Classical variational basis for Schrödinger quantum theory

Classical variational basis for Schrödinger quantum theory

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Article ID: iaor1990581
Country: United States
Volume: 1
Start Page Number: 1
End Page Number: 7
Publication Date: May 1988
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
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.

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