Energy in Theory of Gravity and Essence of Time

TL;DR

This paper introduces a scalar temporal field as an internal property of physical systems, providing a new perspective on energy in gravity, deriving electromagnetic laws from geometry, and obtaining solutions like Schwarzschild in a covariant framework.

Contribution

It proposes a novel concept of internal time as a scalar field, enabling derivation of electromagnetic and gravitational laws directly from geometrical equations.

Findings

Derivation of Maxwell equations from geometrical laws of the electromagnetic field.

Resolution of the energy problem in General Relativity using the temporal field.

Obtained solutions including the Schwarzschild solution within this framework.

Abstract

In the framework of the field theory it is shown that a time (viewed as a scalar temporal field) is an internal property of the physical system, which defines its causal structure and evolution. A new concept of internal time allows to solve the energy problem in General Relativity and predicts the existence of matter outside the time. It is demonstrated that introduction of the temporal field permits to derive the physical laws of the electromagnetic field(the general covariant four dimensional Maxwell equations for the electric and magnetic fields) from the geometrical equations of this field. It means that the fundamental physical laws are in full correspondence with the essence of time. On this ground, from the geometrical laws of the gravitational field the physical evolution equations of this field are derived. Two characteristic solutions of these equations are obtained (including the Schwarzschild solution).