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Space and Time

Edited by Virendra Tripathi (University of Nebraska, Lincoln, University of Nebraska, Omaha)
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  1. Gerard 'T. Hooft (2001). Obstacles on the Way Towards the Quantisation of Space, Time and Matter — and Possible Resolutions. Studies in History and Philosophy of Science Part B 32 (2):157-180.
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  2. Ralph Abraham & Sisir Roy (2012). The Atomistic Revival. World Futures 68 (1):30 - 39.
    In our recent book (Abraham and Roy 2010) we have repurposed a mathematical model for the quantum vacuum as a model of consciousness. In this model, discrete space and time are derived from a discrete cellular dynamical network. As our model is essentially atomistic, we included in our book a short support chapter on atomism. In this aticle we expand on the few pages of that chapter devoted to the history of atomism, to place the current revival of atomism in (...)
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  3. Ernest W. Adams (1994). On the Method of Superposition. British Journal for the Philosophy of Science 45 (2):693-708.
  4. Ernest W. Adams (1972). Book Review:Geometry and Chronometry in Philosophical Perspective Adolf Grunbaum. [REVIEW] Philosophy of Science 39 (4):553-.
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  5. Diederik Aerts (2013). The Quantum Mechanics and Conceptuality: Matter, Histories, Semantics, and Space-Time. Scientiae Studia 11 (1):75-99.
    Elaboramos aquí una nueva interpretación propuesta recientemente de la teoría cuántica, según la cual las partículas cuánticas son consideradas como entidades conceptuales que median entre los pedazos de materia ordinaria los cuales son considerados como estructuras de memoria para ellos. Nuestro objetivo es identificar qué es lo equivalente para el ámbito cognitivo humano de lo que el espacio-tiempo físico es para el ámbito de las partículas cuánticas y de la materia ordinaria. Para ello, se identifica la noción de "historia" como (...)
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  6. Yakir Aharonov & Gideon Carmi (1974). Quantum-Related Reference Frames and the Local Physical Significance of Potentials. Foundations of Physics 4 (1):75-81.
    In a sequel to our previous paper we discuss two thought experiments which show that potentials in force-free regions have not only a nonlocal physically measurable significance (via, e.g., ∮A ·dl), but, in singly connected portions of that region, also have a necessary local significance (via their quantum spread ΔA, which cannot be neglected). We then show, in continuation to the foregoing paper, how suchA arise “geometrically” as kinematic quantities associated with the transformation between “quantum-related” reference frames, e.g., when the (...)
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  7. Maqbool Ahmed, Indications of de Sitter Spacetime From Classical Sequential Growth Dynamics of Causal Sets.
    A large class of the dynamical laws for causal sets described by a classical process of sequential growth yields a cyclic universe, whose cycles of expansion and contraction are punctuated by single ‘‘origin elements’’ of the causal set. We present evidence that the effective dynamics of the immediate future of one of these origin elements, within the context of the sequential growth dynamics, yields an initial period of de Sitter-like exponential expansion, and argue that the resulting picture has many attractive (...)
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  8. A. Ainley (1997). Elizabeth Grosz. Space, Time and Perversion. Journal of Applied Philosophy 14:205-206.
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  9. Mitrofan Semenovich Aksenov (1896/2011). Transt͡sendentalʹno-Kineticheskai͡a Teorīi͡a Vremeni.
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  10. R. Aldrovandi, A. L. Barbosa, M. Calçada & J. G. Pereira (2003). Kinematics of a Spacetime with an Infinite Cosmological Constant. Foundations of Physics 33 (4):613-624.
    A solution of the sourceless Einstein's equation with an infinite value for the cosmological constant Λ is discussed by using Inönü–Wigner contractions of the de Sitter groups and spaces. When Λ→∞, spacetime becomes a four-dimensional cone, dual to Minkowski space by a spacetime inversion. This inversion relates the four-cone vertex to the infinity of Minkowski space, and the four-cone infinity to the Minkowski light-cone. The non-relativistic limit c→∞ is further considered, the kinematical group in this case being a modified Galilei (...)
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  11. R. Aldrovandi, P. B. Barros & J. G. Pereira (2003). The Equivalence Principle Revisited. Foundations of Physics 33 (4):545-575.
    A precise fomulation of the strong Equivalence Principle is essential to the understanding of the relationship between gravitation and quantum mechanics. The relevant aspects are reviewed in a context including General Relativity but allowing for the presence of torsion. For the sake of brevity, a concise statement is proposed for the Principle: An ideal observer immersed in a gravitational field can choose a reference frame in which gravitation goes unnoticed. This statement is given a clear mathematical meaning through an accurate (...)
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  12. R. Aldrovandi & J. G. Pereira (2009). De Sitter Relativity: A New Road to Quantum Gravity? [REVIEW] Foundations of Physics 39 (1):1-19.
    The Poincaré group generalizes the Galilei group for high-velocity kinematics. The de Sitter group is assumed to go one step further, generalizing Poincaré as the group governing high-energy kinematics. In other words, ordinary special relativity is here replaced by de Sitter relativity. In this theory, the cosmological constant Λ is no longer a free parameter, and can be determined in terms of other quantities. When applied to the whole universe, it is able to predict the value of Λ and to (...)
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  13. R. Aldrovandi, J. G. Pereira & K. H. Vu (2007). The Nonlinear Essence of Gravitational Waves. Foundations of Physics 37 (10):1503-1517.
    A critical review of gravitational wave theory is made. It is pointed out that the usual linear approach to the gravitational wave theory is neither conceptually consistent nor mathematically justified. Relying upon that analysis it is argued that—analogously to a Yang-Mills propagating field, which must be nonlinear to carry its gauge charge—a gravitational wave must necessarily be nonlinear to transport its own charge—that is, energy-momentum.
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  14. Natasha Alechina, Piergiorgio Bertoli, Chiara Ghidini, Mark Jago, Brian Logan & Luciano Serafini (2007). Verifying Space and Time Requirements for Resource-Bounded Agents. In A. Lomuscio & S. Edelkamp (eds.), Model Checking and Artificial Intelligence. Springer.
    The effective reasoning capability of an agent can be defined as its capability to infer, within a given space and time bound, facts that are logical consequences of its knowledge base. In this paper we show how to determine the effective reasoning capability of an agent with limited memory by encoding the agent as a transition system and automatically verifying whether a state where the agent believes a certain conclusion is reachable from the start state. We present experimental results using (...)
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  15. Rafael-Andrés Alemañ-Berenguer (2011). Epistemologic Controversy on Quantum Operators. Principia 14 (2):241-253.
    Since the very begining of quantum theory there started a debate on the proper role of space and time in it. Some authors assumed that space and time have their own algebraic operators. On that basis they supposed that quantum particles had “coordinates of position”, even though those coordinates were not possible to determine with infinite precision. Furthermore, time in quantum physics was taken to be on an equal foot, by means of a so-called “Heisenberg’s fourth relation of indeterminacy” concerning (...)
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  16. Matthew Alexander & Peter G. Bergmann (1986). The Gravitational Field at Spatial Infinity. Foundations of Physics 16 (5):445-454.
    This paper treats the formulation of the gravitational field variables and the equations obeyed by them at spatial infinity. The variables consist of a three-dimensional tensor and a scalar, which satisfy separate field equations, which in turn can be obtained from two distinct Lagrangians. Aside from Lorentz rotations, the symmetry operations include an Abelian gauge group and an Abelian Lie group, leading to a number of conservation laws and to differential identities between the field equations.
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  17. Stephon H. S. Alexander & Gianluca Calcagni (2008). Quantum Gravity as a Fermi Liquid. Foundations of Physics 38 (12):1148-1184.
    We present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern–Simons state reduces to Jacobson’s degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as wormhole correlations at the de Sitter horizon; (...)
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  18. Allen D. Allen (1976). The Big Bang is Not Needed. Foundations of Physics 6 (1):59-63.
    Recent computer simulations indicate that a system ofn gravitating masses breaks up, even when the total energy is negative. As a result, almost any initial phase-space distribution results in a universe that eventually expands under the Hubble law. Hence Hubble expansion implies little regarding an initial cosmic state. Especially it does not imply the singularly dense superpositioned state used in the big bang model.
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  19. J. Anandan (1980). On the Hypotheses Underlying Physical Geometry. Foundations of Physics 10 (7-8):601-629.
    The relationship between physics and geometry is examined in classical and quantum physics based on the view that the symmetry group of physics and the automorphism group of the geometry are the same. Examination of quantum phenomena reveals that the space-time manifold is not appropriate for quantum theory. A different conception of geometry for quantum theory on the group manifold, which may be an arbitrary Lie group, is proposed. This provides a unified description of gravity and gauge fields as well (...)
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  20. Arlen Anderson & Bryce DeWitt (1986). Does the Topology of Space Fluctuate? Foundations of Physics 16 (2):91-105.
    Evidence is presented that the singularities induced in causal Lorentzian spacetimes by changes in 3-space topology give rise to infinite particle and energy production under reasonable laws of quantum field propagation. In the case of the gravitational field, if 3-space is compact the total energy must vanish. A topological transition therefore induces a violent collapse that effectively aborts the transition, since the collapse mode is the only mode carrying the negative energy needed to compensate the associated infinite energy production. The (...)
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  21. Roger B. Angel (1980). Relativity, the Theory and its Philosophy. Pergamon Press.
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  22. P. Antonelli (1995). The Geometry of Langrange Spaces: Theory and Applications. Foundations of Physics 25:503-503.
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  23. J. C. Aron (1981). The Foundations of Relativity. Foundations of Physics 11 (1-2):77-101.
    In a previous paper a stochastic foundation was proposed for microphysics: the nonrelativistic and relativistic domains were shown to be connected with two different approximations of diffusion theory; the relativistic features (Lorentz contraction for the coordinate standard deviation, covariant diffusion equation) were not derived from the relativistic formalism introduced at the start, but emerged from diffusion theory itself. In the present paper these results are given a new presentation, which aims at elucidating not the foundations of quantum mechanics, but those (...)
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  24. Richard T. W. Arthur, Minkowski Spacetime and the Dimensions of the Present.
    In Minkowski spacetime, because of the relativity of simultaneity to the inertial frame chosen, there is no unique world-at-an-instant. Thus the classical view that there is a unique set of events existing now in a three dimensional space cannot be sustained. The two solutions most often advanced are (i) that the four-dimensional structure of events and processes is alone real, and that becoming present is not an objective part of reality; and (ii) that present existence is not an absolute notion, (...)
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  25. Ray E. Artz (1981). Classical Mechanics in Galilean Space-Time. Foundations of Physics 11 (9-10):679-697.
    Galilean space-time plays the same role in nonrelativistic physics that Minkowski space-time does in relativistic physics. In this paper, the fundamental concepts (velocity, momentum, kinetic energy, etc.) and principles (laws of motion and conservation laws) of classical physics are formulated in the language of Galilean space-time. Much of the development closely parallels the development of similar concepts and principles in the theory of special relativity.
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  26. R. M. Asherova, J. P. Draayer, Yu I. Kharitonov & Yu F. Smirnov (1997). The Biedenharn-Louck-Hecht Resolution of the Outer Multiplicity Problem for theU(3) andU Q (3) Groups. Foundations of Physics 27 (7):1035-1046.
    The solution of the outer multiplicity problem in the tensor product of U(3) irreducible representations (irreps) developed by Biedenharn et al.(1–7) and realized through the well-known Draayer-Akiyama (DA) computer code(8) is extended to the quantum algebra Uq(3). An analytic formula for special stretched Uq(3) Wigner coefficients, $$\left\langle {(\lambda _1 \mu _1 ) H_1 , (\lambda _2 \mu _2 ) \varepsilon _2 \Lambda _2 m_2 \left| { (\lambda _3 \mu _3 ) H_3 } \right.} \right\rangle _{\max }^q $$ is derived using (...)
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  27. A. Ashtekar & J. Stachel (eds.) (1991). Conceptual Problems of Quantum Gravity. Birkhauser.
    Introduction: The Winding Road to Quantum Gravity Abhay Ashtekar Traveler, there are no paths; Paths are made by walking. ...
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  28. Abhay Ashtekar (1985). Logarithmic Ambiguities in the Description of Spatial Infinity. Foundations of Physics 15 (4):419-431.
    Logarithmic ambiguities in the choice of asymptotically Cartesian coordinates at spatial infinity are discussed. It is shown that they do not affect the definitions of energy-momentum and angular momentum at i°. Thus, from a physical viewpoint, the ambiguities are “pure gauge.” A prescription is given for fixed this gauge freedom for the class of space-times in which the leading-order part of the Weyl tensor satisfies a certain reflection symmetry. This class admits, in all (relatively boosted) rest frames at infinity, a (...)
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  29. André K. T. Assis & Peter Graneau (1996). Nonlocal Forces of Inertia in Cosmology. Foundations of Physics 26 (2):271-283.
    This paper reviews the origin of inertia according to Mach's principle and Weber's law of gravitation. The resulting theory is based on simultaneous nonlocal gravitational interactions between particles in the solar system and others in the remote universe beyond the Milky Way galaxy. It explains the precession of the perihelion of Mercury. A most important implication of the Mach-Weber theory of the force of inertia is the necessity for a large amount of uniformly distributed matter in the galactic universe. This (...)
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  30. V. A. At͡si͡ukovskiĭ (2009). Materializm I Reliativizm: Kritika Metodologii Sovremennoĭ Teoreticheskoĭ Fiziki: K 100-Letii͡u Vykhoda V Svet Knigi V.
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  31. Sunny Y. Auyang (2001). Spacetime as a Fundamental and Inalienable Structure of Fields. Studies in History and Philosophy of Science Part B 32 (2):205-215.
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  32. Sunny Y. Auyang (2000). Mathematics and Reality: Two Notions of Spacetime in the Analytic and Constructionist Views of Gauge Field Theories. Philosophy of Science 67 (3):494.
    This paper presents two interpretations of the fiber bundle formalism that is applicable to all gauge field theories. The constructionist interpretation yields a substantival spacetime. The analytic interpretation yields a structural spacetime, a third option besides the familiar substantivalism and relationalism. That the same mathematical formalism can be derived in two different ways leading to two different ontological interpretations reveals the inadequacy of pure formal arguments.
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  33. James Ax (1978). The Elementary Foundations of Spacetime. Foundations of Physics 8 (7-8):507-546.
    This paper is an amalgam of physics and mathematical logic. It contains an elementary axiomatization of spacetime in terms of the primitive concepts of particle, signal, and transmission and reception. In the elementary language formed with these predicates we state AxiomsE, C, andU, which are naturally interpretable as basic physical properties of particles and signals. We then determine all mathematical models of this axiom system; these represent certain generalizations of the standard model. Also, the automorphism groups of the models are (...)
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  34. Jonathan Bain, Condensed Matter Physics and the Nature of Spacetime.
    This essay considers the prospects of modeling spacetime as a phenomenon that emerges in the low-energy limit of a quantum liquid. It evaluates three examples of spacetime analogues in condensed matter systems that have appeared in the recent physics literature, indicating the extent to which they are viable, and considers what they suggest about the nature of spacetime.
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  35. Jonathan Bain, Motivating Structural Realist Interpretations of Spacetime.
    Motivated by examples from general relativity and Newtonian gravitation, this essay attempts to distinguish between the dynamical structure associated with a theory in physics, and its kinematical structure. This enables a distinction to be made between a structural realist interpretation of a theory based on its dynamical structure, and a structural realist interpretation of spacetime, as described by a theory, based on its kinematical structure. I offer category-theoretic formulations of dynamical and kinematical structure and indicate the extent to which such (...)
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  36. Jonathan Bain, Spacetime Structuralism.
    In this essay, I consider the ontological status of spacetime from the points of view of the standard tensor formalism and three alternatives: twistor theory, Einstein algebras, and geometric algebra. I briefly review how classical field theories can be formulated in each of these formalisms, and indicate how this suggests a structural realist interpretation of spacetime.
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  37. Jonathan Bain (2013). The Emergence of Spacetime in Condensed Matter Approaches to Quantum Gravity. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (3):338-345.
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  38. David Baker (2011). Broken Symmetry and Spacetime. Philosophy of Science 78 (1):128-148.
    The phenomenon of broken spacetime symmetry in the quantum theory of infinite systems forces us to adopt an unorthodox ontology. We must abandon the standard conception of the physical meaning of these symmetries, or else deny the attractive “liberal” notion of which physical quantities are significant. A third option, more attractive but less well understood, is to abandon the existing (Halvorson-Clifton) notion of intertranslatability for quantum theories.
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  39. John Tull Baker (1935). Some Pre-Critical Developments of Kant's Theory of Space and Time. Philosophical Review 44 (3):267-282.
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  40. John Tull Baker (1930). An Historical and Critical Examination of English Space and Time Theories From Henry More to Bishop Berkeley. Bronxville, N.Y.,Sarah Lawrence College.
  41. Yuri Balashov, Persistence and Multilocation in Spacetime.
    in D. Dieks (ed.), The Ontology of Spacetime, Vol. 2. Elsevier, forthcoming.
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  42. Yuri Balashov (2010). Persistence and Spacetime. Oxford University Press.
    Background and assumptions. Persistence and philosophy of time ; Atomism and composition ; Scope ; Some matters of methodology -- Persistence, location, and multilocation in spacetime. Endurance, perdurance, exdurance : some pictures ; More pictures ; Temporal modification and the "problem of temporary intrinsics" ; Persistence, location and multilocation in generic spacetime ; An alternative classification -- Classical and relativistic spacetime. Newtonian spacetime ; Neo-Newtonian (Galilean) spacetime ; Reference frames and coordinate systems ; Galilean transformations in spacetime ; Special relativistic (...)
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  43. Vijay Balasubramanian (2013). What We Don't Know About Time. Foundations of Physics 43 (1):101-114.
    String theory has transformed our understanding of geometry, topology and space-time. Thus, for this special issue of Foundations of Physics commemorating “Forty Years of String Theory”, it seems appropriate to step back and ask what we do not understand. As I will discuss, time remains the least understood concept in physical theory. While we have made significant progress in understanding space, our understanding of time has not progressed much beyond the level of a century ago when Einstein introduced the idea (...)
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  44. F. Bampi & A. Morro (1980). Objectivity and Objective Time Derivatives in Continuum Physics. Foundations of Physics 10 (11-12):905-920.
    The role played by objectivity in continuum physics is reexamined in an attempt to establish fully its deep connection with classical and relativistic time derivatives. The way of distinguishing one element in the class of objective time derivatives may depend on the particular problem of interest; this is emphasized in conjunction with material relaxation phenomena described via hidden variable evolution equations.
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  45. M. Banai (1985). Quantization of Space-Time and the Corresponding Quantum Mechanics. Foundations of Physics 15 (12):1203-1245.
    An axiomatic framework for describing general space-time models is presented. Space-time models to which irreducible propositional systems belong as causal logics are quantum (q) theoretically interpretable and their event spaces are Hilbert spaces. Such aq space-time is proposed via a “canonical” quantization. As a basic assumption, the time t and the radial coordinate r of aq particle satisfy the canonical commutation relation [t,r]=±i $h =$ . The two cases will be considered simultaneously. In that case the event space is the (...)
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  46. William Band (1988). Can Information Be Transferred Faster Than Light? I. Agedanken Device for Generating Electromagnetic Wave Packets with Superoptic Group Velocity. Foundations of Physics 18 (5):549-562.
    Agedanken electromagnetic device is described which permits the transfer of information at speeds faster than light without violating the principle of causality.
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  47. Karen Barad (2010). Quantum Entanglements and Hauntological Relations of Inheritance: Dis/Continuities, SpaceTime Enfoldings, and Justice-to-Come. Derrida Today 3 (2):240-268.
    How much of philosophical, scientific, and political thought is caught up with the idea of continuity? What if it were otherwise? This paper experiments with the disruption of continuity. The reader is invited to participate in a performance of spacetime (re)configurings that are more akin to how electrons experience the world than any journey narrated though rhetorical forms that presume actors move along trajectories across a stage of spacetime (often called history). The electron is here invoked as our host, an (...)
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  48. V. S. Barashenkov (1998). Mechanics in Six-Dimensional Spacetime. Foundations of Physics 28 (3):471-484.
    The peculiarities of mechanical motion in Minkovski space with three-dimensional time are considered. A variation principle for deriving equations of motion is defined and the vector nature of energy and conservation laws for six-dimensional energy-momentum vector are discussed. Difficulties connected with vacuum instability and the possibility of anomalous nuclear reactions are removed due to the time irreversibility principle. The motion of a charged particle in a constant electric field is studied as an example of multitime processes. Some results concerning planet (...)
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  49. Elisabetta Barletta & Sorin Dragomir (2012). Gravity as a Finslerian Metric Phenomenon. Foundations of Physics 42 (3):436-453.
    We give a description of the effect of the gravitational field by using the geodesic equation of motion with respect to a first order Finslerian approximation of the Minkowski metric. This motivates linking the physical force of gravity to the non flat nature of space in the Finslerian setting and leads to an anisotropic version of the red shift formula. We solve the linearized Finslerian field equations proposed by S.F. Rutz (Gen. Relativ. Gravit. 25(11):1139–1158, 1993).
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  50. Elder Gaul Barter (1953). Relativity and Reality. London, Watts.
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