HAL Program Paper 31: Geometric Origin of the CKM Matrix in HAL - Delta_Cn = Rq^2 - Rl^2

Geometric derivation of the coherence field difference Delta_Cn = 0.570071 between the leptonic and quark sectors of HAL, arising from the curvature radii of the two H4 modal varieties: Delta_Cn = Rq^2 - Rl^2 = 1.577343 - 1.007271 = 0.570071, agreeing with the WP-04 declared value of 0.570 to 0.0125%. Establishes C_nq = Rq^2 as the missing VEV elevation step in H4_q. Consolidates the Motti particle m = 7*me = 3.5770 MeV as the n=7 boundary mode of the H4 lattice. Predicts the Motti-quark particle m = 7*mc = 8890 +/- 50 MeV (falsifiable at LHCb and Belle II). Reduces free inputs in L_total by one. Remaining open: g_3 (Seeley-DeWitt / Z_3, CU-1 bis) and g_2 (SU(2)).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20941535
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
preprint
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HAL Program Paper 31: Geometric Origin of the CKM Matrix in HAL - Delta_Cn = Rq^2 - Rl^2

Mordecai Gavila Alvarez
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
preprint

HAL Program Paper 31: Geometric Origin of the CKM Matrix in HAL - Delta_Cn = Rq^2 - Rl^2

Mordecai Gavila Alvarez
preprint en

Abstract

Geometric derivation of the coherence field difference Delta_Cn = 0.570071 between the leptonic and quark sectors of HAL, arising from the curvature radii of the two H4 modal varieties: Delta_Cn = Rq^2 - Rl^2 = 1.577343 - 1.007271 = 0.570071, agreeing with the WP-04 declared value of 0.570 to 0.0125%. Establishes C_nq = Rq^2 as the missing VEV elevation step in H4_q. Consolidates the Motti particle m = 7*me = 3.5770 MeV as the n=7 boundary mode of the H4 lattice. Predicts the Motti-quark particle m = 7*mc = 8890 +/- 50 MeV (falsifiable at LHCb and Belle II). Reduces free inputs in L_total by one. Remaining open: g_3 (Seeley-DeWitt / Z_3, CU-1 bis) and g_2 (SU(2)).

Zenodo (CERN European Organization for Nuclear Research)
Valencia Catholic University Saint Vincent Martyr (ES)
Quantum Chromodynamics and Particle Interactions
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