Bosons, Fermions, Spin, Gravity, and the Spin-Statistics Connection

TL;DR

This paper explores the fundamental connection between particle spin and quantum statistics, proposing that gravity on a cosmic scale may hold the key to understanding why bosons and fermions behave differently.

Contribution

It suggests a novel perspective linking the spin-statistics connection to gravitational effects in the universe, aiming to uncover the physical reason behind this fundamental quantum principle.

Findings

Highlights the role of gravity in the spin-statistics relationship

Proposes a new approach to understanding quantum particle behavior

Connects cosmic-scale gravity to quantum statistical differences

Abstract

Satyendra Nath Bose's attempt to describe the quantum statistical aspects of light consistently in terms of particles, and Einstein's generalisation, lead to the concept of Bosons as a class of quanta obeying `Bose-Einstein statistics'. Their identity as a class came in sharp contrast when the Pauli exclusion principle and the Dirac equation revealed the other class called Fermions, obeying `Fermi-Dirac statistics'. Spin, and spin alone, is the determining factor of the multiparticle behaviour of fundamental quanta. This is the basis of the Spin-Statistics Connection. While it is known that the overall theoretical picture is consistent, the physical reason for the connection is unknown. Further, the class difference is sensitive only to the total spin in a quantum aggregate, as spectacularly seen in superconductivity and superfluidity, and in the Bose-Einstein condensation of neutral atomic gas. Can we grasp the true reason behind the difference in the collective behaviour of Bosons and Fermions? An explorer's journey demanding logical and physical consistency of what we already know takes us to the hidden factors in the relation between spin and the statistics of quanta. The surprising answer is in the domain of gravity, that too, on a cosmic scale.