Relevance of stochasticity for the emergence of quantization

TL;DR

This paper explores how stochastic processes and diffusion contribute to the emergence of quantum behavior from classical systems influenced by a stochastic background, highlighting the role of stochasticity in quantization.

Contribution

It advances understanding of the connection between stochastic quantum mechanics and stochastic electrodynamics, emphasizing stochasticity's role in the transition to quantum regimes.

Findings

Stochasticity and diffusion are key in transitioning from classical to quantum behavior.

Quantum-like phenomena can emerge in mechanical systems with oscillating stochastic backgrounds.

The work suggests a broader context where quantization arises under stochastic influences.

Abstract

The theories of stochastic quantum mechanics and stochastic electrodynamics bring to light important aspects of the quantum dynamics that are concealed in the standard formalism. Here we take further previous work regarding the connection between the two theories, to exhibit the role of stochasticity and diffusion in the process leading from the originally classical+zpf regime to the quantum regime. Quantumlike phenomena present in other instances in which a mechanical system is subject to an appropriate oscillating background that introduces stochasticity, may point to a more general appearance of quantization under such circumstances.