A classical fermionic system that follows the fundamental rules of Quantum Mechanics

TL;DR

This paper demonstrates that fundamental quantum mechanical rules can be derived from a classical Hamilton-Jacobi approach applied to a two-fermion system, revealing primitive spin and zitterbewegung phenomena.

Contribution

It introduces a classical Hamilton-Jacobi framework that reproduces core quantum rules using a simple two-fermion model, offering new insights into quantum behavior from classical principles.

Findings

Derivation of quantum rules from classical Hamilton-Jacobi formalism

Identification of primitive spin and zitterbewegung in the model

Revealing classical origins of quantum phenomena

Abstract

It is feasible to obtain any basic rule of the already known Quantum Mechanics applying the Hamilton-Jacobi formalism to an interacting system of 2 fermionic degrees of freedom. The interaction between those fermionic variables unveils also a primitive spin and zitterbewegung.