Induced Matter Theory & Heisenberg-like Uncertainty Relations

TL;DR

This paper demonstrates that a form of the Heisenberg uncertainty principle naturally arises within induced matter theory, linking geometric line elements in momentum and spacetime.

Contribution

It introduces a differential variant of the uncertainty relations derived from the geometric framework of induced matter theory.

Findings

Heisenberg-like relations emerge from geometric considerations

Uncertainty relations are expressed as sums of line elements in momentum and Minkowski spaces

Provides a geometric foundation for quantum uncertainty principles

Abstract

We show that a differential variant of the Heisenberg uncertainty relations emerges naturally from induced matter theory, as a sum of line elements in both momentum and Minkowski spaces.