Journal ArticleDOI
Theory of Particles with Variable Mass. I. Formalism
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The equivalence principle as discussed by the authors allows one to set up a classical formalism with the proper time as an extra degree of freedom, independent of the coordinate time, and with an immediate physical interpretation.Abstract:
The equivalence principle (through the mechanism of the gravitational red shift) allows one to set up a classical formalism with the proper time as an extra degree of freedom, independent of the coordinate time, and with an immediate physical interpretation. Then proper time and mass occur as conjugate variables in a canonical formalism, leading to a gravitational theory of particles with variable mass. The nonrelativistic theory and a relativistic vector theory of gravity are described as models. The theory is capable of providing a dynamical framework for cosmological models with the creation of matter. Some simple examples are discussed, including the steady‐state universe with continuous creation, where the correct relation between the density of matter and the Hubble constant appears automatically, with no free parameters.read more
Citations
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Quantum interferometric visibility as a witness of general relativistic proper time
TL;DR: This work considers interference of a 'clock'—a particle with evolving internal degrees of freedom—that will not only display a phase shift, but also reduce the visibility of the interference pattern, which would provide the first test of the genuine general relativity notion of proper time in quantum mechanics.
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Review of invariant time formulations of relativistic quantum theories
TL;DR: In this paper, a review of relativistic quantum theories with an invariant evolution parameter is presented, focusing on the fundamental concepts underlying the theories, and an extensive bibliography is provided.
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Inadequacy of the usual Galilean transformation in quantum mechanics.
TL;DR: The superselection rule in the Galilean transformation, forbidding the superposition of states of different mass, is shown to be inconsistent with the nonrelativistic limit of the Lorentz transformation.
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Scalar time parametrization of relativistic quantum mechanics: The covariant Schrödinger formalism
TL;DR: In this paper, a covariant Schrodinger formalism is proposed for relativistic quantum field theory, which can be interpreted as a consequence of a space-time metric fluctuation and can be related to mass ensemble theories.
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Some useful properties of a theory of variable mass particles
TL;DR: In this paper, a simple extension of the canonical formalism, one can include mass and proper time as dynamical variables in mechanics, allowing one to treat particles with variable mass and also classically decaying particles.
References
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Journal ArticleDOI
The classical theory of fields
TL;DR: The principle of relativity Relativistic mechanics Electromagnetic fields electromagnetic waves as discussed by the authors The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a gravitational field The gravitational field equation
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Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen Ning Yang,Robert L. Mills +1 more
TL;DR: In this article, it was pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields, and the possibility of having invariance in local isotope spin rotations was explored.
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The Classical Theory of fields. By L. Landau and E. Lifshitz. Translated from the Russian edition of 1948 by M. Hamermesh. Pp. ix, 354. $7.50.(Addison-Wesley Press, Cambridge, Mass.)
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Invariant theoretical interpretation of interaction
TL;DR: In this paper, a general rule is obtained for introducing a new field in a definite way with a definite type of interaction with the original fields by postulating the invariance of these systems under a wider group derived by replacing the parameters of the original group with a set of arbitrary functions.