Pseudo-complex General Relativity

TL;DR

This paper proposes a pseudo-complex extension of General Relativity using dual metrics, leading to a singularity-free Schwarzschild solution with a minimal radius, impacting redshift predictions and observational signatures.

Contribution

It introduces a novel pseudo-complex framework for General Relativity, resulting in a non-singular Schwarzschild solution with potential observational implications.

Findings

Singularity is removed in the pseudo-complex Schwarzschild solution.

A minimal radius for massive objects is derived.

Implications for redshift and observational signatures are discussed.

Abstract

An extension of the theory of General Relativity is proposed, based on pseudo-complex space-time coordinates. The new theory corresponds to the introduction of two, in general different, metrics which are connected through specific conditions. A pseudo-complex Schwarzschild solution is constructed, which does not suffer any more by a singularity. The solution indicates a minimal radius for a heavy mass object. Consequences for the redshift and possible signatures for its observation are discussed.