Information and Particle Physics

TL;DR

This paper develops information measures for relativistic quantum spinors, leading to nonlinear, Lorentz-violating evolution equations that have implications for neutrino physics and cosmology.

Contribution

It introduces new information measures for relativistic quantum spinors and derives nonlinear, Lorentz-violating evolution equations within a maximum uncertainty framework.

Findings

Derived nonlinear evolution equations violate Lorentz invariance.

Equations break discrete symmetries.

Implications for neutrino physics and cosmology.

Abstract

Information measures for relativistic quantum spinors are constructed to satisfy various postulated properties such as normalisation invariance and positivity. Those measures are then used to motivate generalised Lagrangians meant to probe shorter distance physics within the maximum uncertainty framework. The modified evolution equations that follow are necessarily nonlinear and simultaneously violate Lorentz invariance, supporting previous heuristic arguments linking quantum nonlinearity with Lorentz violation. The nonlinear equations also break discrete symmetries. We discuss the implications of our results for physics in the neutrino sector and cosmology.