International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 1988 / Article

Open Access

Volume 1 |Article ID 427372 | https://doi.org/10.1155/S1048953388000218

James G. Gilson, "Classical variational basis for Schrödinger quantum theory", International Journal of Stochastic Analysis, vol. 1, Article ID 427372, 17 pages, 1988. https://doi.org/10.1155/S1048953388000218

Classical variational basis for Schrödinger quantum theory

Received03 Jun 1988
Revised03 Nov 1988
Accepted03 Nov 1988

Abstract

A two-dimensional classical hyperspace fluid theory of the vacuum which is an alternative to Schrödinger quantum theory involves a “stirring” energy density. This energy density, like entropy density, measures the local “disturbance” involved by the time evolution of a state of the system. The stirring energy density is shown to be the local source term for the rate of generation of action density with time. A classical fluid action principle is solved using the “action” of this source term without assuming quantum time evolution. Schrödinger quantum theory is recovered from this new action principle which is then discussed. Finally, the quantity made stationary by the variational principle measures disturbance in the environment as an angular change in the orientation of the whole system.

Copyright © 1988 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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