A registered result in its source context

SEAM.EQUIV.CONTINUUM.EDGE.01

Original ledger classification: Chiral edge scaling motor [E]/[C]: the v367/v368 lattice edge carries the conformal data of a chiral c=1/2 Majorana CFT (linear chiral dispersion v~0.98 with opposite per-edge velocities; algebraic edge correlator eta~1 vs exponential bulk; trivial-phase neg control; N-stable Cauchy scaling-collapse), so the 16-copy edge is a chiral c_-=8 (E8)_1 CFT -- grounding the EDGE half of the cited MMST scaling limit the way v439 grounds the bulk. SEAM.EQUIV.01 stays [O]

Original claim text

The CHIRAL EDGE scaling-limit MOTOR (2026-06-30) -- the edge half of the one SEAM.EQUIV.01 continuum residual, attacking exactly the step v439 left open. v439 grounded the BULK thermodynamic limit (uniform gap, exponential clustering, finite light cone) and explicitly narrowed the open analytic step to the chiral massless EDGE scaling limit; this module attacks THAT residual on the SAME explicit v367/v368 p+ip collar, showing the lattice edge already carries the kinematic AND conformal data of a chiral c=1/2 Majorana CFT and that those data CONVERGE under refinement (the numerical hallmark of an existing scaling limit). [E] CHIRAL LINEAR EDGE DISPERSION: the in-gap branch is linear near its zero-crossing (top v=0.983, R^2=0.9999 over 21 pts) and the two boundaries carry OPPOSITE velocities (top +0.983, bot -0.983) -- one chiral Majorana per edge (relativistic, chiral kinematics). [E] ALGEBRAIC EDGE TWO-POINT: the equal-time edge correlator decays as r^{-eta} with eta=1.001 (the chiral free-fermion CFT exponent) -- a CRITICAL edge. [E] EXPONENTIAL BULK (neg control): the bulk-row correlator decays exponentially (xi~1.1 sites) -- only the edge is critical, so the power law is the edge CFT, not a geometric artefact. [E] TRIVIAL-PHASE NEG CONTROL: M=3 (no edge, v368) has an exponential edge-row correlator -- the algebraic decay is a CONSEQUENCE of the topological edge, not the boundary geometry. [E] SCALING-COLLAPSE / CONVERGENCE: eta is N-stable (1.001+-0.007) and the edge correlator profile is Cauchy-convergent under refinement (successive spread shrinks 0.028->0.013 across Nx=36..60) -- the lattice edge correlators converge to a fixed conformal profile (the edge analogue of v439's bulk thermodynamic limit). [C] EDGE CENTRAL CHARGE: eta=1 <=> one chiral Majorana (c=1/2) per edge, so the N_Maj=2^{g_car-1}=16-copy carrier has a chiral c_-=8 edge CFT (=(E8)_1, c_-=g_car+N_fam=8, consistent with v367/v368/v376) -- linear chiral dispersion + algebraic 1/r correlator + c_-=8 are the conformal data of the edge. [C]/[O] VERDICT: the EDGE half of the cited MMST scaling limit (v336) is now numerically GROUNDED on our explicit collar; with v439 (bulk) + v444 (edge) BOTH halves of the one continuum residual are grounded and pinned to a single cited theorem; SEAM.EQUIV.01 stays [O] -- the rigorous uniform convergence of all edge n-point functions (the MMST existence theorem) is not supplied here.

Original classification detail

Numerical

Dependencies as recorded

SEAM.EQUIV.01; SEAM.MMST.INCLASS.01; SEAM.EQUIV.CONTINUUM.LR.01; SEAM.S3.SCALINGLIMIT.01; SEAM.EQUIV.CONTINUUM.02; v367; v368; v376; v392; v336; v439