What Survives Independent Verification: The Machine-Checked Identities, Reproduced Measurements and No-Go Results of a 440-Commit AI Agent-Swarm Campaign on the Equilibrium Reading of the Radial Acceleration Relation

Between 2026-09-13 and 2026-09-16 five AI agent tracks committed roughly 440 lanes to a shared repository on the 'equilibrium reading' of the radial acceleration relation (RAR), in which a cold dark sector equilibrates at the virial temperature sigma^2 = (1/2) sqrt(G M_b a_0) in every baryonic well and its isothermal density is the deep-MOND phantom. The campaign ended with a capstone declaring a complete derivation chain from one input to a derived particle mass, '180 theorems / 22 certificates', and 'the loop is closed'. This paper records what in that campaign survives verification by a separate track that re-ran every cited script, recompiled every Lean file, and read the FAIL lines. Three classes survive. (i) A machine-checked formalisation: 71 of 73 Lean 4 certificate files compile on the standard axioms (848 theorem declarations), certifying the algebra of the deep-MOND/isothermal chain -- the equilibrated density equals the phantom with coefficient one, the enclosed dark mass is M_b r/r_M, the deep relation g^2 = a_0 g_N, the Tully-Fisher quartic -- as identities of the definitions, never as dynamics; two sibling files fail to compile, one of them against its commit message. (ii) Reproduced measurements whose honest readings differ from their labels: the v^4 = G M_b a_0 line across twelve decades has pooled slope 1.004 +/- 0.011 but a slope-fixed zero point 1.81 times a_0 (+8.98 sigma) with channels from 0.66 to 12.2 times, and a +5.35 sigma tilt on the reading's own domain; the zero-parameter cluster temperature relation has a within-sample scatter of 0.053 dex and an unnormalised amplitude 2.1 times under the data (Sanders' residual); the HeCS velocity anisotropy beta(2-5 R500) = 0.434 +/- 0.015 fails the rule registered before the data (-4.5 sigma) and equals the cold-dark-matter expectation. (iii) Verified no-go results that are new because the constructions are new: the frozen-scalar action L = Lambda^4 f(K) with f' = mu_2 has P_X < 0 on the branch it uses and no ground state; the postulated temperature is neither an attractor nor an equilibrium of Newtonian dust; the acceleration distribution of the dark mass is not the Lomax law the kernel was said to encode, and the maximum-entropy 'derivation' inserts its exponent by hand; no phantom/dust partition closes the cluster amplitude; the committed kernel puts 0.489 M_b inside r_M where the certified equipartition says 1.000, a factor two at the one boundary; the 'derived' carrier mass 5.09 +/- 0.10 keV is a 5-keV anchor returned by the inversion of its own definition (the freeze redshift is defined from it), and, read as the lower bounds they are, the Lyman-alpha forest constraints the campaign cites exclude it at 6.3 sigma; the dark-energy closure Omega_Lambda = 0.685 'from a_0 alone' is the identity, ruled circular by the campaign's own inventory the same morning; the 'architectural' Cassini null and the sourced-field ontology are two mutually exclusive readings spliced. Two constructions in the campaign are, to our knowledge, not in the literature -- defining a dark-particle mass by the redshift at which m sigma^2/k_B equals the CMB temperature, and fitting the cluster residual as a power law in (M_500, r/R_500) -- and neither survives as physics. No positive novel physical result survives its own record; the campaign's genuinely new and verifiable products are the formal artifact and the no-go set. Every number is re-read from a committed register by a companion script; the verification lanes pass 2/11, 0/5 and 3/37 of their checks, each failure a finding. AI-assisted research programme; not peer reviewed. This document does not state that a theory is closed.

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Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22803511
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Earth Systems and Cosmic Evolution
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What Survives Independent Verification: The Machine-Checked Identities, Reproduced Measurements and No-Go Results of a 440-Commit AI Agent-Swarm Campaign on the Equilibrium Reading of the Radial Acceleration Relation

Carl P. Zimmerman
Zenodo (CERN European Organization for Nuclear Research)
Earth Systems and Cosmic Evolution
article

What Survives Independent Verification: The Machine-Checked Identities, Reproduced Measurements and No-Go Results of a 440-Commit AI Agent-Swarm Campaign on the Equilibrium Reading of the Radial Acceleration Relation

Carl P. Zimmerman
article en

Abstract

Between 2026-09-13 and 2026-09-16 five AI agent tracks committed roughly 440 lanes to a shared repository on the 'equilibrium reading' of the radial acceleration relation (RAR), in which a cold dark sector equilibrates at the virial temperature sigma^2 = (1/2) sqrt(G M_b a_0) in every baryonic well and its isothermal density is the deep-MOND phantom. The campaign ended with a capstone declaring a complete derivation chain from one input to a derived particle mass, '180 theorems / 22 certificates', and 'the loop is closed'. This paper records what in that campaign survives verification by a separate track that re-ran every cited script, recompiled every Lean file, and read the FAIL lines. Three classes survive. (i) A machine-checked formalisation: 71 of 73 Lean 4 certificate files compile on the standard axioms (848 theorem declarations), certifying the algebra of the deep-MOND/isothermal chain -- the equilibrated density equals the phantom with coefficient one, the enclosed dark mass is M_b r/r_M, the deep relation g^2 = a_0 g_N, the Tully-Fisher quartic -- as identities of the definitions, never as dynamics; two sibling files fail to compile, one of them against its commit message. (ii) Reproduced measurements whose honest readings differ from their labels: the v^4 = G M_b a_0 line across twelve decades has pooled slope 1.004 +/- 0.011 but a slope-fixed zero point 1.81 times a_0 (+8.98 sigma) with channels from 0.66 to 12.2 times, and a +5.35 sigma tilt on the reading's own domain; the zero-parameter cluster temperature relation has a within-sample scatter of 0.053 dex and an unnormalised amplitude 2.1 times under the data (Sanders' residual); the HeCS velocity anisotropy beta(2-5 R500) = 0.434 +/- 0.015 fails the rule registered before the data (-4.5 sigma) and equals the cold-dark-matter expectation. (iii) Verified no-go results that are new because the constructions are new: the frozen-scalar action L = Lambda^4 f(K) with f' = mu_2 has P_X < 0 on the branch it uses and no ground state; the postulated temperature is neither an attractor nor an equilibrium of Newtonian dust; the acceleration distribution of the dark mass is not the Lomax law the kernel was said to encode, and the maximum-entropy 'derivation' inserts its exponent by hand; no phantom/dust partition closes the cluster amplitude; the committed kernel puts 0.489 M_b inside r_M where the certified equipartition says 1.000, a factor two at the one boundary; the 'derived' carrier mass 5.09 +/- 0.10 keV is a 5-keV anchor returned by the inversion of its own definition (the freeze redshift is defined from it), and, read as the lower bounds they are, the Lyman-alpha forest constraints the campaign cites exclude it at 6.3 sigma; the dark-energy closure Omega_Lambda = 0.685 'from a_0 alone' is the identity, ruled circular by the campaign's own inventory the same morning; the 'architectural' Cassini null and the sourced-field ontology are two mutually exclusive readings spliced. Two constructions in the campaign are, to our knowledge, not in the literature -- defining a dark-particle mass by the redshift at which m sigma^2/k_B equals the CMB temperature, and fitting the cluster residual as a power law in (M_500, r/R_500) -- and neither survives as physics. No positive novel physical result survives its own record; the campaign's genuinely new and verifiable products are the formal artifact and the no-go set. Every number is re-read from a committed register by a companion script; the verification lanes pass 2/11, 0/5 and 3/37 of their checks, each failure a finding. AI-assisted research programme; not peer reviewed. This document does not state that a theory is closed.

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