Quantum mechanics is the square root of a stochastic process
Mathematical Physics
2012-01-31 v2 math.MP
Quantum Physics
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. Schr\"odinger equation is immediately derived without further assumptions using It\=o 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.
Cite
@article{arxiv.1201.5091,
title = {Quantum mechanics is the square root of a stochastic process},
author = {Marco Frasca},
journal= {arXiv preprint arXiv:1201.5091},
year = {2012}
}
Comments
4 pages, no figure. Extended mathematics to fix a problem in the definition of Ito integrals