## Stochastic Space-Time and Quantum Theory: Part a

**Authors:** Carlton Frederick

Abstract Much of quantum mechanics may be derived if one adopts a very strong form of Mach's Principle, requiring 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 derive the uncertainty principle. Finally, the superposition of stochastic metrics and the identification of the square root of minus the determinant of the metric tensor as the indicator of relative probability yields the phenomenon of interference, as will be described for the two-slit experiment.

**Comments:** 11 Pages.

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### Submission history

[v1] 2018-11-29 19:02:08

[v2] 2018-11-30 08:37:57

[v3] 2018-12-02 08:34:19

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