The Big Bang May Never Have Been the Beginning

Natural Evolution of Actuality (NEA) begins with two independently lawful, abstract parental responsibilities (M and F) and a foundational principle (Omega) of consequential joining, comparison, and confirmation, rather than assuming primordial spacetime exists at the outset. A previously established Omega-limit construction selects an autonomous, finite-capacity network action whose zero-energy trajectory follows a smooth, bell-shaped density profile, representing the ratio of active network capacity to its maximum limit. This trajectory reaches a single, regular peak at the origin and never drops to zero at any finite stage of progression. We rederive this foundational result and examine the specific four-dimensional, flat Lorentzian spacetime geometry it selects, which is characterized by a constant cell volume and a scale factor proportional to the cube root of the network's relative density. In an exploratory mathematical extension, we calculate the exact Ricci and Kretschmann curvature invariants and prove that this smooth spacetime is geodesically complete for both light rays and massive particles. Its curvature invariants remain finite at every finite point in its progression and fade away toward both asymptotic extremes, while the full past conformal-time integral diverges. Consequently, the model allows for an infinitely extended past without requiring an initial singularity at a finite point. We also determine the exact expansion-rate curve and its peak value, and we reconstruct the underlying theory's separately selected orientation and chirality interface, branch-covariant response, and append-only History. Throughout this analysis, we maintain a clear distinction between a mathematical continuation, a physical pre-metric origin, and the observed thermal Big Bang. Ultimately, this work establishes a conditional existence theorem for a past-complete geometric realization compatible with NEA.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24130006
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

The Big Bang May Never Have Been the Beginning

Darren Jeffers
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Big Bang May Never Have Been the Beginning

Darren Jeffers
preprint en

Abstract

Natural Evolution of Actuality (NEA) begins with two independently lawful, abstract parental responsibilities (M and F) and a foundational principle (Omega) of consequential joining, comparison, and confirmation, rather than assuming primordial spacetime exists at the outset. A previously established Omega-limit construction selects an autonomous, finite-capacity network action whose zero-energy trajectory follows a smooth, bell-shaped density profile, representing the ratio of active network capacity to its maximum limit. This trajectory reaches a single, regular peak at the origin and never drops to zero at any finite stage of progression. We rederive this foundational result and examine the specific four-dimensional, flat Lorentzian spacetime geometry it selects, which is characterized by a constant cell volume and a scale factor proportional to the cube root of the network's relative density. In an exploratory mathematical extension, we calculate the exact Ricci and Kretschmann curvature invariants and prove that this smooth spacetime is geodesically complete for both light rays and massive particles. Its curvature invariants remain finite at every finite point in its progression and fade away toward both asymptotic extremes, while the full past conformal-time integral diverges. Consequently, the model allows for an infinitely extended past without requiring an initial singularity at a finite point. We also determine the exact expansion-rate curve and its peak value, and we reconstruct the underlying theory's separately selected orientation and chirality interface, branch-covariant response, and append-only History. Throughout this analysis, we maintain a clear distinction between a mathematical continuation, a physical pre-metric origin, and the observed thermal Big Bang. Ultimately, this work establishes a conditional existence theorem for a past-complete geometric realization compatible with NEA.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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