The geometry of the space-time and motion of the spinning bodies

TL;DR

This paper proposes an alternative 3+3+3-dimensional space-time model incorporating 3D time and space, analyzing spinning bodies and gravitational effects, leading to insights on violations of classical Newtonian laws.

Contribution

It introduces a novel 3+3+3-dimensional space-time framework with independent spatial and rotational spaces, and explores their implications for spinning bodies and gravity.

Findings

Model based on Lie groups of orthogonal matrices in 3+3+3 space

Spinning bodies exhibit precession and gravitational effects within this framework

Violations of Newton's third law are naturally explained

Abstract

In this paper an alternative theory about space-time is given. First some preliminaries about 3-dimensional time and the reasons for its introduction are presented. Alongside the 3-dimensional space (S) the 3-dimensional space of spatial rotations (SR) is considered independently from the 3-dimensional space. Then it is given a model of the universe, based on the Lie groups of real and complex orthogonal 3x3 matrices in this 3+3+3-dimensional space. Special attention is dedicated for introduction and study of the space SxSR, which appears to be isomorphic to SO(3,R)xSO(3,R) or S^3xS^3. The influence of the gravitational acceleration to the spinning bodies is considered. Some important applications of these results about spinning bodies are given, which naturally lead to violation of Newton's third law in its classical formulation. The precession of the spinning axis is also considered.