Nonlocality and gravity-induced CP violation

TL;DR

This paper explores how gravity can induce CP violation through nonlocal effects arising from space-time dependent spinor phases, impacting black hole formation and information loss.

Contribution

It introduces a gravity-induced CP violation mechanism based on nonlocality from space-time dependent spinor phases, challenging traditional local quantum field theory assumptions.

Findings

Gravity induces nonlocality via spinor phase variations.

Gravity-induced CP violation can influence black hole information loss.

The mechanism links spinor representation properties to physical CP violation effects.

Abstract

We consider a space-time dependent relative phase between the right- and left-handed spinors and show that it results in a violation of locality in the presence of gravity once the demand of parity covariance is dropped. This violation of locality is such that it readily interprets itself as a gravity-induced CP violation, and at the same time confirms an earlier remark by Wigner that a representation space carries more information than a wave equation. This happens, as Kirchbach has noted, because while the dimensionality of an irreducible representation space does not depend upon the concrete realization of the symmetry generators, Noether currents (Dirac, versus Majorana, versus the CP violating construct presented here) do. The gravity-induced CP violation provides a dynamical reason on how a neutron star carrying its baryon and lepton numbers can collapse into a black hole and loose information on the latter characteristics.