On the Structural Origin of Cosmological Parameter Tensions and Transport-Induced Divergence (Hubble Tension)

Overview Cosmological parameter tensions—especially the mismatch in the Hubble constant between early- and late-universe measurements—are usually treated as signs of new physics. This paper proves that such tensions arise as a structurally necessary consequence of transport-induced divergence in cosmological inference. Core Idea Cosmological inference is modeled as a data–model–parameter–projection tuple. A valid theory must admit a single admissibility-preserving transport between early- and late-universe regimes. When this transport is incomplete or inconsistent, parameter divergence is unavoidable. Main Results 1. Cosmological Degrees-of-Freedom Lemma All admissibility-relevant variations of cosmological inference occur in a finite set of coordinates (model, parameters, data, inference map, transport). 2. Cosmological Divergence Theorem Any failure of admissibility-preserving transport produces a mismatch in inferred parameters, including the expansion rate. 3. Closure Result (AASC Framework) All divergence modes collapse into a finite normal-form family. No same-domain inference scheme can eliminate tensions without: changing scope, or adding extra structure, or restoring admissibility-preserving transport. Concrete Demonstration A two-epoch toy model shows: omission of a tensor witness → explicit H0H_0H0 mismatch completed admissibility-preserving transport → consistency restored Interpretation Cosmological tensions are structural, not dynamical. They reflect incomplete matching between projections of a deeper constraint architecture. Standard ΛCDM combines early- and late-time inference without enforcing a single admissibility-preserving transport. Implication The correct resolution is not: new particles modified gravity ad hoc corrections But: constraint-native cosmological realizations in which GR and QM sectors are treated as bookkeeping projections of a common admissibility-bearing structure. This paper is downstream of: Minimal Conditions for Admissible Construction  The Structure of Admissibility Admissibility and Constraint-Induced Rigidity of Physical Quotient Structure On the Non-Quantizability of Gravity and Constraint-Induced Rigidity of Physical Structure