The Past-Completeness Theorem

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Simon F. Gates
DOI: 10.5281/zenodo.18472917
Cited by: 0

Abstract

This theorem proves that homogeneous–isotropic classical gravity cannot admit a finite-time past boundary while remaining admissible under closure. Finite-time singular origins are shown to be structurally incompatible with conserved quadratic closure once symmetry exhausts all functional freedom. The result is classificatory and does not rely on specific cosmological dynamics, matter models, or energy conditions.

Fields of Study & Subjects

Cosmology and Gravitation Theories Relativity and Gravitational Theory Advanced Differential Geometry Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
3 February 2026
Language
EN
Document type
Preprint