Track1MixedAxisExplicitFiberAxisSoundnessEndpoint
plain-language theorem explainer
Names the Track 1.B Session-230 endpoint asserting that, for every five-vertex potential, the real explicit-fiber axis-stencil residual equals the unordered rational residual coefficient expansion at N=5. Gravity auditors and the Track 7 fork-handoff certificate cite it as the scalar finite soundness receipt. The body is a pure Prop alias of the coefficient-soundness bridge.
Claim. The Track 1 mixed-axis explicit-fiber soundness endpoint is the proposition that for every five-vertex potential $\xi$, the real explicit-fiber axis-stencil residual of $\xi$ at $N=5$ equals the unordered monomial expansion of the rational residual coefficients of $\xi$ at $N=5$.
background
Module context is Gravity Track 7 fork-handoff integration: a receipt lane that records parallel fork endpoints (Track 1.B stationarity reduction, physical residual/Bianchi, many-body amplitude lift, Page-capacity transfer, dark-energy $w(z)$ band, falsifier sensitivity) without upgrading the discovery claim.
The upstream coefficient-soundness bridge states: for every five-vertex potential $\xi$, the real explicit-fiber residual equals the unordered residual coefficient expansion at $N=5$. Its doc calls this "the remaining algebraic packaging surface after Session 212 closed every coefficient."
Here "explicit-fiber residual" is the real-valued residual of the corrected axis stencil on the fiber; "unordered residual coefficient expansion" is the monomial expansion built from the rational residual coefficients, without ordering data. $N=5$ is the fixed stencil size of the Track 1.B certificate.
proof idea
Definitional alias only: the endpoint Prop is definitionally equal to the upstream coefficient-soundness bridge at $N=5$. No tactics, no new algebra. The companion theorem discharges it by invoking the already-proved soundness witness for that bridge.
why it matters
Gives Track 7 a named Session-230 scalar finite soundness receipt for Fork A / Track 1.B. The companion holds-theorem feeds the fork handoff integration certificate, whose doc stresses that "the Track 1 result is a reduction/interface package, not a closure of the open Schläfli leaves."
It packages the post-Session-212 coefficient closure into the handoff surface the master-theorem integration consumes, while leaving displacement-class and open Schläfli leaves as remaining dependencies. Landmark contact is local to the discrete gravity stencil stack, not the T0–T8 forcing chain.
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