Conformal Hamiltonian Dynamics of General Relativity
A.B. Arbuzov, B.M. Barbashov, R.G. Nazmitdinov, V.N. Pervushin, A., Borowiec, K.N. Pichugin, A.F. Zakharov
TL;DR
This paper explores a conformal Hamiltonian approach to General Relativity, linking vacuum matter creation during the electroweak epoch to dilaton vacuum energy as a dark energy candidate.
Contribution
It introduces a novel conformal Hamiltonian formulation of General Relativity using spin connection coefficients and a Dirac scalar dilaton, connecting cosmological phenomena.
Findings
Vacuum creation of matter during the electroweak epoch
Dilaton vacuum energy as a dark energy component
Redshift evolution described by the conformal Hamiltonian framework
Abstract
The General Relativity formulated with the aid of the spin connection coefficients is considered in the finite space geometry of similarity with the Dirac scalar dilaton. We show that the redshift evolution of the General Relativity describes the vacuum creation of the matter in the empty Universe at the electroweak epoch and the dilaton vacuum energy plays a role of the dark energy.
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