On multitemporal generalization of Newton's gravitational law

TL;DR

This paper proposes a multitemporal generalization of Newton's gravitational law in higher-dimensional space-time, suggesting a new relation for the effective gravitational constant based on the angle between particle motions.

Contribution

It introduces a conjectured n-time generalization of Newton's law in N-dimensional space-time, linking effective gravitational constant to particle motion angles.

Findings

Derived a relation G_{eff} = G cos^2 θ for effective gravitational constant.

Proposed a new framework for gravity in higher-dimensional space-time.

Connected particle motion in n-dimensional time to gravitational interactions.

Abstract

A n-time generalization of Newton's law (of universal gravitation) formula in N =n + d + 1-dimensional space-time is conjectured. This formula implies a relation for effective N-dimensional gravitational constant G_{eff} = G cos^2 \theta, where \theta is the angle between the direction of motion of two particles in n-dimensional time manifold R^n.