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:

1. Minimal Conditions for Admissible Construction

2.  The Structure of Admissibility

3. Admissibility and Constraint-Induced Rigidity of Physical Quotient Structure

4. On the Non-Quantizability of Gravity and Constraint-Induced Rigidity of Physical Structure