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Is the EMD coupling square $a^2$ a function of the metric three-jet on an explicit active, non-null, simple-spectrum family of truncated Einstein-Maxwell-dilaton data, and can one more derivative recover it? Proved: no function of the common metric three-jet returns $a^2$ - the order-three ambiguity is exactly a free affine shear orbit ($\mathbb{R}$) mixing $B=a\sin 2\theta$ with the phase gradient - while the fourth-order quotient recovers $a^2=A^2+B^2$, with equality fiber exactly $a=\pm b$ ($\mathbb{Z}_2$). In particular Kaluza's $a=\sqrt{3}$ and the control $a=1$ collide through metric order three.
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Proposed and proved the theorems, wrote the Lean 4 formalization and the manuscript under human direction, with repeated adversarial audit cycles; the human author set scope, claim boundaries, and verification gates.
Provider: OpenAI, Anthropic · Prompt public: unknown · Independence: unknown
Source-audited by this site on 17 August 2026: the repository was cloned at v0.1.0 and all 77 Lean files scanned with comments stripped - zero sorry, zero admit, zero axiom declarations, zero native_decide, toolchain pinned at v4.32.1 with Mathlib. Not compiled here (the repo's CI is claimed to). Lean-checked rather than Lean-verified per this site's standing split: the statements' correspondence to the informal claims has not been independently audited, and the same pipeline produced both the proofs and the formalization. No human peer review.
Correctness: supported · statement fidelity: unaudited · peer review: none
Finite-jet theorems about compiled truncated EMD equation certificates: the exact shear-orbit fiber classification of the complete first seed channels, an explicit collision family with one metric three-jet realized by an actual cubic metric germ (genuine Frechet Ricci value and first derivative), the compiled impossibility theorem, and the fourth-order recovery with equality fiber $a=\pm b$. Not settled here: promotion to analytic EMD solution germs (separate written argument pending specialist audit, in the parent repository), chart covariance beyond the fixed presentation, density of the active locus, degenerate branches, and any sufficiency of $a^2=3$ for a Kaluza uplift.
Source-reported tools: construction.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.