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
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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