Hamiltonian General Relativity in CMB frame

TL;DR

This paper discusses the requirements for General Relativity derived from WMAP observations, focusing on the CMB frame, Hamiltonian formulation, and implications for classical and quantum Einstein--Hilbert theories.

Contribution

It introduces a framework for separating the CMB frame from diffeomorphisms within the Hamiltonian approach to General Relativity, incorporating recent observational data.

Findings

Separation of CMB frame from diffeomorphisms

Compatibility of cosmic evolution with Hamiltonian constraints

Fit of measurement units with Supernovae data

Abstract

A collection of requirements to the General Relativity that follow from the WMAP observations of the Cosmic Microwave Background radiation anisotropy as an inertial frame are discussed. These obligations include the separation of both the CMB frame from the diffeomorphisms and the diffeo-invariant cosmic evolution from the local scalar metric component in the manner compatible with the canonical Hamiltonian approach to the Einstein--Hilbert theory with the energy constraints. The solution of these constraints in classical and quantum theories and a fit of units of measurements are discussed in the light of the last Supernovae data.