Cosmological Structure Formation as Admissible Growth

Abstract

This paper interprets cosmological structure formation through the admissibility framework of the Paton System. Rather than viewing galaxies, clusters, and large-scale cosmic structures purely as the result of gravitational amplification of density fluctuations, the admissibility interpretation recognises that only configurations compatible with governing physical constraints are structurally permitted to persist. Cosmological evolution therefore occurs within an admissible configuration manifold defined by gravitational dynamics, conservation laws, and expansion conditions. Structure formation emerges as the progressive occupation of stable admissible regions within this manifold. This interpretation clarifies why large-scale structures display consistent statistical distributions across the observable universe and links cosmological growth with other domains governed by constraint-defined admissible state spaces.

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2026-03-09

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