One-Loop Hubble Correction from 24-Cell Spectral Geometry

Within the Geometric Universe Framework (GUF), the cosmological hierarchy R/r_p ~ 10^41 is encoded in a torsional phase Δφ = 2π²√5 plus a one-loop quantum correction δ. This note computes δ from the 24-cell graph Laplacian spectrum, conditional on two GUF-internal postulates (democratic energy and isotropy of the hierarchy). Key Result δ = (12 ln 3 − 14 ln 2) / (4D) = 0.036303 where D = 24 − 1/(8π) = 23.9602 (effective 24-cell dimension) Prediction: H₀ = 70.1 km/s/Mpc (no new fit parameters introduced in this note). What This Result Depends On Component Status 24-cell spectrum {0,4,8,10,12} Proven (graph theory) Trace = 14 ln 2 − 12 ln 3 Algebraic identity (mode matching is heuristic) Democratic energy theorem Proven within GUF Isotropy condition Postulate — the hinge assumption The entire result lives or dies on the isotropy condition: the claim that the hierarchy correction equals the per-mode (not total) partition function. This gives the critical factor of 1/D that converts δ_total ≈ 0.870 into δ ≈ 0.0363. Without it, the result does not follow. Files File Description Graham_2026_Delta_Correction_v2.pdf Paper (8 sections, 10 references, tables, derivation, code) guf_delta_verify.py Standalone verification (19/19 arithmetic checks passing) README.md This file CITATION.cff Machine-readable citation metadata Running the Verification bash python3 guf_delta_verify.py Requires only Python 3.8+ standard library (math). No external packages. Note: The 19 checks verify internal arithmetic consistency (trace identities, degeneracy sums, algebraic equivalences). They do not constitute empirical validation. Citation Graham, J. (2026). One-Loop Hubble Correction from 24-Cell Spectral Geometry in the Geometric Universe Framework. Zenodo. https://doi.org/10.5281/zenodo.18859435