Recent CMB observations enable to find the total gravitational energy of a mass

TL;DR

This paper proposes a method to estimate the total gravitational energy of a mass in the universe using recent CMB observations, finding it close to the body's rest energy, within a Newtonian framework.

Contribution

It introduces a novel approach to calculate the universe's total gravitational energy of a mass based on CMB data and flat universe assumptions, linking it to rest energy.

Findings

Total gravitational energy is approximately equal to rest energy m*c^2.

Gravitational potential at any point is close to -c^2.

Universe's flat geometry allows Newtonian calculations of gravitational energy.

Abstract

The astronomical observations indicate that the universe expands with acceleration and it has a finite event horizon. The recent CMB observations confirm the universe is homogeneous, isotropic and asymptotically flat. The total gravitational energy of a body having mass m is the gravitational potential energy originating from the gravitational interaction of the body with all masses of the universe, within the event horizon. The flat geometry of the universe enables to determine the total gravitational energy of the mass m within the framework of the Newtonian gravity in Euclidean space. By this approach, it has been found the modulus of the total gravitational energy of a body is close to its rest energy E = m*c^2, which is a remarkable result. Besides, the smoothed gravitational potential in an arbitrary point of the observable universe appears close to - c^2, where c is the speed of the light.