CPTM discrete symmetry, quantum wormholes and cosmological constant problem

TL;DR

This paper explores how extended CPTM symmetry in a multi-region spacetime framework influences the vacuum energy and cosmological constant, proposing a model where quantum non-local interactions determine the constant's value.

Contribution

It introduces a novel approach linking CPTM symmetry with quantum non-locality and bimetric gravity to address the cosmological constant problem.

Findings

Cosmological constant arises from gravitational interactions between separated spacetime regions.

The value of the constant depends on the geometry of quantum vertices.

Model suggests a connection to bimetric theories of gravity.

Abstract

We discuss the consequences of the charge, parity, time and mass (CPTM) extended reversal symmetry for the problems of the vacuum energy density and value of the cosmological constant. The results obtained are based on the framework with the separation of extended space-time of the interest on the different regions connected by this symmetry with the action of the theory valid for the full space-time and symmetrical with respect to the extended CPTM transformations. The cosmological constant is arising in the model due the gravitational interactions between the different parts of the space-time trough the quantum non-local vertices. It is proposed that the constant's value depends on the form and geometry of the vertices which glue the separated parts of the extended solution of Einstein equations determining in turn it's classical geometry. The similarity of the proposed model to the bimetric theories of gravitation is also discussed.