# Statistical Origin of Quantum Mechanics

Source: [Statistical Origin of Quantum Mechanics](<https://www.sota2.com/research/paper/68fa25942c2a3760193b1abc>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:49:15.477Z

Authors: G. Kaniadakis

Published: 2001-12-10T16:55:59.000Z

## Abstract

The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent scheme of a classical kinetics, allows us: i) to obtain the probabilistic nature of the quantum description and to interpret the wave function $\\psi$ according to the Copenhagen school; ii) to derive the quantum potential and then the Schr\\"odinger equation; iii) to calculate the values of the physical observables as mean values of the associated quantum operators; iv) to obtain the Heisenberg uncertainty principle.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/quant-ph/0112049>)

[PDF](<https://arxiv.org/pdf/quant-ph/0112049.pdf>)