A registered result in its source context
Original ledger classification: Formal [F] (Lean kernel; the Chern integers, the bulk-edge count, the c_-=8=g_car+N_fam assembly, the holomorphic c mod 8 and the order-3 modular T-phase all kernel-proved axiom-free; the cited MMST continuum theorem stays the named residual)
Recorded statement: LEAN 4 FORMALISATION of the edge central-charge arithmetic (2026-06-30; the kernel-hardening of the edge readings v447/v450/v451/v452) -- new module TfptCarrier/SeamEdgeChern.lean, lake build OK, #print axioms CLEAN (propext only). It…
Statement, assumptions and sources
Paper context: Red-team audit
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FORM.SEAM.EDGE.CHERN.01
Original ledger classification: Formal [F] (Lean kernel; the Chern integers, the bulk-edge count, the c_-=8=g_car+N_fam assembly, the holomorphic c mod 8 and the order-3 modular T-phase all kernel-proved axiom-free; the cited MMST continuum theorem stays the named residual)
Original claim text
LEAN 4 FORMALISATION of the edge central-charge arithmetic (2026-06-30; the kernel-hardening of the edge readings v447/v450/v451/v452) -- new module TfptCarrier/SeamEdgeChern.lean, lake build OK, #print axioms CLEAN (propext only). It kernel-checks the integer backbone all four edge observables and the torus character converge on, over N/Z: [F] chern_topological/chern_trivial/chern_opposite (the FHS Chern integers +1/0/-1 for the M=1/3/-1 phases), [F] bulk_edge (the chiral edge-channel count = |C| = 1), [F] nMaj_eq_16 (N_Maj=2^(g_car-1)=16), [F] two_cMinus_eq (the doubled assembly 2*c_-=N_Maj*|C|, i.e. c_-=16*(1/2)*1=8), [F] cMinus_eq_eight/cMinus_eq_rank (c_-=8=g_car+N_fam=rank E8), [F] holomorphic (c=8=0 mod 8), [F] tphase_order_three (24/gcd(8,24)=3, the order-3 modular T-phase e^{-2pi i/3}), bundled as edge_kernel_facts -- ALL by kernel decide (axioms propext only, NO domain axiom). The continuum existence theorem (MMST, v336) that lifts these readouts to a rigorous net is NOT supplied and stays the single open residual of SEAM.EQUIV.01. Mirrors v447/v450/v451/v452 (and Wolfram-mirrored in tfpt_readouts_extension.wl).
Original classification detail
Formal
Dependencies as recorded
SEAM.EQUIV.EDGE.CHERN.01; SEAM.EQUIV.EDGE.ENTANGLEMENT.01; SEAM.EQUIV.EDGE.CARDY.01; SEAM.EQUIV.E8.MODULAR.01; SEAM.EQUIV.01; v447; v450; v451; v452
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- 2026-06-30 ( v449– v453 + Lean + Wolfram — the edge CFT named end-to-end: uniform-in- [formula in source] convergence, three independent reads of [formula in source] , the Ising operator tower, the [formula in source] modular data, and [formula in source] -symmetry derived from the four marks)Research changelog; TFPT — Introduction and reading guide
- Research Contract 1 — [formula in source]tfpt research contracts
- OutcomeRed-team audit
- Front matter / supportResearch contracts
- Research Contract 1 — [formula in source]tfpt research contracts
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