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 that glue the separated parts of the extended solution of Einstein equations determining, in turn, its classical geometry. The similarity of the proposed model to the bimetric theories of gravitation is also discussed.
Highlights
In this note, we consider the consequences of some extended discrete reversal charge, parity, time and mass (CPTM) symmetry in application to the field theory and general relativity
We considered the possible application of the reversal extended CPTM symmetry of the extended space-time solutions of Einstein equations to the resolution of the cosmological constant problem
The model is initially free from the problems of zero vacuum energy and baryon asymmetry, it describes maximally symmetrical
Summary
We consider the consequences of some extended discrete reversal charge, parity, time and mass (CPTM) symmetry in application to the field theory and general relativity. The extended CPTM transform, in this case, inverses the sign of these coordinates and relates the different regions of the extended solution preserving the form of the metric unchanged, see [3] for the case of Schwarzschild’s spacetime and the similar description of the Reissner–Nordtröm space-time in [4,5], for example This is a main difference of the proposed transform from the usual CPT one which operates with the quantities defined in the same manifold. The construction proposed in the note is a dynamical one, the classical dynamics of each metric of separated manifolds is affected by their mutual interactions, even in the absence of the other fields In this case, the cosmological constant is arising in the equations as a result of the mutual influence of the different part of the general manifold by the gravitation forces, these issues are discussed in the Sections 2 and 3. The last section of the note is conclusions, where the main results are summarized and discussed
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