The Intrinsic Angular - Momentum of Particles and the Resolution of the Spin-Statistics Theorem

TL;DR

This paper introduces Weyl Integrable Quantum Mechanics as a new framework that naturally explains the spin-statistics connection through intrinsic angular momentum, resolving longstanding issues in standard quantum mechanics.

Contribution

It presents a complete formulation of quantum mechanics incorporating intrinsic helicity, providing a novel explanation for the spin-statistics relation and addressing the spin-s problem.

Findings

Weyl Integrable Quantum Mechanics reproduces standard quantum processes.

Intrinsic helicity explains the spin-statistics connection.

The theory offers a more complete quantum description including nonlocal correlations.

Abstract

The traditional Standard Quantum Mechanics (SQM) theory is unable to solve the Spin-s problem, i.e., to justify the utterly important "Pauli Exclusion Principle". A complete and straightforward solution of the Spin-Statistics problem is presented based on the "Weyl Integrable Quantum Mechanics" (WIQM) theory. This theory provides a Weyl-gauge invariant formulation of the Standard Quantum Mechanics and reproduces successfully, with no restrictions, the full set of the quantum mechanical processes, including the formulation of Dirac's or Schr\"{o}dinger's equation, of Heisenberg's uncertainty relations, and of the nonlocal EPR correlations. etc. When the Weyl Integrable Quantum Mechanics is applied to a system made of many identical particles with spin, an additional constant property of all elementary particles enters naturally into play: the "intrinsic helicity", or the "intrinsic angular - momentum". This additional particle property, not considered by Standard Quantum Mechanics, determines the correct Spin-Statistics Connection (SSC) observed in Nature. All this leads to the consideration of a novel, most complete (in the EPR sense) quantum mechanical theory.