Dynamical generation of space-time signature by spontaneous symmetry breaking

TL;DR

This paper explores how a Higgs mechanism in a two-time framework can dynamically generate and stabilize the 4-D space-time signature, allowing Lorentz invariance to be violated at small scales and restored at large scales.

Contribution

It introduces a novel approach to generate space-time signature dynamically through spontaneous symmetry breaking in a two-time scenario.

Findings

Space-time signature can be generated dynamically.

Lorentz invariance can be violated at small scales and restored at large scales.

The Higgs mechanism is used to stabilize the space-time signature.

Abstract

The problem of dynamical generation of 4-D space-time signature at small scales and its stabilization towards Lorentzian signature at large scales is studied in the context of Higgs mechanism in a two-time scenario. It is also shown that Lorentz invariance at small scales can be violated but at large space-time scales is restored.