Quantum Mechanics from Stochastic Processes

• URL: http://arxiv.org/abs/2304.07524v2
• Date: Tue, 13 Jun 2023 08:38:22 GMT
• Title: Quantum Mechanics from Stochastic Processes
• Authors: Folkert Kuipers
• Abstract summary: We construct an explicit one-to-one correspondence between non-relativistic processes and solutions of the Schrodinger equation. The existence of this equivalence suggests that the Lorentzian path can be defined as an Ito integral, similar to the Euclidean path in terms of the Wiener integral.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We construct an explicit one-to-one correspondence between non-relativistic stochastic processes and solutions of the Schrodinger equation and between relativistic stochastic processes and solutions of the Klein-Gordon equation. The existence of this equivalence suggests that the Lorentzian path integral can be defined as an Ito integral, similar to the definition of the Euclidean path integral in terms of the Wiener integral. Moreover, the result implies a stochastic interpretation of quantum theories.

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