Stochastic space-time and quantum theory

Carlton Frederick
Phys. Rev. D 13, 3183 – Published 15 June 1976
PDFExport Citation

Abstract

Much of quantum mechanics may be derived if one adopts a very strong form of Mach's principle such that in the absence of mass, space-time becomes not flat but stochastic. This is manifested in the metric tensor which is considered to be a collection of stochastic variables. The stochastic-metric assumption is sufficient to generate the spread of the wave packet in empty space. If one further notes that all observations of dynamical variables in the laboratory frame are contravariant components of tensors, and if one assumes that a Lagrangian can be constructed, then one can obtain an explanation of conjugate variables and also a derivation of the uncertainty principle. Finally, the superposition of stochastic metrics and the identification of g in the four-dimensional invariant volume element gdV as the indicator of relative probability yields the phenomenon of interference as will be described for the two-slit experiment.

  • Received 9 June 1975

DOI:https://doi.org/10.1103/PhysRevD.13.3183

©1976 American Physical Society

Authors & Affiliations

Carlton Frederick

  • Central Research Group, Box 31, Ithaca, New York 14850

References (Subscription Required)

Click to Expand
Issue

Vol. 13, Iss. 12 — 15 June 1976

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×