Entwined pairs and Schrödinger’s equation. (English) Zbl 1037.81032
Summary: We show that a point particle moving in space–time on entwined-pair paths generates Schrödinger’s equation in a static potential in the appropriate continuum limit. This provides a new realistic context for the Schrödinger equation within the domain of classical stochastic processes. It also suggests that ‘self-quantizing’ systems may provide considerable insight into conventional quantum mechanics.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81P20 | Stochastic mechanics (including stochastic electrodynamics) |
| 81R30 | Coherent states |
| 81S20 | Stochastic quantization |
Keywords:
classical stochastic processesReferences:
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