On an intrinsic quantum theoretical structure inside Einstein's gravity field equations

TL;DR

This paper explores a novel connection between Einstein's gravity field equations and quantum mechanics, revealing that a gauge-invariant Dirac equation can be derived from gravitational equations, suggesting a deeper intrinsic quantum structure.

Contribution

It demonstrates that Einstein's gravity equations contain an intrinsic quantum structure, specifically deriving a gauge-invariant Dirac equation from them, challenging traditional separations between gravity and quantum theory.

Findings

A quantum mechanical U(1) gauge invariant Dirac equation is derived from Einstein's gravity equations.

The results suggest a fundamental quantum structure within classical gravitational equations.

Implications for the foundations of physics and the unification of quantum mechanics and gravity.

Abstract

As is well known, Einstein was dissatisfied with the foundation of quantum theory and sought to find a basis for it that would have satisfied his need for a causal explanation. In this paper this abandoned idea is investigated. It is found that it is mathematically not dead at all. More in particular: a quantum mechanical U(1) gauge invariant Dirac equation can be derived from Einstein's gravity field equations. We ask ourselves what it means for physics, the history of physics and for the actual discussion on foundations.