Grossman and Katz. Treating the above example as a paradigm, we ask what can be said about the set X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{X}}$$\end{document} of ‘real numbers’, and the isomorphism fX:X→R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_{{\mathbb{X}}}:{\mathbb{X}}\rightarrow {\mathbb{R}}$$\end{document}, if we assume the standard form of Newtonian mechanics and general relativity but demand agreement with astrophysical observations. It turns out that the observable accelerated expansion of the Universe can be reconstructed with zero cosmological constant if fX≈0.8sinh/\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f_{\mathbb{X}}\approx 0.8\sinh /$$\end{document}. The resulting non-Newtonian model is exactly equivalent to the standard Newtonian one with ΩΛ=0.7\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega _\Lambda =0.7$$\end{document}, ΩM=0.3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega _M=0.3$$\end{document}. Asymptotically flat rotation curves are obtained if ‘zero’, the neutral element 0X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0_{{\mathbb{X}}}$$\end{document} of addition, is nonzero from the point of view of the standard arithmetic of R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}}$$\end{document}. This implies fX-1=0X>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f^{-1}_{{\mathbb{X}}}=0_{{\mathbb{X}}}>0$$\end{document}. The opposition Diophantine versus non-Diophantine, or Newtonian versus non-Newtonian, is an arithmetic analogue of Euclidean versus non-Euclidean in geometry. We do not yet know if the proposed generalization ultimately removes any need of dark matter, but it will certainly change estimates of its parameters. Physics of the dark universe seems to be both geometry and arithmetic. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Hispanic Philosophy in the Age of Discovery ed. by Kevin WhiteIván JaksicKevin White, editor. Hispanic Philosophy in the Age of Discovery. Washington, DC: Catholic University of America Press, 1997. Pp. xv + 326. Cloth, $59.95.The quincentennial of what has been termed the “encounter” between Europeans and Indians in the New World in the late fifteenth century furnished the occasion for much denunciation of the evils inflicted by greedy (...) intruders on the indigenous population and their environment. Many a conference was convened to reflect on such [End Page 463] events from the perspective of what appeared to be a consensus on the ultimately negative effects of European discovery, conquest, and colonization. In this context, it is quite remarkable that a conference on Hispanic philosophy in the age of discovery should have been convened to examine the philosophical figures and treatises of the era. As it turns out, this volume represents probably one of the most enduring outcomes of the myriad activities of 1992. This is a volume that ranges widely into the philosophical world of the period, brings to light the richness and significance of philosophers and their work, and provides a coherent and consistently well-researched set of essays.The volume consists of fifteen essays divided into five parts. Part I consists of one essay by Jorge J. E. Gracia which offers a wide panorama of Hispanic philosophy from 1500 to 1650, as well as a lucid interpretation of the historical reasons why Hispanic philosophy seems to have reached a dead end in the context of modern European philosophy, and suffered the neglect of intervening centuries. Part II consists of one essay by Mauricio Beuchot on discussions concerning the conquest of Mexico; two essays by John Doyle and Marcelo Sánchez-Sorondo on the work of Francisco de Vitoria; and two essays on the celebrated dispute between Juan Ginés de Sepúlveda and Bartolomé de las Casas in 1550–51, the first by Eduardo Andújar and the second by Rafael Alvira and Alfredo Cruz. Part III includes essays by William Wallace on Domingo de Soto and Galileo’s science; Juan Antonio Widow on the economic thought of the Spanish Scholastics; Jean de Groot on the mysticism of Teresa de Avila; Yves Floucat on St. John of the Cross, and Mirko Skarica on the problem of future contingents. Part IV includes three essays by Norman Wells, Stephen Menn, and Carlos G. Noreña on the works of Francisco Suárez, probably the best-known Spanish thinker of the period. The volume closes with Part V, which has a long essay by John Deely on John Poinsot’s doctrine of signs.A volume of this scope and nature is bound to contain some overlap and repetition, as is the case with the pieces concerning the Las Casas-Sepúlveda debate. And yet these essays read well because the authors seriously undermine the conventional treatment of Sepúlveda as the hawkish defender of Indian slavery, and place him in the context of a larger Renaissance view of non-European peoples. Las Casas, in the view of the authors, had a great deal more in common with his opponent than the historiography has thus far suggested. In other sections of the volume, the variety of approaches and subjects on the part of the contributors challenges the reader to constantly shift grounds. Part III, for instance, takes us from the disquisitions on the velocity of falling bodies to the moral aspects of economic thought, and to the meaning of mystical theology. Fortunately, the competence of the researchers makes all individual pieces worthwhile even if this particular reviewer would have been somewhat more stringent with the space allotted to make a point.Contributors to this book leave no doubt as to the importance of their subjects, and yet they resist the temptation of exaggerating the extent of the influence of many of the Spanish authors on other European thinkers. Indeed, the essay by Norman Wells shows that while one must consider the linkages between Suárez and Descartes, there is [End Page 464] no reason to believe that the latter made Suárez’s position on the moderni... (shrink)

T. C. Boyle’s A Friend of the Earth (2001), tells the story of Tyrone Tierwater, a one time monkeywrencher and environmental avenger for “E. F.!” (Earth Forever!) who we first meet in 2025 in his mid-seventies. Tierwater is now working for a character based on Michael Jackson, who in his semi-retirement has employed the elder eco-warrior to help save some of the last remnants of a few dying species – warthogs, peccaries, hyenas, jackals, lions and what is likely the last (...) Patagoninan fox. The not too distant environmental future painted by Boyle is a disaster. Global warming has finally caught up to us with a vengeance and even the secure shores of the U.S. are wracked by unmitigated cycles of flooding and drought seriously degrading most semblances of life as we know it. To be sure, though, people, and some versions of progress, go on. While most affordable food and drink is limited to some combination of catfish and sake (very little else having survived decades of disastrous weather and a series of crop blights), and there are constant threats of new strains of life-threatening and highly contagious diseases, suburban development continues and new humans come into existence with the promise, at least in the developed world, of longer life spans. But Boyle does not give us anything like the overly optimistic views expressed by some conservative columnists who dismiss the need for global climate treaties; this is not an environmental future that is only felt with difficulty in the underdeveloped south requiring simpler economic readjustments for Americans without a substantial shift in lifestyle. The world.. (shrink)

We propose a new picture of nature in which there are only two fundamental universal constantsè ē (≡e/c) andh(≡ħ/c). Our theory is developed within the framework of a new four-dimensional symmetry which is constructed on the basis of the Poincaré-Einstein principle of relativity for the laws of physics and the Newtonian concept of time. We obtain a new space-light transformation law, a velocity-addition law, and so on. In this symmetry scheme, the speed of light is constant (...) and is completely relative. The new theory is logically self-consistent, and it moreover is in agreement with all previously established experimental facts, such as the “lifetime dilatation” of unstable particles, the Michelson-Morley experiment, etc. There is a difference relative to the usual theory, though, in that our theory predicts a new law for the Dopplerfrequency shift, which can be tested experimentally by measuring the second-order frequency shift. (shrink)

The Lorentz transformation is derived without assuming that the velocity of light is a constant. This suggests that the constantc which appears in the transformation has a deeper significance than heretofore commonly assumed. It is hypothesized that there exists, in all of physical reality, velocities of only one magnitude. The magnitude isc, the speed of light in vacuum. This hypothesis forces us to view a fundamental particle as an extended object and matter in general as a (...) field ρ(t, r, θ), which we give the generic name “stuff.” An important feature of the ρ field is that at each spacetime point(t, r) stuff travels in all directions θ with speedc. In order to elucidate the nature of ρ(t, r, θ), the equations determining ρ for a one-dimensional world are derived and solved. Fundamental particles are shown to exist and their structure is obtained. (shrink)

Using Finsler brane solutions [see details and methods in: S. Vacaru, Class. Quant. Grav. 28:215001, 2011], we show that neutrinos may surpass the speed of light in vacuum which can be explained by trapping effects from gravity theories on eight dimensional (co) tangent bundles on Lorentzian manifolds to spacetimes in general and special relativity. In nonholonomic variables, the bulk gravity is described by Finsler modifications depending on velocity/momentum coordinates. Possible super-luminal phenomena are determined by the width of locally (...) anisotropic brane (spacetime) and induced by generating functions and integration functions and constants in coefficients of metrics and nonlinear connections. We conclude that Finsler brane gravity trapping mechanism may explain neutrino super-luminal effects and almost preserve the paradigm of Einstein relativity as the standard one for particle physics and gravity. (shrink)

The essays in this collection focus on Christine as a political writer and provide an important resource for those wishing to understand her political thought. They locate her political writing in the late medieval tradition, discussing her indebtedness to Aristotle, Aquinas and Augustine as well as her transformations of their thought. They also illuminate Christines political epistemology her understanding of political wisdom as a part of theology, the knowledge of God. New light is thrown on the circumstances which prompted (...) Christine to write on political issues and on her attitude to Isabeau of Bavaria. These essays show that Christines originality consisted in her capacity to modify and feminise the tradition of Christian Aristotelianism through the use of elements of Christian imagery, in particular Mariology, in order to construct an image of the virtuous and prudent monarch which had lost the explicitly manly and warlike character of the Aristotelian phronimos. (shrink)

Elementary particles are considered as local oscillators under the influence of zeropoint fields. Such oscillatory behavior of the particles leads to the deviations in their path of motion. The oscillations of the particle in general may be considered as complex rotations in complex vector space. The local particle harmonic oscillator is analyzed in the complex vector formalism considering the algebra of complex vectors. The particle spin is viewed as zeropoint angular momentum represented by a bivector. It has been shown that (...) the particle spin plays an important role in the kinematical intrinsic or local motion of the particle. From the complex vector formalism of harmonic oscillator, for the first time, a relation between mass $m$ and bivector spin $S$ has been derived in the form $\varvec{\sigma }_3 mc^2{\mathcal {J}}_{\pm } =\lambda \Omega _{\mathbf{s}} \cdot \mathrm{{S}} {\mathcal {J}}_{\pm }$ . Where, $\Omega _{s}$ is the angular velocity bivector of complex rotations, $c$ is the velocity of light. The unit vector $\varvec{\sigma }_3$ acts as an operator on the idempotents ${\mathcal {J}}_{+}$ and ${\mathcal {J}}_{-}$ to give the eigen values $\lambda =\pm 1.$ The constant $\lambda $ represents two fold nature of the equation corresponding to particle and antiparticle states. Further the above relation shows that the mass of the particle may be interpreted as a local spatial complex rotation in the rest frame. This gives an insight into the nature of fundamental particles. When a particle is observed from an arbitrary frame of reference, it has been shown that the spatial complex rotation dictates the relativistic particle motion. The mathematical structure of complex vectors in space and spacetime is developed. (shrink)

Under the assumption that Hubble's constant H0 is constant in cosmic time, there is an analogy between the equation of propagation of light and that of expansion of the universe. Using this analogy, and assuming that the laws of physics are the same at all cosmic times, a new special relativity, a cosmological relativity, is developed. As a result, a transformation is obtained that relates physical quantities at different cosmic times. In a one-dimensional motion, the new transformation (...) is given by $$x' = \frac{{x - Tv}}{{(1 - T^2 /T_0^2 )^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} }},v' = \frac{{v - xT/T_0^2 }}{{(1 - T^2 /T_0^2 )^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} }}$$ where x and v are the coordinate and velocity, T is the cosmic time measured backward with respect to our present time T=0, tand T0 is Hubble's time.Some consequences of this transformation are given, and its applicability limitation is pointed out. (shrink)

In connection with another article by the author, we show how it might be possible to travel faster than the speed of light. We show that for clocks and rods moving faster than the speed of light, we get instead of “time dilation” and “Lorentz contraction,” respectively, “time contraction” and “Lorentz expansion,” respectively. It is shown that this paper is in confirmation with earlier articles dealing with this subject.

The Classical Theory of function in the nervous system postulates that the nerve impulse is the result of a sequential reversal of the membrane potential due to an increased permeability of the membrane, first to sodium ions, then to potassium ions. The new theory presents a bio-physical model which depicts the nerve impulse as an event involving the motions of electrons and waves, and their interactions with sodium and potassium atoms and ions. The velocity of the nerve impulse (the (...) most important parameter of nerve function) is determined by the product of two constants: c = the speed of light, which is a constant for all nerves; k =a constant for each nerve and is believed to be a specific property of nerve matter related in some way to the atomic process. The theory proposes that the nerve impulse in the axon is dualistic in nature (particles and waves play equally significant roles). The dualistic nature accounts for the three most fundamental characteristics of conduction of the nerve impulse: periodicity (conduction of a nerve impulse over long distances with constant velocity and form); non-summing (two nerve impulses cannot be in the same place at the same time); quantum nature of each nerve impulse — i.e., the unit message of the nerve impulse is an indivisible unit. (shrink)

I suggest that classical General Relativity in four spacetime dimensions incorporates a Principal of Maximal Tension and give arguments to show that the value of the maximal tension is $\frac{{c^4 }}{{4G}}$ . The relation of this principle to other, possibly deeper, maximal principles is discussed, in particular the relation to the tension in string theory. In that case it leads to a purely classical relation between G and the classical string coupling constant α′ and the velocity of (...) class='Hi'>light c which does not involve Planck's constant. (shrink)

After discussing in the first five sections the meaning and the difficulties of the principle of relativity we present a new sel of spacetime transformations between inertial systems (“inertial” transformations), based on three assumptions: (1) The two-way velocity of light is c in all inertial systems and in all directions; (2) Time dilation effects take place with the usual relativistic factor; (3) Clocks are synchronized in the way chosen by nature itself, e.g., in the Sagnac effect. We show (...) that our new transformation laws can explain the available experimental evidence in spite of the implied noninvariance of the one-way velocity of light. (shrink)

It is shown that (a) both the dispersion relations between the mean frequency θ0 and the mean wave number k 0 are invariant under the Lorentz transformation; and (b) the relativistic Doppler effects on θ 0 and k 0 differ. In the suboptic packet there is anomalous red shift in the mean wave number k' 0 received from a source receding with speed v: k′ 0 changes sign through zero as v goes through the value vg, the mean group (...) class='Hi'>velocity in the packet. In the superoptic packet the anomalous red shift is in the mean frequency θ′ 0 which reverses sign through zero as v goes through the value vp, the mean phase velocity in the packet. This last finding indicates a blackout of the superoptic signal when propagated toward a receiver moving away from the source at a speed greater than vp. There is no violation of causality involved, and the final conclusion of the paper is that it is not a fundamental axiom of “special relativity,” as usually believed, to deny that information can be transmitted at speeds greater than c. (shrink)

Agedanken electromagnetic device is described which permits the transfer of information at speeds faster than light without violating the principle of causality.

The paper lists all the predictions and observations of eclipses of Jupiter's satellites 1668–1678 and compares them with modern computations of the these eclipses by J. H. Lieske. We discuss Roemer's method that led to his discovery of the retardment of light and finally we shall interpret Roemer's calculations.

We point out that the acceptance of the relativity principle together with the homogeneity and isotropy of space and the homogeneity of time inevitably leads to the Lorentz spacetime transformation with a universal limiting speed σ. Speculations on possible new four-dimensional symmetries involving a variable “speed of light” such as that proposed by Hsu must therefore be dismissed on such a basis alone. In this paper we draw attention to some logical inconsistencies in Hsu's attempt at establishing a new (...) space-light transformation law, and follow with a discussion on why such an attempt must necessarily fail. (shrink)

A superluminal signal velocity (i.e. faster than light) is said to violate causality. However, superluminal signal velocities have been measured in tunneling experiments recently. The classical dipole interaction approach by Sommerfeld and Brillouin results in a complex refractive index with a finite real part. For the tunneling process with its purely imaginary refractive index this model obtaines a zero-time traversing of tunneling barriers in agreement with wave meechanics. The information of a signal is proportional to the product of (...) its frequency band width and its time duration. The reasons that superluminal signal velocities do not violate causality are: (i) physical signals are frequency band limited and (ii) signals have a finite time duration. (shrink)

A number of physical processes and experimental procedures are listed which appear to be inexplicable in the context of the conventionality thesis of Reichenbach and Grünbaum. Distant synchrony can be produced by procedures based on the free displacement or rotation of elastic solids. Results are expected to agree with Einstein's definition of distant synchrony (by means of light signals, assuming isotropy). The one-way velocity of light can be measured using a rotating shaft, slotted disks, and one stationary (...) clock. (shrink)

A new theory of four-dimensional symmetry introduced by Hsu has been criticized as logically inconsistent. We answer the criticisms that have been raised and show that in fact this theory is not logically inconsistent.

A Michelson interferometer with a phase-conjugate mirror (PCM) is described and discussed. The behavior of phase conjugate mirrors is discussed and the result of an experiment with a Michelson interferometer with a phase-conjugate mirror is described and commented. This interferometer has been proposed to be used to test the intrinsic non-locality of quantum mechanics. In this paper a new experimental setup to study the one-way velocity of light is proposed, which uses this new interesting device.