Abstract
One develops a theory which relates to the conventional quantum mechanics in the same way, as the statistical physics relates to the axiomatic thermodynamics. Quantum effects are shown to be a result of some spacetime deformation (distortion) which converts one-dimensional world lines of free pointlike particles into three-dimensional world tubes. The world tubes are random, and their thickness is determined by the Planck constant describing the distortion magnitude. A statistical description of the world tubes in the associated Minkowski spacetime is equivalent to the quantum description (Schrödinger equation). Application of the statistical description to the dynamic system described by the Pauli equation shows that the electron spin has a classical analog, which is a collective property of the statistical ensemble of electrons (not a property of a single electron).
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Yu.A. Rylov, J. Math. Phys. 31, 2876 (1990).
Yu.A. Rylov, J. Math. Phys. 33, 4220 (1992).
Yu.A. Rylov, J. Math. Phys. 32, 2092 (1991).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag
About this paper
Cite this paper
Rylov, Y.A. (1995). Spacetime distortion as a reason for quantum stochasticity. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_79
Download citation
DOI: https://doi.org/10.1007/3-540-60188-0_79
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60188-3
Online ISBN: 978-3-540-44722-1
eBook Packages: Springer Book Archive