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  1. Backwards Causation and the Direction of Causal Processes.Phil Dowe - 1996 - Mind 105 (418):227-248.
  • Relativisticp-Branes Without Constraints and Their Relation to the Wiggly Extended Objects.Matej Pavsc - 1995 - Foundations of Physics 25 (6):819-832.
    The invariant evolution parameter τ is often used in the formulation of a so-called unconstrained relativistic quantum theoryof a point particle. Such a theory is very elegant, and contains the usual Klein-Gordon or the Dirac particle as a special case. In the present paper we extend the unconstrained theory to describe a continuous set of point particles forming a string or, in general, a membrane of arbitrary dimension p.The action of this system is not invariant with respect to reparametrizations of (...)
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  • In Search of Time Lost: Asymmetry of Time and Irreversibility in Natural Processes. [REVIEW]A. L. Kuzemsky - 2020 - Foundations of Science 25 (3):597-645.
    In this survey, we discuss and analyze foundational issues of the problem of time and its asymmetry from a unified standpoint. Our aim is to discuss concisely the current theories and underlying notions, including interdisciplinary aspects, such as the role of time and temporality in quantum and statistical physics, biology, and cosmology. We compare some sophisticated ideas and approaches for the treatment of the problem of time and its asymmetry by thoroughly considering various aspects of the second law of thermodynamics, (...)
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  • On Locality in Quantum General Relativity and Quantum Gravity.Eduard Prugovečki - 1996 - Foundations of Physics 26 (12):1645-1668.
    The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on quantum bundles over curved spacetime is then described. It is shown that the resulting formulation of quantum-geometric locality based on the concept of local quantum frame incorporating a fundamental length embodies the key geometric and topological aspects of this concept. Taken in conjunction with the strong equivalence (...)
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  • Discrete Symmetries of Off-Shell Electromagnetism.Martin Land - 2005 - Foundations of Physics 35 (7):1263-1288.
    This paper discusses the discrete symmetries of off-shell electromagnetism, the Stueckelberg–Schrodinger relativistic quantum theory and its associated 5D local gauge theory. Seeking a dynamical description of particle/antiparticle interactions, Stueckelberg developed a covariant mechanics with a monotonically increasing Poincaré-invariant parameter. In Stueckelberg’s framework, worldlines are traced out through the parameterized evolution of spacetime events, which may advance or retreat with respect to the laboratory clock, depending on the sign of the energy, so that negative energy trajectories appear as antiparticles when the (...)
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  • Theories of Variable Mass Particles and Low Energy Nuclear Phenomena.Mark Davidson - 2014 - Foundations of Physics 44 (2):144-174.
    Variable particle masses have sometimes been invoked to explain observed anomalies in low energy nuclear reactions (LENR). Such behavior has never been observed directly, and is not considered possible in theoretical nuclear physics. Nevertheless, there are covariant off-mass-shell theories of relativistic particle dynamics, based on works by Fock, Stueckelberg, Feynman, Greenberger, Horwitz, and others. We review some of these and we also consider virtual particles that arise in conventional Feynman diagrams in relativistic field theories. Effective Lagrangian models incorporating variable mass (...)
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  • The Synchronization Problem in Covariant Relativistic Dynamics.Matthew Trump & W. C. Schieve - 1997 - Foundations of Physics 27 (1):1-17.
    In the classical Stueckelberg-Horwitz-Piron relativistic Hamiltonian mechanics, a significant aspect of evolution of the classical n-body particle system with mutual interaction is the method by which events along distinct particle world lines are put into correspondence as a dynamical state. Approaches to this procedure are discussed in connection with active and passive symmetry principles.
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  • Flat Spacetime Gravitation with a Preferred Foliation.J. B. Pitts & W. C. Schieve - 2001 - Foundations of Physics 31 (7):1083-1104.
    Paralleling the formal derivation of general relativity as a flat spacetime theory, we introduce in addition a preferred temporal foliation. The physical interpretation of the formalism is considered in the context of 5-dimensional “parametrized” and 4-dimensional preferred frame contexts. In the former case, we suggest that our earlier proposal of unconcatenated parametrized physics requires that the dependence on τ be rather slow. In the 4-dimensional case, we consider and tentatively reject several areas of physics that might require a preferred foliation, (...)
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  • Some Problems Concerning Language and Physics.Adonai Sant’Anna & Gabriel Guerrer - 2007 - Synthese 154 (3):467-484.
    We discuss three problems concerning the use of formal languages in theoretical physics: (i) the definability of time and spacetime in classical physical theories; (ii) how to cope with indistinguishable elementary particles in quantum mechanics without labeling them; and (iii) how to get a formal picture of quantum states jumping.
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  • The Embedding Model of Induced Gravity with Bosonic Sources.Matej Pavšic - 1994 - Foundations of Physics 24 (11):1495-1518.
    We consider a theory in which spacetime is a 4-dimensional manifold V4 embedded in an N-dimensional space VN. The dynamics is given by a first-order action which is a straightforward generalization of the well-known Nambu-Gotto string action. Instead of the latter action we then consider an equivalent action, a generalization of the Howe-Tucker action, which is a functional of the (extrinsic) embedding variables ηa(x) and of the (intrinsic) induced metric gυv (x) on V4. In the quantized theory we can define (...)
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  • On the Interpretation of the Relativistic Quantum Mechanics with Invariant Evolution Parameter.Matej Pavšič - 1991 - Foundations of Physics 21 (9):1005-1019.
    The relativistic quantum mechanics with Lorentz-invariant evolution parameter and indefinite mass is a very elegant theory. But it cannot be derived by quantizing the usual classical relativity in which there is the mass-shell constraint. In this paper the classical theory is modified so that it remains Lorentz invariant, but the constraint disappears; mass is no longer fixed—it is an arbitrary constant of motion. The quantization of this unconstrained theory gives the relativistic quantum mechanics in which wave functions are localized and (...)
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  • Green's Functions for Off-Shell Electromagnetism and Spacelike Correlations.M. C. Land & L. P. Horwitz - 1991 - Foundations of Physics 21 (3):299-310.
    The requirement of gauge invariance for the Schwinger-DeWitt equations, interpreted as a manifestly covariant quantum theory for the evolution of a system in spacetime, implies the existence of a five-dimensional pre-Maxwell field on the manifold of spacetime and “proper time” τ. The Maxwell theory is contained in this theory; integration of the field equations over τ restores the Maxwell equations with the usual interpretation of the sources. Following Schwinger's techniques, we study the Green's functions for the five-dimensional hyperbolic field equations (...)
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  • Can One Have a Universal Time in General Relativity?Nathan Rosen - 1991 - Foundations of Physics 21 (4):459-472.
    The rest-frame of the universe determines a universal, or absolute time, that given by a clock at rest in it. The question is raised whether one can have a satisfactory universal time in general relativity if a gravitational field is present, i.e., whether there are coordinates such that the coordinate time is the time given everywhere by a clock at rest and they provide the correct description of our everyday experience. Several attempts are made to find such coordinates, but the (...)
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  • Review of Invariant Time Formulations of Relativistic Quantum Theories. [REVIEW]J. R. Fanchi - 1993 - Foundations of Physics 23 (3):487-548.
    The purpose of this paper is to review relativistic quantum theories with an invariant evolution parameter. Parametrized relativistic quantum theories (PRQT) have appeared under such names as constraint Hamiltonian dynamics, four-space formalism, indefinite mass, micrononcausal quantum theory, parametrized path integral formalism, relativistic dynamics, Schwinger proper time method, stochastic interpretation of quantum mechanics and stochastic quantization. The review focuses on the fundamental concepts underlying the theories. Similarities as well as differences are highlighted, and an extensive bibliography is provided.
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  • On the Definition and Evolution of States in Relativistic Classical and Quantum Mechanics.L. P. Horwitz - 1992 - Foundations of Physics 22 (3):421-450.
    Some of the problems associated with the construction of a manifestly covariant relativistic quantum theory are discussed. A resolution of this problem is given in terms of the off mass shell classical and quantum mechanics of Stueckelberg, Horwitz and Piron. This theory contains many questions of interpretation, reaching deeply into the notions of time, localizability and causality. A proper generalization of the Maxwell theory of electromagnetic interaction, required for the well-posed formulation of dynamical problems of systems with electromagnetic interaction is (...)
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  • On the Resolution of Time Problem in Quantum Gravity Induced From Unconstrained Membranes.Matej Pavšič - 1996 - Foundations of Physics 26 (2):159-195.
    The relativistic theory of unconstrained p-dimensional membranes (p-branes) is further developed and then applied to the embedding model of induced gravity. Space-time is considered as a 4-dimensional unconstrained membrane evolving in an N-dimensional embedding space. The parameter of evolution or the evolution time τ is a distinct concept from the coordinate time t=x0. Quantization of the theory is also discussed. A covariant functional Schrödinger equation has a solution for the wave functional such that it is sharply localized in a certain (...)
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