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Switch to: Citations
References in:
Consistent Histories of Systems and Measurements in Spacetime
Foundations of Physics 41 (7):1163-1192 (2011)
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This paper describes how the entire universe might be considered an eigenstate determined by classical limiting conditions within it. This description is in the context of an approach in which the path of each relativistic particle in spacetime represents a fine-grained history for that particle, and a path integral represents a coarse-grained history as a superposition of paths meeting some criteria. Since spacetime paths are parametrized by an invariant parameter, not time, histories based on such paths do not evolve in (...) |
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Recently, W. H. Zurek presented a novel derivation of the Born rule based on a mechanism termed environment-assisted invariance, or “envariance” [W. H. Zurek, Phys. Rev. Lett. 90(2), 120404 (2003)]. We review this approach and identify fundamental assumptions that have implicitly entered into it, emphasizing issues that any such derivation is likely to face. |
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I Physics of Information Information, Physics, Quantum: The Search for Links John Archibald Wheeler Information from Quantum Measurements Benjamin Schumacher Local Accessibility of Quantum States William K. Wootters The Entropy of Black Holes V. F. Mukhanov Some Simple Consequences of the Loss of Information in a Spacetime with a Horizon Shin Takagi Why is the Physical World so Comprehensible? P. C. W. Davies II Laws of Physics and Laws of Computation Algorithmic Information Content, Church-Turing Thesis, Physical Entropy, and Maxwell’s Demon (...) |
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A relativistic one-particle, quantum theory for spin-zero particles is constructed uponL 2(x, ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger equation having a Hermitian HamiltonianH onL 2(x, ct) for an arbitrary four-vector potential is derived. In this formalism the rest mass is an observable and a scalar particle is described by a wave packet that is a superposition of mass states. The requirements of macroscopic causality are shown to be satisfied by the most probable trajectory of (...) |
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The complexity of the field theoretic methods used for analyzing relativistic bound state problems has forced researchers to look for simpler computational methods. Simpler methods such as the relativistic harmonic oscillator method employed in the description of extended hadrons have been investigated. They are considered phenomenological, however, because they lack a theoretical basis. A probabilistic basis for these methods is presented here in terms of the four-space formulation of relativistic quantum mechanics (FSF). The single-particle FSF is reviewed and its physical (...) |
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