Two Objects, One Name: The DESI Fork Reconciled — a Theorem About Λ_int, Two Imported Laws, and the Clock Schedule That Can Carry the Data's Sign
Discharges debt D-001-040-74, the internal reconciliation house paper #28 (The DESI Fork, Scored) left as its third debt. In the frame's rate variables (house paper #7: w + 1 = (2/3) Gamma, Gamma'(1) = -(3/2) w_a) the integration-constant theorem is the branch Gamma = 0 identically, while Laws C and D recompute to Gamma(1) = 0.172353 (Law C) and 0.045980 / 0.177353 / 0.413824 (Law D), all with Gamma'(1) <= 0. The category check: the theorem constrains Lambda_int, whose density has d rho/d ln a = 0 identically, while each law requires d ln rho_DE/d ln a = -3(1+w0) != 0 at a = 1 (-0.344705 for Law C; -0.091962 to -0.827646 for Law D). Identified with Lambda_int the laws contradict d_mu Lambda = 0 by those amounts: as derivations of the frame's cosmological constant they are wrong, because their premises are imported ansatze (Law C's evolution equation is Li's 2004 event-horizon holographic postulate, imported by the Link-3 attack as its T1 postulate; the EC+HT action contains no horizon functional) — the frame's owned machinery selects the theorem uniquely for its own Lambda sector. As effective descriptions under a trivial clock schedule the laws are instead bounded by the theorem's sector (Gamma'(1) <= 0, w_a >= 0, theorem point as boundary), which is the domain #28 scored and excluded. The third object, the parent clock schedule, is formalised for the first time: with the true universe exactly LambdaCDM, an observer schedule ln m = mu1 ln a + mu2 (ln a)^2/2 reconstructs all four DESI DR2 central pairs of #28 exactly (mu1, mu2) = (0.5960, 2.5978), (0.1665, 0.9262), (0.3422, 1.6590), (0.2548, 1.3055), while a one-parameter schedule m = a^mu provably cannot reach the freezing quadrant with w0 > -1 (sign lock, scanned). The schedule is fitted input, not a prediction: debt D-001-040-73 (a definite pre-registered parent-schedule prediction) stands, sharpened by the curvature condition. #28's scoring is untouched; the vacuum conversion remains NOT SOLVED. Graded DERIVED-INDEPENDENT, with the EXTENSION border argued in the QA.
Authors
- William Alexander Aldred
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-02
- DOI
- https://doi.org/10.5281/zenodo.23926593
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- preprint