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arXiv · 1201.5091

Quantum mechanics is the square root of a stochastic process

Marco Frasca
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Abstract

We prove a theorem showing that quantum mechanics is not directly a stochastic process characterizing Brownian motion but rather its square root. This implies that a complex-valued stochastic process is involved. Schrödinger equation is immediately derived without further assumptions using Itō integrals that are properly generalized. Fluctuations in space arise from a Brownian motion and the combined effect of a stochastic process with a symmetric Bernoulli distribution typical of tossing a coin.

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Marco Frasca. 2012-01-29. Quantum mechanics is the square root of a stochastic process. https://arxiv.org/abs/1201.5091

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