Connecting Two Stochastic Theories That Lead to Quantum Mechanics

The connection is established between two theories that have developed independently with the aim to describe quantum mechanics as a stochastic process, namely stochastic quantum mechanics (sqm) and stochastic electrodynamics (sed). Important commonalities and complementarities between the two theor...

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Bibliographic Details
Main Authors: Luis de la Peña, Ana María Cetto, Andrea Valdés-Hernández
Format: Article
Language:English
Published: Frontiers Media S.A. 2020-05-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2020.00162/full
Description
Summary:The connection is established between two theories that have developed independently with the aim to describe quantum mechanics as a stochastic process, namely stochastic quantum mechanics (sqm) and stochastic electrodynamics (sed). Important commonalities and complementarities between the two theories are identified, notwithstanding their dissimilar origins and approaches. Further, the dynamical equation of sqm is completed with the radiation terms that are an integral element in sed. The central problem of the transition to the quantum dynamics is addressed, pointing to the key role of diffusion in the emergence of quantization.
ISSN:2296-424X