Foundations of Physics

Subject:: Physics and Astronomy (miscellaneous)
Publisher:: Kluwer Academic Publishers-Plenum Publishers — Springer Journals
ISSN:: 0015-9018
Scimago Journal Rank:: 56

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Localization of gravitational energy

Rosen, Nathan

2004 Foundations of Physics

doi: 10.1007/BF00732842pmid: N/A

In the general relativity theory gravitational energy-momentum density is usually described by a pseudo-tensor with strange transformation properties so that one does not have localization of gravitational energy. It is proposed to set up a gravitational energy-momentum density tensor having a unique form in a given coordinate system by making use of a bimetric formalism. Two versions are considered: (1) a bimetric theory with a flat-space background metric which retains the physics of the general relativity theory and (2) one with a background corresponding to a space of constant curvature which introduces modifications into general relativity under certain conditions. The gravitational energy density in the case of the Schwarzschild solution is obtained.

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Bayes' rule and hidden variables

Gudder, Stanley; Armstrong, Thomas

2004 Foundations of Physics

doi: 10.1007/BF00732843pmid: N/A

We show that a quantum system admits hidden variables if and only if there is a rich set of states which satisfy a Bayesian rule. The result is proved using a relationship between Bayesian type states and dispersion-free states. Various examples are presented. In particular, it is shown that for classical systems every state is Bayesian and for traditional Hilbert space quantum systems no state is Bayesian.

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Field theory onR×S 3 topology. III: The Dirac equation

Carmeli, M.; Malin, S.

2004 Foundations of Physics

doi: 10.1007/BF00732844pmid: N/A

A Dirac-type equation on R×S 3 topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schrödinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU 2 . Finally, the properties of the solutions are discussed.

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Time-dependent neutron interferometry: Evidence against wave packet collapse?

Dewdney, C.; Garuccio, A.; Gueret, Ph.; Kyprianidis, A.; Vigier, J.

2004 Foundations of Physics

doi: 10.1007/BF00732845pmid: N/A

If the energy-absorbing radio-frequency spin-flipping device used in perfect crystal neutron interferometry is an intermediate measuring device, then the experimental results contradict the associated wave packet collapse and support the real existence of the de Broglie pilot waves in both arms while the neutron travels in only one.

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A new approach to the Einstein-Podolsky-Rosen paradox

Kaufherr, Tirzah

2004 Foundations of Physics

doi: 10.1007/BF00732846pmid: N/A

Some new aspects of the EPR paradox are considered. We first show that the authors' argument, leading to the conclusion that quantum theory is incomplete, is based on a tacit assumption that may be questioned. We then investigate the non-local features of the EPR setup and point out an interesting connection between the nonlocality involved in the quantum correlations of pairs of particles and that of a single particle in quantum theory.

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Book review

Johnson, G.

2004 Foundations of Physics

doi: 10.1007/BF00732847pmid: N/A

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Book review

Newman, E.

2004 Foundations of Physics

doi: 10.1007/BF00732848pmid: N/A