Signature change, vacuum condensation and cosmological constant

TL;DR

This paper introduces a duality symmetry model involving a scalar field and metric signature change, suggesting vacuum condensation of a Higgs-like field influences the cosmological constant.

Contribution

It proposes a novel duality symmetry framework incorporating metric signature change and vacuum condensation effects on cosmological constant.

Findings

Vacuum condensation occurs during signature change from Euclidean to Lorentzian.

The Higgs-like field potential acts as an order parameter for signature transition.

Higgs field excitations may contribute to the observed cosmological constant.

Abstract

We proposes an alternative model of duality symmetry, based on the previously obtained divergence theory, including an scalar field, an internal vector and a metric signature. At some small scale an effective scalar field equation has appeared whose potential acts like a Higgs one, where the metric signature plays the role of an order parameter. Non-vanishing Vacuum condensation of this Higgs field occurs once a signature change from Euclidean to Lorentzian is formed. The mass scale of Higgs field excitations around this vacuum may contribute, in the Lorentzian sector, to the cosmological constant, in agreement with observations.