On some fundamental problems of the theory of gravitation

TL;DR

This paper critically examines foundational issues in gravitational theory, emphasizing the relativity of space-time geometry and gauge transformations, suggesting potential revisions to Einstein's equations based on cosmological observations.

Contribution

It introduces two key considerations—relativity of space-time geometry and gauge invariance—that challenge and aim to revise the classical Einstein theory of gravitation.

Findings

Relativity of space-time geometry affects gravitational measurements.

Gauge transformations influence the formulation of gravitational field variables.

Potential need for revised gravitational equations based on cosmological data.

Abstract

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important issue that lead to a substantial revision of the theory are considered : 1. The significance of relativity of space-time geometry with respect to measuring instruments for theory of gravitation. 2. The gauge transformations of the field variables in correct theory of gravitation.