The complementary group of proper motions of the Minkowski metric in an arbitrary dimension space

TL;DR

This paper identifies a new complementary group of proper motions for the Minkowski metric in noninertial reference frames across arbitrary dimensions, expanding the understanding of symmetries beyond the Poincare group.

Contribution

It introduces and characterizes a novel complementary group of proper motions for Minkowski space, extending symmetry analysis to noninertial frames in any dimension.

Findings

The Poincare group is not the sole group of proper motions for Minkowski space.

A new complementary group of proper motions has been identified.

This group applies to noninertial reference systems in arbitrary dimensions.

Abstract

It is shown that the Poincare group which is a semidirect product of the group of translations and the Lorentz group, is not a single physicaly important group of proper motions of Minkowski metric. The complementary group of proper motions of the metric in a class of noninertial reference system has been found.