Gravity sans singularities

TL;DR

This paper explores the foundational aspects and limitations of singularity theorems in gravity, proposing mechanisms involving higher dimensions and energy definitions to prevent singularities.

Contribution

It introduces new conceptual mechanisms based on higher dimensions and energy definitions to resolve singularities in gravitational theories.

Findings

Mechanisms involving higher dimensions can prevent singularities.

Arbitrariness in energy definition is key to avoiding singularities.

Singularity resolution is linked to the self-consistency of gravitational systems.

Abstract

Basis and limitations of singularity theorems for Gravity are examined. As singularity is a critical situation in course of time, study of time paths, in full generality of Equivalence principle, provides two mechanisms to prevent singularity. Resolution of singular Time translation generators into space of its orbits, and essential higher dimensions for Relativistic particle interactions has facets to resolve any real singularity problem. Conceptually, these varied viewpoints have a common denominator: arbitrariness in the definition of `energy' intrinsic to the space of operation in each case, so as to render absence of singularity a tautology for self-consistency of the systems.