Creation Events, Counted Twice: The Nieh-Yan Charge Law at the Anomaly Ledger and the Quench Bench

Two theorem-grade results of the house Einstein-Cartan program - the legs theorem (the Nieh-Yan density vanishes identically on every static torsion-defect network, paper N2, DOI 10.5281/zenodo.23697937) and the creation-charge law (a defect-creation event carries Nieh-Yan charge exactly Q = b*L, paper N3, DOI 10.5281/zenodo.23698032) - are exported to the two foreign fields where their tolls are comparisons against published numbers, under kill conditions pre-registered in the Transplant Census. ANOMALY LEDGER: producing the axial anomaly coefficient (Delta Q5 = 2 per unit winding per Dirac flavour, exact by the Atiyah-Singer index theorem and Adler-Bardeen) from Q = b*L FAILS and is printed as an obstruction record: (I) species - the law's per-event output is an area, the anomaly's is a pure count, and the only conversion scale (4*l_P^2) would put G inside a coefficient that has none; (II) constancy - b is frame-free at home and the dial table of frame-open choices runs Q/(4 l_P^2) from 0.25 to 7.1 x 10^52, so the target integer is produced at no dial setting and reached only by decree (the double-decree failure of N3). Grade: anomaly coefficient NOT DERIVED; the kill fires. What survives: the event form RENAMES spectral-flow counting (Nielsen-Ninomiya 1983), and the legs theorem CONSTRAINS the geometric page of the anomaly for defect-carried torsion (static networks contribute identically zero). The literature context is printed: the Nieh-Yan term's own anomaly coefficient is unfixed in the mainstream (Chandia-Zanelli 1997: regulator-mass/length-scale dependent; Obukhov-Mielke-Budczies-Hehl 1997 and a 2024 heat-kernel analysis: no Nieh-Yan index or anomaly at all). WITTEN-VENEZIANO: the target is computed in the paper from PDG masses (combination 0.726 GeV^2, requiring chi_YM^(1/4) approx 179 MeV; lattice pure Yang-Mills 191 +/- 5 MeV) and is NOT DERIVED from the charge law, on two independent obstructions - an instanton creates no defect line, so L has no image in that sector, and landing b*L on the implied area (approx 1.20 fm^2) requires dialling both factors to a confinement scale belonging to another Census cell. BENCH FRONT (Kibble-Zurek): the legs distinction (static defects uncharged, creation events charged) is graded RENAMES against the Kibble-Zurek counting discipline (formation-time counting, survivor counting, and the holonomy/divergence species split, with kappa = h/m4 and Phi_0 = h/2e as the bench's holonomy quanta), its falsifier is stated (a change in a static network's divergence-species content with no creation, annihilation, or boundary event), and no bench number is claimed (NOT DERIVED). The bench returns one diagnostic graded CONSTRAINS: b is priced in every laboratory system by a medium (lattice, condensate), and any future home derivation of b must supply a medium-analog structure Einstein-Cartan gravity currently lacks. The vacuum catastrophe is not spent anywhere in the paper and stands NOT SOLVED in the main program.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23783417
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Creation Events, Counted Twice: The Nieh-Yan Charge Law at the Anomaly Ledger and the Quench Bench

William Alexander Aldred
1 links
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Creation Events, Counted Twice: The Nieh-Yan Charge Law at the Anomaly Ledger and the Quench Bench

William Alexander Aldred
preprint en

Abstract

Two theorem-grade results of the house Einstein-Cartan program - the legs theorem (the Nieh-Yan density vanishes identically on every static torsion-defect network, paper N2, DOI 10.5281/zenodo.23697937) and the creation-charge law (a defect-creation event carries Nieh-Yan charge exactly Q = b*L, paper N3, DOI 10.5281/zenodo.23698032) - are exported to the two foreign fields where their tolls are comparisons against published numbers, under kill conditions pre-registered in the Transplant Census. ANOMALY LEDGER: producing the axial anomaly coefficient (Delta Q5 = 2 per unit winding per Dirac flavour, exact by the Atiyah-Singer index theorem and Adler-Bardeen) from Q = b*L FAILS and is printed as an obstruction record: (I) species - the law's per-event output is an area, the anomaly's is a pure count, and the only conversion scale (4*l_P^2) would put G inside a coefficient that has none; (II) constancy - b is frame-free at home and the dial table of frame-open choices runs Q/(4 l_P^2) from 0.25 to 7.1 x 10^52, so the target integer is produced at no dial setting and reached only by decree (the double-decree failure of N3). Grade: anomaly coefficient NOT DERIVED; the kill fires. What survives: the event form RENAMES spectral-flow counting (Nielsen-Ninomiya 1983), and the legs theorem CONSTRAINS the geometric page of the anomaly for defect-carried torsion (static networks contribute identically zero). The literature context is printed: the Nieh-Yan term's own anomaly coefficient is unfixed in the mainstream (Chandia-Zanelli 1997: regulator-mass/length-scale dependent; Obukhov-Mielke-Budczies-Hehl 1997 and a 2024 heat-kernel analysis: no Nieh-Yan index or anomaly at all). WITTEN-VENEZIANO: the target is computed in the paper from PDG masses (combination 0.726 GeV^2, requiring chi_YM^(1/4) approx 179 MeV; lattice pure Yang-Mills 191 +/- 5 MeV) and is NOT DERIVED from the charge law, on two independent obstructions - an instanton creates no defect line, so L has no image in that sector, and landing b*L on the implied area (approx 1.20 fm^2) requires dialling both factors to a confinement scale belonging to another Census cell. BENCH FRONT (Kibble-Zurek): the legs distinction (static defects uncharged, creation events charged) is graded RENAMES against the Kibble-Zurek counting discipline (formation-time counting, survivor counting, and the holonomy/divergence species split, with kappa = h/m4 and Phi_0 = h/2e as the bench's holonomy quanta), its falsifier is stated (a change in a static network's divergence-species content with no creation, annihilation, or boundary event), and no bench number is claimed (NOT DERIVED). The bench returns one diagnostic graded CONSTRAINS: b is priced in every laboratory system by a medium (lattice, condensate), and any future home derivation of b must supply a medium-analog structure Einstein-Cartan gravity currently lacks. The vacuum catastrophe is not spent anywhere in the paper and stands NOT SOLVED in the main program.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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