From Intelligibility to Finite Cosmic Lineage

Abstract

This preprint develops a deductive approach to cosmogenesis that asks how far cosmological structure can be constrained before a particular dynamical model is chosen. Its sole generative premise is physical intelligibility from within a universe without an external observer, reservoir, or comparison class. From this premise, it identifies requirements of causal order, persistent records, thermodynamic irreversibility, and finite usable capacity, and traces their consequences using established mathematics and physics. The central result is that physical intelligibility imposes a limitation: neither a causally complete cosmological regime nor a realized succession of such regimes can remain indefinitely open while the capacity sustaining its history is treated as unlimited and dynamically irrelevant. The resulting architecture is therefore structurally finite. A quantitative realization is subsequently developed under explicitly stated physical conditions. It yields a radiation-like bridge, a characteristic attenuation factor organizing successive cosmological scales, a formally ordered energy lattice, and a theoretically derived lower structural endpoint. The ancestral endpoint is shown to be structurally necessary but quantitatively non-identifiable from the available premises. Throughout the analysis, derived consequences, adopted physical realizations, conditional extensions, constitutive definitions, benchmarks, and genuinely open questions are kept explicitly distinct. The paper does not propose a new fundamental equation of motion; it establishes a constrained deductive architecture and identifies precisely where additional physical information becomes indispensable.