The nature of time is yet to be fully grasped and finally agreed upon among physicists, philosophers, psychologists and scholars from various disciplines. Present paper takes clue from the known assumptions of time as - movement, change, becoming - and the nature of time will be thoroughly discussed. -/- The real and unreal existences of time will be pointed out and presented. The complex number notation of nature of time will be put forward. Natural scientific (...) systems and various cosmic processes will be identified as constructing physical form of time and the physical existence of time will be designed. -/- The finite and infinite forms of physical time and classical, quantum and cosmic times will be delineated and their mathematical constructions and loci will be narrated. -/- Thus the physics behind time-construction, time creation and time-measurement will be given. -/- Based on these developments the physics of Timelessness will be developed and presented. -/- . (shrink)

The appearance of nonlinear equations in science, engineering, economics, and medicine cannot be denied. Solving such equations requires numerical methods having higher-order convergence with cost-effectiveness, for the equations do not have exact solutions. In the pursuit of efficient numerical methods, an attempt is made to devise a modified strategy for approximating the solution of nonlinear models in either scalar or vector versions. Two numerical methods of second-and sixth-order convergence are carefully merged to obtain a hybrid multi-step numerical method (...) with twelfth-order convergence while using seven function evaluations per iteration, resulting in the efficiency index of about 1.4262. The convergence is also ascertained theoretically, and the asymptotic error constant is computed. Furthermore, various numerical methods of varying orders are used to compare the numerical results obtained with the proposed hybrid method in approximate solution, number of iterations, absolute error, absolute functional value, and the machine time measured in seconds. The obtained results outperformed the chosen methods when applied models arising from physical and natural fields were solved. Finally, to observe the convergence graphically, some complex polynomials are plotted as polynomiographs, wherein the rapid convergence of the proposed method is guaranteed. (shrink)

This paper deals with a number of technical achievements that are instrumental for a dis-solution of the so-called "Hole Argument" in general relativity. Such achievements include: 1) the analysis of the "Hole" phenomenology in strict connection with the Hamiltonian treatment of the initial value problem. The work is carried through in metric gravity for the class of Christoudoulou-Klainermann space-times, in which the temporal evolution is ruled by the "weak" ADM energy; 2) a re-interpretation of "active" diffeomorphisms as "passive and metric-dependent" (...) dynamical symmetries of Einstein's equations, a re-interpretation which enables to disclose their (up to now unknown) connection to gauge transformations on-shell; understanding such connection also enlightens the real content of the Hole Argument or, better, dis-solves it together with its alleged "indeterminism"; 3) the utilization of the Bergmann-Komar "intrinsic pseudo-coordinates", defined as suitable functionals of the Weyl curvature scalars, as tools for a peculiar gauge-fixing to the super-hamiltonian and super-momentum constraints; 4) the consequent construction of a "physical atlas" of 4-coordinate systems for the 4-dimensional "mathematical" manifold, in terms of the highly non-local degrees of freedom of the gravitational field (its four independent "Dirac observables"). Such construction embodies the "physical individuation" of the points of space-time as "point-events", independently of the presence of matter, and associates a "non-commutative structure" to each gauge fixing or four-dimensional coordinate system; 5) a clarification of the multiple definition given by Peter Bergmann of the concept of "(Bergmann) observable" in general relativity. This clarification leads to the proposal of a "main conjecture" asserting the existence of i) special Dirac's observables which are also Bergmann's observables, ii) gauge variables that are coordinate independent (namely they behave like the tetradic scalar fields of the Newman-Penrose formalism). A by-product of this achievements is the falsification of a recently advanced argument asserting the absence of (any kind of) "change" in the observable quantities of general relativity. 6) a clarification of the physical role of Dirac and gauge variables as their being related to "tidal-like" and "inertial-like" effects, respectively. This clarification is mainly due to the fact that, unlike the standard formulations of the equivalence principle, the Hamiltonian formalism allows to define notion of "force" in general relativity in a natural way; 7) a proposal showing how the physical individuation of point-events could in principle be implemented as an experimental setup and protocol leading to a "standard of space-time" more or less like atomic clocks define standards of time. We conclude that, besides being operationally essential for building measuring apparatuses for the gravitational field, the role of matter in the non-vacuum gravitational case is also that of "participating directly" in the individuation process, being involved in the determination of the Dirac observables. This circumstance leads naturally to a peculiar new kind of "structuralist" view of the general-relativistic concept of space-time, a view that embodies some elements of both the traditional "absolutist" and "relational" conceptions. In the end, space-time point-events maintain a "peculiar sort of objectivity". Some hints following from our approach for the quantum gravity programme are also given. (shrink)

The past six decades have seen rising interest in the philosophy of time, driven in large measure by the metaphysical implications of the physical theories of relativity and quantum mechanics. Philosophical theology has only recently begun serious interaction with contemporary metaphysics of time. In particular, the issue of God's temporal mode of being has come under investigation In Part 1, I begin with the metaphysics of time, explicating and defending a causal account of dynamic time. I (...) then consider objections that can be brought against this account from the standpoint of the Special and General Theories of Relativity and Quantum Mechanics, and conclude that one of the objections are compelling. In Part II, I consider the evidence from Scripture relative to God's temporal mode of being, and find that it is neutral between a temporal and an atemporal conception. The arguments upholding the medieval consensus in philosophical theology of divine timelessness are evaluated, along with contemporary arguments for atemporality. Openness to divine temporality is discernible in some medieval philosophers; their arguments, along with contemporary arguments for temporality, are investigated. I then offer an analysis of the concept of omnitemporality which I take to be the form of temporality most appropriate to expressing God's temporal mode of being. Finally I argue that objections to omnitemporality are not forceful, and that the concept has in its favor greater explanatory power for a range of issues in philosophical theology. (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)

We propose an adynamical, background independent approach to quantum gravity and unification whereby the fundamental elements of Nature are graphical units of space, time and sources. The transition amplitude for these elements of “spacetimesource” is computed using a path integral with discrete Gaussian graphical action. The unit of action for a spacetimesource element is constructed from a difference matrix K and source vector J on the graph, as in lattice gauge theory. K is constructed from graphical relations so (...) that it contains a non-trivial null space, and J is then restricted to the column space of K which ensures it is distributed in a divergence-free fashion over the spacetime defined by the element. This rule for the relational construct of K and J is our proposed fundamental axiom of physics and results in a self-consistency relationship between sources, the spacetime metric, and the stress-energy-momentum content of the element, rather than a dynamical law for time-evolved entities. In its most general form, the set of fundamental elements employed by lattice gauge theory contains scalar fields on nodes and links, and vector fields on nodes. To complete the fundamental set, we propose the addition of scalar fields on plaquettes and vector fields on links. We use this approach via modified Regge calculus to correct proper distance in the Einstein-deSitter cosmology model yielding a fit of the Union2 Compilation supernova data that matches ɅCDM without having to invoke accelerating expansion or dark energy. (shrink)

Many of the leading accounts of what makes a life meaningful are goal-based theories, according to which it is the pursuit of some specific goal (such as love for things that are worthy of love) that gives meaning to our lives. In this chapter I consider how these goal-based theories of meaning in life interact with the two main theories of the nature of time that have been defended in the recent metaphysics literature, namely, The Dynamic Theory of (...) class='Hi'>Time and The Static Theory of Time. I argue that The Dynamic Theory fits well with goal-based theories of meaning in life, but The Static Theory does not. Then I close with some thoughts about what a Static Theorist should make of this conclusion. (shrink)

If a person’s death is bad for him for the reason that he would have otherwise been intrinsically better off, as the Deprivation Approach says, does it not follow that his prenatal nonexistence is bad for him as well? Recently, it has been suggested that the “A-theory” of time can be used to support a negative answer to this question. In this paper, I raise some problems for this approach.

In The Langoliers, passengers on an airline flight wake to find that they’ve mysteriously travelled a few minutes back in time… a few minutes behind everyone else. They find that the world still exists, after ‘the present’ has moved on, but only for a short duration before the Langoliers—the timekeepers of eternity—arrive to remove it permanently from existence. This story prompts two interesting questions: How should we understand the nature of time in The Langoliers? Could the nature of (...) time in our world be the same as in The Langoliers? And, are the characters in The Langoliers really time travellers? In answering these questions, we can gain a greater understanding of the world depicted in The Langoliers, as well as of our own world. (shrink)

Article is devoted to the social legitimation of knowledge. We study the contexts of implantation of knowledge products into the body of culture. The author proceeds from the need to study the process of objectification symbolic of object by applying the category of ‘facies‘, the introduction and justification of which on content and formal level were realized by the author in previous works. Such issues as the following are discussed in the article: the main stages of objectification, cognitions, different worlds (...) in science in the trend of unfolding cognitions, the basic principles of object-symbolic interpretation of the nature of knowledge. The author explores these questions by analyzing the basic epistemological trends that can be seen in the works of the greatest philosophers of both modern and recent times, globalizing the principle of a system approach on the basis of its synthesis with the elements of synergetics and semiotics. The author devotes a great place to criticism of Kant’s transcendental apriorism, revealing, however, its positive potential and determining its promising vector beating literally in the essence of contemporary cognitive science. Author takes on orbit of its original methodology conclusions of not only natural sciences and mathematics, but also poetic insights that allows creating of pulsating and at the same time quite certain interdisciplinary context. The main conclusions regarding the content of prerequisites of cognitive synthesis included in the final paragraph of article and are accompanied by convincing examples of modern physics. (shrink)

Old and recent ideas concerning the nature of time are reviewed, starting from Mach's refusal of Newton's absolute time. Many experiments show that the slowing down of moving clocks is a real phenomenon. Such must then also be the so-called “twin paradox,” which owes its name to its evident incompatibility with the philosophy of relativism (not to be confused with the theory of relativity). The Lorentz reformulation of special relativity started by postulating physical effects of the ether, but (...) accepted Einstein's clock synchronization. Only because of this Lorentz could not understand the advantages of an easily deducible different theory. As stressed by Popper, one of the main problems of the usual approach is the introduction of a superdeterministic universe. Recent results obtained by the author show that a theory is possible, based on relative time but on absolute simultaneity, in which the conceptual difficulties of relativity are avoided. (shrink)

The vector product method developed in previous articles for space rotations and Lorentz transformations is extended to the cases of four-vectors, anti-symmetric tensors, and their transformations in Minkowski space. The electromagnetic fields are expressed in “six-vector” form using the notationH +iE, and this vector form is shown to be relativistically invariant. The wave equations of electromagnetism are derived using these vector products. The following three equations are deduced, which summarize electrodynamics in a compact form: (1) Maxwell's (...) four equations expressed as one, (2) the scalar and vector potential wave equations combined into one relation, and (3) the wave equations for the electric and magnetic fields and the continuity equation combined together. Space inversion, time reversal, and magnetic monopoles are also treated. (shrink)

This book is a synthesis of more than three decades of research into the concept of time and its semiotic nature. If traditional philosophy – and philosophy of time should be no exception – in the shadow of advancing biology can be said to have reached an impasse, one important reason for this, in harmony with Wittgenstein’s vision, appears to have been its lack of appropriate tools for explicating language. The present theory of time proceeds, accordingly, from (...) the exploration of temporal expressions in language as an evolutionary fact. It derives in a hypothetical, coherent feedback process of hierarchically ordered distinctions the semantics of time from its biologically dictated perceptual and cognitive-pragmatic origins. The corresponding abductive-regulative model is anchored in the assumption of biological rhythmization as the very foundation of perception and mental/physical action. Understood to originate in space and spatial perspective, time reveals itself as an instrument for temporal perspective on motion (events and situations) in a process of analysis, i.e., discontinuation of chaos made divisible and continuous by the rhythmical screen. Whereas traditional philosophy of time paid attention almost exclusively to the temporal category of tense, the biopragmatic model sees strong evidence in the perspectival nature of time for ascribing the decisive, and probably universal, role in temporal analysis to the linguistic category of aspect. Aspect may, according to the present findings, be assumed to partake already of change-of-state and cause-effect analysis without which man’s adaptation to new situations – and precondition for survival – would be inconceivable. The proposed model of space/time cognition, inspired by Hegelian dialectics, Heidegger-Gadamer’s hermeneutic circle and Peircean logic, makes Kantian a priori superfluous and liberates time from its enigmatic appearance. For the first time in temporal studies it thus appears possible to derive hypothetically linguistic expressions of time all the way from pretemporal, homogeneous continuity effected by biological rhythmization, via pretemporal metonymic (Gestalt), chunk-wise partitioning – as a general precondition for the perception and, based on primary metaphorization, the cognition of things, space and motion – to temporal analysis/discontinuation proper, primarily by aspectual perspective, and the subsequent synthesized, heterogeneous continuity of temporally ordered events. The conception of time, so disastrous for modern temporal logic, i.e., as moving object assigned extension, divisible continuity (‛linearity’) and direction, can be shown to have emerged as a result of secondary metaphorization. (shrink)

This paper uncovers the basic reason for the mysterious change of sign from plus to minus in the fourth coordinate of nature's Pythagorean law, usually accepted on empirical grounds, although it destroys the rational basis of a Riemannian geometry. Here we assume a genuine, positive-definite Riemannian space and an action principle which is quadratic in the curvature quantities (and thus scale invariant). The constant σ between the two basic invariants is equated to1/2. Then the matter tensor has the trace zero. (...) In consequence of the constancy of the scalar curvature and the divergence identity of the matter tensor, the perturbation metric has to satisfy a scalar and a vector condition, with a negative sign in the fourth coordinate. These conditions lead to the Lorentz condition and the wave equation for the vector potential. Thus the entire Maxwell-Lorentz type of electrodynamics becomes logically derivable, making no concession to any irrationality. (shrink)

This article explores the affinities between film and philosophy by returning to a shared meditation on death and the nature of time. Death has been considered the muse of philosophy and can also be considered the muse of film-philosophy. But what does it mean to say that to film-philosophise is to learn to die, or a kind of training for dying? Film is an artistic object that reminds us of death’s inevitability; it is a meditation on the transient and (...) finite nature of time. Films as diverse as Mizoguchi’s Tales of Ugetsu, Resnais’s Hiroshima mon Amour, and Guzmán’s Nostalgia for the Light take an uncanny approach to the subject, expressing the paradoxical coexistence of life and death and of different temporal dimensions. This article explores the philosophical concept of the death-image and time through a Deleuzian approach to cinema, meditating on the flashback, the coexistence of the present and the past, and the emergence of a new type of Lazarean character – one who returns from the dead. The article aims to clarify not simply death’s unquestionable omnipresence in film but also cinema’s role as a contemporary version of the trope of memento mori. (shrink)

Why does time appear to run in only one direction? We remember the past- but why not the future? We can influence the future- but could we, even theoretically, influence the past? Generations of philosophers and theologians, physicists and mathematicians have puzzles and speculated about these and the many other questions that surround the concept of time. Recent scientific work is said to explain the directionality of time. But time still contains many mysteries- black holes and (...) big bangs, asymmetries and relativities, arrows and loops - that will doubtless continue to occupy us for centuries to come. In this impressive collection of original articles ten internationally known scholars explore and explains the nature of time, apace and now space-time. Founded on the latest developments in thermodynamics, quantum theory and cosmology, their ideas will fascinate anyone interested in Einstein's theory of relativity. (shrink)

This volume addresses the question of time from the perspective of the time of nature. Its aim is to provide some insights about the nature of time on the basis of the different uses of the concept of time in natural sciences. Presenting a dialogue between philosophy and science, it features a collection of papers that investigate the representation, modeling and understanding of time as they appear in physics, biology, geology and paleontology. It asks questions (...) such as: whether or not the notions of time in the various sciences are reducible to the same physical time, what status should be given to timescale differences, or what are the specific epistemic issues raised by past facts in natural sciences. The book first explores the experience of time and its relation to time in nature in a set of chapters that bring together what human experience and physics enable metaphysicians, logicians and scientists to say about time. Next, it studies time in physics, including some puzzling paradoxes about time raised by the theory of relativity and quantum mechanics. The volume then goes on to examine the distinctive problems and conceptions of time in the life sciences. It explores the concept of deep time in paleontology and geology, time in the epistemology of evolutionary biology, and time in developmental biology. Each scientific discipline features a specific approach to time and uses distinctive methodologies for implementing time in its models. This volume seeks to define a common language to conceive of the distinct ways different scientific disciplines view time. In the process, it offers a new approach to the issue of time that will appeal to a wide range of readers: philosophers and historians of science, metaphysicians and natural scientists - be they scholars, advanced students or readers from an educated general audience. (shrink)

This is a nontechnical overview of how various approaches to quantum gravity suggest modifications to the way we conceptualize space and time. A theory of quantum gravity is needed to reconcile quantum physics with general relativity, our best theory for gravity. The most popular approaches to quantum gravity are string theory and loop quantum gravity. So far, no approach has been empirically successful, and there is no commonly accepted theory. Thus, the conclusions presented here are tentative. Many approaches suggest (...) that space and time—or perhaps, it is better to talk about spacetime—might not be fundamental. Various views on how to think about time in quantum gravity are briefly presented. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Mind, Theaters, and the Anatomy of ConsciousnessDonald Beecher"All unified theories of cognition today involve theater metaphors."—Bernard J. BaarsAmong the most perplexing challenges for cognitive philoso-phers are those pertaining to representationalism, Gilbert Ryle's denial of the "ghost in the machine," the languages of cognition, and the "self" as the one-time audience and author of consciousness.1 Each of these topics can be discussed metaphorically in terms of the theater. The (...) mind is a kind of acting space in which thoughts and images are in some fashion prepared and represented in rapid sequence. Consciousness is a theatrical machine behind which there is a director who helps to determine how the narrative of the mind will play itself out. The discrete "I" is not only the prompter of consciousness, but its audience, receiving all that is played in the mind's theater. Or, in the words of C. S. Sherrington, "each waking day is a stage dominated for good or ill, in comedy, farce or tragedy by a dramatis persona, the 'self,' and so it will be until the curtain drops."2 The problem, however, is that in matters so difficult to comprehend as the workings of the human brain and the mind operations attached to it, metaphors develop vectors of their own that shade and nuance understanding in ways that obstruct the plasticity of analysis. For this reason, theater analogies in relation to consciousness have been widely endorsed in characterizing its distinctive operations, yet widely criticized for epitomizing the philosophical thinking in the past (and the present) that detaches consciousness from the emotions, the body, and the material world. For the latter reason, the metaphor of [End Page 1] the theater will generally be found wanting, as it is in Dennett's assault on what he labels "the Cartesian theater." And yet there are compelling reasons why this metaphor may persist for a time to come as the image of choice for illustrating the operations of consciousness.Arguably, the earliest intimations of mind as resembling a theater emerged at the beginning of the sixteenth century. It was not only an age that fostered a renewed interest in dramatized spectacle, but one that confronted, through theater metaphors, the illusory nature of human experience. The rise of the modern theater, and speculations upon reality in relation to happenings in the mind, are quite separate phenomena, but, arguably, a sense of the theater as a place of memory, of illusions projected as realities, and of experience provided the best "thought experiment" for dealing with the paradoxes of mentation. In fact, the emerging sense of reality as an illusion was tantamount to a major paradigm shift, one that has remained at the center of western philosophy from the time of Descartes to the present day. That there could be a disparity between the phenomena of mind and the world of extension was a watershed in epistemological thinking, and it followed, as a matter of course, that the illusions associated with perception would find expression in the illusions associated with theatrical representation. The result was that the medieval metaphor of the speculum, emphasizing the mind as the faithful reflection of reality, was replaced by the theater, in which the necessary conventions permitting belief came to bear on the understanding of the data which the mind represented to itself. In short, conventions are to the theater what adequate representation is to the mind—the necessary slippages whereby perceptions function as reality.Parallel insights into the mind as a theater came about through sixteenth-century inquiries into mnemonics techniques for the improvement of memory. This metaphor of mind came about by analogy with memory theaters of the kind epitomized in the Idea del Theatro (1550) of Giulio Camillo. He chose the theater simply as the most apt edifice in which to house his elaborate set of memory prompts. His goal was to devise an actual working machine for enhancing recall. He chose the theater because of its architectural complexity and multi-sectionality which he could in turn invest with information. Yet insofar as the theater functioned in relation to memory through the art of mnemonics, it became an extension of mind, and... (shrink)

It is the laws of nature, among other things, that allow for the periodic processesthat underlie isochronic clocks. Is God in any Measured Time? If not, does our Measured Time measure the eternity of God? I will argue that God is not in any ...

The rapid pace of development over the last few decades in the domain of machine learning mirrors the advances made in the field of quantum computing. It is natural to ask whether the conventional machine learning algorithms could be optimized using the present-day noisy intermediate-scale quantum technology. There are certain computational limitations while training a machine learning model on a classical computer. Using quantum computation, it is possible to surpass these limitations and carry out such calculations in an optimized manner. (...) This study illustrates the working of the quantum support vector machine classification model which guarantees an exponential speed-up over its typical alternatives. This research uses the quantum SVM model to solve the classification task of a malignant breast cancer diagnosis. This study also demonstrates a comparative analysis of distinct forms of SVM algorithms concerning their time complexity and performances on standard evaluation metrics, namely accuracy, precision, recall, and F1-score, to exemplify the supremacy of quantum SVM over its conventional variants. (shrink)

An examination of the philosophy of Anne Conway (1631-1679) and the main aspects of her fascinating work, Principles of the Most Ancient and Modern Philosophy.

I do not wish to deal with all the domains in which the word time enters as if it were referring to an obvious aspect of the world or worlds that we human live. Indeed, the very fact that time can be made an issue of reflection shows us that what the word time connotes changes with the circumstances in which it is used. This situation alone, however, would not constitute a problem inviting us to enter in (...) deep reflections if we just accepted that the context defined the meaning of the word in each case. But we do not do that, and we ask the question what is time? as if we thought that the word time referred to some independent entity or dimension of nature that could be properly disclosed or described if we tried hard enough, even if we could not the final essence of it. I consider, however, that the question what is time? is adequate because it implies from the start the view that time can be properly treated as some kind of independent entity or dimension of nature. And I consider that such a view is fully inadequate because I think that all that we human beings talk about are relations that arises in our operation in language as a closed domain of recursive consensual coordinations of behaviors. Let me explain what I say with a few words about living, language, and cognition, and then answer the question what distinctions do we make or connote when we talk of time? (shrink)

If we live on the weak brane with zero effective cosmological constant in a warped 5D bulk spacetime, gravitational waves and brane fluctuations can be generated by a part of the 5D Weyl tensor and carries information of the gravitational field outside the brane. We consider on a cylindrical symmetric warped FLRW background a U self-gravitating scalar field coupled to a gauge field without bulk matter. It turns out that brane fluctuations can be formed dynamically, due to the modified (...) energy–momentum tensor components of the scalar-gauge field. As a result, we find that the late-time behavior could significantly deviate from the standard evolution of the universe. The effect is triggered by the time-dependent warpfactor with two branches of the form \}\) constants) and the modified brane equations comparable with a dark energy effect. This is a brane-world mechanism, not present in standard 4D FLRW, where the large disturbances are rapidly damped as the expansion proceed. Because gravity can propagate in the bulk, the cosmic string can build up a huge angle deficit by the warpfactor and can induce massive KK-modes felt on the brane. Disturbances in the spatial components of the stress-energy tensor cause cylindrical symmetric waves, amplified due to the presence of the bulk space and warpfactor. They could survive the natural damping due to the expansion of the universe. It turns out that one of the metric components becomes singular at the moment the warp factor develops an extremum. This behavior could have influence on the possibility of a transition from acceleration to deceleration or vice versa. (shrink)

In General Relativity in Hamiltonian form, change has seemed to be missing, defined only asymptotically, or otherwise obscured at best, because the Hamiltonian is a sum of first-class constraints and a boundary term and thus supposedly generates gauge transformations. Attention to the gauge generator G of Rosenfeld, Anderson, Bergmann, Castellani et al., a specially _tuned sum_ of first-class constraints, facilitates seeing that a solitary first-class constraint in fact generates not a gauge transformation, but a bad physical change in electromagnetism or (...) General Relativity. The change spoils the Lagrangian constraints, Gauss's law or the Gauss-Codazzi relations describing embedding of space into space-time, in terms of the physically relevant velocities rather than auxiliary canonical momenta. But the resemblance between the gauge generator G and the Hamiltonian H leaves still unclear where objective change is in GR. Insistence on Hamiltonian-Lagrangian equivalence, a theme emphasized by Castellani, Sugano, Pons, Salisbury, Shepley and Sundermeyer among others, holds the key. Taking objective change to be ineliminable time dependence, one recalls that there is change in vacuum GR just in case there is no time-like vector field xi^a satisfying Killing's equation L_xi g_mn=0, because then there exists no coordinate system such that everything is independent of time. Throwing away the spatial dependence of GR for convenience, one finds explicitly that the time evolution from Hamilton's equations is real change just when there is no time-like Killing vector. The inclusion of a massive scalar field is simple. No obstruction is expected in including spatial dependence and coupling more general matter fields. Hence change is real and local even in the Hamiltonian formalism. The considerations here resolve the Earman-Maudlin standoff over change in Hamiltonian General Relativity: the Hamiltonian formalism is helpful, and, suitably reformed, it does not have absurd consequences for change and observables. Hence the classical problem of time is resolved. The Lagrangian-equivalent Hamiltonian analysis of change in General Relativity is compared to Belot and Earman's treatment. The more serious quantum problem of time, however, is not automatically resolved due to issues of quantum constraint imposition. (shrink)

The ideal scalar Aharonov–Bohm (SAB) and Aharonov–Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field in the SAB case and perpendicular to a planar static electric field in the AC case. We extend these effects to arbitrary direction of the magnetic dipole. The precise conditions for having nondispersive precession and interference effects in these generalized set ups are delineated both classically and quantally. Under these conditions the dipole (...) is affected by a nonvanishing torque that causes pure precession around the directions defined by the ideal set ups. It is shown that the precession angles are in the quantal case linearly related to the ideal phase differences, and that the nonideal phase differences are nonlinearly related to the ideal phase differences. It is argued that the latter nonlinearity is due to the appearance of a geometric phase associated with the nontrivial spin path. It is further demonstrated that the spatial force vanishes in all cases except in the classical treatment of the nonideal AC set up, where the occurring force has to be compensated by the experimental arrangement. Finally, for a closed space-time loop the local precession effects can be inferred from the interference pattern characterized by the nonideal phase differences and the visibilities. It is argued that this makes it natural to regard SAB and AC as essentially local and nontopological effects. (shrink)

Standard practice in philosophy of religion is to evaluate certain theological positions with respect to how well they comport with desirable philosophical positions and vice versa. Objections to skeptical theism generally posit that the position requires an unacceptable level of skepticism. Compatibility with the doctrine of the resurrection is used in an attempt to break ties in the debate between dualists and materialists about human persons. And so forth. In this chapter, I undertake such a discussion regarding theories of (...) class='Hi'>time and the nature of the atonement. One’s views about the metaphysics of time can be used to help clarify one’s views about the nature of atonement, and vice versa. To this end, I discuss the current advantages and disadvantages presentism and eternalism have with respect to atonement theory and provide direction for future conversation. (shrink)

Many Christians believe that persons who, at the moment of death, are in rebellion from God, are damned, while those in right relationship with Godare saved. This is what, for instance, the Catholic teaching regarding the fate of those who die in mortal sin amounts to. In this paper, I argue that this “last moment view” is incompatible with a popular theory of time known as eternalism, according to which all times are equally real. If that’s right, then those (...) who accept the last moment view are committed to an alternative theory of time known as presentism. (shrink)

From a metaphysical point of view, it is important clearly to see the ontological difference between what is studied in mathematics and mathematical physics, respectively. In this respect, the paper is concerned with the vectors of classical physics. Vectors have both a scalar magnitude and a direction, and it is argued that neither conventionalism nor wholesale anti‐conventionalism holds true of either of these components of classical physical vectors. A quantification of a physical dimension requires the discovery of ontological order (...) relations among all the determinate properties of this dimension, as well as a conventional definition that connects the number one and mathematical unit vectors to determinate spatiotemporal physical entities. One might say that mathematics deals with numbers and vectors, but mathematical physics with scalar quantities and vector quantities, respectively. The International System of Units distinguishes between basic and derived scalar quantities; if a similar distinction should be introduced for the vector quantities of classical physics, then duration in directed time ought to be chosen as the basic vector quantity. The metaphysics of physical vectors is intimately connected with the metaphysics of time. From a philosophical‐historical point of view, the paper revives W. E. Johnson's distinction ‘determinates‐determinables’ and Hans Reichenbach's notion of ‘coordinative definition’. (shrink)

Ulrich Meyer defends a novel theory about the nature of time, and argues against the consensus view that time and space are fundamentally alike. He presents the first comprehensive defense of a 'modal' account, which emphasizes the similarities between times and possible worlds in modal logic, and is easily reconciled with the theory of relativity.

Formulates the central claim to be defended in the book, which is a conjunction of two theses. First, tenseless concepts and facts are more basic than tensed concepts and facts. Second, the world is dynamic: while the past and the present are real, the future is not. The chapter also outlines the role of causation on this account: the direction of time is defined in terms of the direction of causation, and causation can exist only in a dynamic world.

Introduction. PHilosophy of Language and Linguistics: The Formal Turn Piotr Stalmaszczyk Gottlob Frege, Philosophy of Language, and Predication Piotr Stalmaszczyk Philosophy, Linguistics and Semantic Interpretation Christian Bassac An Unresolved Issue: Nonsense in Natural Language and Non-Classical Logical and Semantic Systems Elzbieta Chrzanowska-Kluczewska Varieties of Context-Dependence Tadeusz Ciecierski The Logos of Semantic Structure Marie Du í, Bjørn Jespersen and Pavel Materna The Good Samaritan and the Hygienic Cook: A Cautionary Tale About Linguistic Data Chris Fox The Meaning of Multiple Quantified Sentences: (...) Where Formal Semantics Meets Psycholinguistics Justyna Grudzinska The Hybrid Theory of Reference for Proper Names Filip Kawczynski On the Nature of Statistical Language Laws Agnieszka Kulacka Vagueness and Contextualism Joanna Odrowaz-Sypniewska The Myth of Semantic Structure Jaroslav Peregrin Scalar Implicatures, Communication and Language Evolution Salvatore Pistoia Reda Semantics and Contextuality: The Case of Pia s Leaves Stefano Predelli Is Logico-Semantical Analysis of Natural Language Expressions a Translation? Jirí Raclavský Beyond the Fregean Myth: The Value of Logical Values Fabien Schang Modal Calculus of Illocutionary Logic Andrew Schumann Subjectivity in Philosophy and Linguistics Barbara Sonnenhauser Asymmetrical Semantics Mieszko Talasiewicz Truth: An Anti-realist Adequacy Condition Luca Tranchini Belief Reports: Defaults, Intentions and Scorekeeping Giacomo Turbanti On Truth in Time Bartosz Wieckowski Order William J. SUllivan Indexes. (shrink)

In this paper, we investigate non-homogeneous wave equations in fractional space-time domains of space dimension _D_, \(0 and time dimension \(\beta\), \(0. We write the wave equations in terms of potential functions and non-zero source terms. For scalar source terms, the potential functions are also scalar functions, and for vector source terms, the potential functions are vector functions. We derived an expression for the wave to propagate from the source point to the observation point. (...) The study shows that the time for a wave to propagate from the source point to the observation point in a fractional space-time domain could be different from that in an integer order space-time domain. (shrink)

Roberto Mangabeira Unger and Lee Smolin argue for a revolution in our cosmological ideas. Ideal for non-scientists, physicists and cosmologists.

Einstein said that the most incomprehensible thing about the universe is that it is comprehensible. But was he right? Can the quantum theory of fields and Einstein's general theory of relativity, the two most accurate and successful theories in all of physics, be united in a single quantum theory of gravity? Two of the world's most famous physicists - Stephen Hawking and Roger Penrose - disagree. Here they explain their positions in a work based on six lectures with a final (...) debate, all originally presented at the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge. (shrink)

Phenomenology of music has been a perspective trend of phenomenological aesthetics for more than a hundred years. The topic of the paper is fixation the main problems and vectors of development of phenomenology of music. The authors execute an analysis of Roman Ingarden’s position in the discussions concerning the methodological and ontological problems of phenomenology of music. The paper aims at revealing succession in Roman Ingarden’s solutions to the phenomenology of music problems. The other aim is reflection on the originality (...) of Ingarden’s ideas in the context of phenomenological interpretations of music in 20th and 21st centuries. The solution to these tasks allows the authors to fix key problems and identify the principal positions of phenomenology of music. The main sources of the comparative and historical analysis are the studies carried out by Husserl, Sartre, Merleau-Ponty, Clifton, and Ihde. The most important ontological problems of phenomenology of music are: spatiotemporal constitution of music, reduction of a work of music to its performance, and ontological status of a work of music. The analysis of Ingarden’s position on these problems allows us to characterize it as something different from the existing versions. According to the conception, the time of music is a special type of time, that is, quasi-time. A piece of music is a purely intentional, heteronomous, and intersubjective object. There are a number of methodological specificities of Ingarden’s approach: a refusal of reduction of musical theoretical data, a tendency for independence of a piece of music from conscious and mental processes, and an interpretation of a piece of music as a non-sounding phenomenon. In conclusion, the authors demonstrate how the originality and radical nature of Ingarden’s conclusions made his position defenseless against critique and simultaneously marked the tendency in the contemporary phenomenological studies of music. (shrink)

The purpose of this paper is twofold. First, I want to examine some rather curious arguments of Kant’s which purport to show that some alleged properties of space can be derived from some alleged facts about incongruous counterparts. Secondly, I want to give some preliminary answers to some important questions about the distinction between right and left and the nature of space and space-time which are raised by Kant’s argument. As a byproduct, I hope that the discussion will provide (...) an example of how science can illuminate philosophical issues and of how philosophy can at least lead one into interesting scientific issues. (shrink)