Quantum Behavior in Machian Model

TL;DR

This paper derives key quantum mechanics concepts, including the Schrödinger equation and Planck constant, from classical statistical mechanics within a non-local Machian model, linking quantum phenomena to classical origins.

Contribution

It introduces a novel derivation of quantum theory elements from a classical non-local Machian framework, emphasizing the role of symmetry and quantization.

Findings

Quantum theory elements derived from classical mechanics

Connection between complex wave functions and quantization

Role of Galilean symmetry in quantum behavior

Abstract

The essentials of quantum theory, the Schr\"odinger equation and the Planck constant, are derived using classical statistical mechanics within the non-local Machan model. The appearance of complex wave function is connected with the necessity of quantization condition when one neglects the existence of the preferred frame and assumes Galilean symmetry of the model.