Claim Summary · Conditionality Footer

Claim Summary

DERIVED. The defragmentation timescale τ = (6/21) × t_H ≈ 3.9 Gyr (sections 3.1, 5). The three fractions — dark energy 68.85%, dark matter 26.39%, visible 4.76% — the two dark within 1.3% of Planck 2018, the visible within ≈2%, zero free parameters (section 3.4). The rate equation and its convolution solution (section 3.2).

STRUCTURAL IDENTIFICATION. Dark matter as the in-transit defragmentation process; dark energy as the completed-reservoir rest state; visible matter as the open channel (sections 1–2).

PREDICTION. The epoch dependence of the split, dissolving the coincidence problem; the ΛCDM-distinguishing crossover at z ≈ 0.9 (section 4).

ADDRESSED / CLOSED. D44 (dark-sector partition) ADDRESSED; D47 (defragmentation timescale) CLOSED conditional on KS-42.3; D48 (formation-history convolution) OPENED.

FALSIFICATION REGISTER. KS-42.1 (dark-matter particle detection, EMPIRICAL), KS-42.2 (epoch dependence, EMPIRICAL), KS-42.3 (defragmentation timescale derivation, STRUCTURAL), KS-42.4 (equation of state, EMPIRICAL), KS-42.5 (constant feeding rate, STRUCTURAL), KS-42.6 (timescale ratio derivation, EMPIRICAL).

Conditionality Footer

Dependencies

AP04 (the loop), AP06 (α), AP09 (defragmentation, the forgetful functor), AP10 (twenty-one channels, three dimensions), AP20 (the substrate clock), AP21 (filamentary structure), AP24 (the six faces), AP28 (the twenty-one channels, coupling independence), AP41 (the visible-channel identification). Independent of AP30/AP30a and the ethics chain (AP31–AP39).

Dependents

The body of work’s cosmological dark-sector claims; the prediction that dark-matter particles will not be found; the resolution of the coincidence problem; the epoch dependence of the partition.

Kill switches closed by this paper

None outright. D47 is CLOSED conditional on KS-42.3. KS-42.1–KS-42.6 are introduced or carried as live (KS-42.6 newly added).

Kill switches that remain live

KS-42.1 (EMPIRICAL), KS-42.2 (EMPIRICAL), KS-42.3 (STRUCTURAL), KS-42.4 (EMPIRICAL), KS-42.5 (STRUCTURAL), KS-42.6 (EMPIRICAL).

Structural debts owed

D44 (ADDRESSED — full closure needs D48 and KS-42.2), D47 (CLOSED conditional on KS-42.3), D48 (OPENED — the formation-history convolution).

Items held open without claiming debt status

The equation of state w = −1 (KS-42.4, not formally derived); dark-matter substructure; the actual black-hole formation history (the constant-feeding approximation).