A registered result in its source context
Original ledger classification: Cardy tower {1/16,1/2} [E]/[C]: the edge finite-size spectrum reproduces the exact Ising chiral primary dimensions h_sigma=1/16 (R-NS split) and h_epsilon=1/2 (NS pair gap), L-independent (conformal 1/L scaling); with c=1/2 (v450) the edge is the Ising/Majorana CFT, 16 copies => c_-=8=g_car+N_fam; SEAM.EQUIV.01 stays [O]
Recorded statement: The Cardy finite-size conformal TOWER (2026-06-30) -- the edge spectrum reproduces the EXACT Ising primary dimensions {1/16,1/2}, naming the edge CFT. v450 fixed the central charge c=1/2; this module reads the OPERATOR CONTENT from the…
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Paper context: Research contracts
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SEAM.EQUIV.EDGE.CARDY.01
Original ledger classification: Cardy tower {1/16,1/2} [E]/[C]: the edge finite-size spectrum reproduces the exact Ising chiral primary dimensions h_sigma=1/16 (R-NS split) and h_epsilon=1/2 (NS pair gap), L-independent (conformal 1/L scaling); with c=1/2 (v450) the edge is the Ising/Majorana CFT, 16 copies => c_-=8=g_car+N_fam; SEAM.EQUIV.01 stays [O]
Original claim text
The Cardy finite-size conformal TOWER (2026-06-30) -- the edge spectrum reproduces the EXACT Ising primary dimensions {1/16,1/2}, naming the edge CFT. v450 fixed the central charge c=1/2; this module reads the OPERATOR CONTENT from the finite-size spectrum (Cardy: E_n - E_0 = (2 pi v / L) x_n). On the critical uniform Majorana ring (the v367/v368 edge universality class). [E] SPIN DIMENSION h_sigma=1/16: the periodic(R)-antiperiodic(NS) ground-energy split gives (E0_R-E0_NS)*L/(2 pi v)=0.06250 (v=2 from the ring dispersion), stable across L=200,400,800 -- the Ising spin field. [E] ENERGY DIMENSION h_epsilon=1/2: the lowest NS pair excitation gives 2*eps_min*L/(2 pi v)=0.50000 -- the Ising energy field. [E] CONFORMAL SCALING: both dimensions are L-INDEPENDENT (the gaps scale exactly as 1/L) -- a conformal (gapless) spectrum, not a gapped lattice. [C] ISING IDENTIFICATION: {c,h_sigma,h_epsilon}={1/2,1/16,1/2} is the chiral Ising (free Majorana) CFT; with N_Maj=16 copies and bulk-edge (v447), c_-=16*(1/2)=8=g_car+N_fam. [C]/[O] the edge CFT is named by both its central charge (v450) AND its operator content (this); SEAM.EQUIV.01 stays [O] -- the spectrum names the CFT but does not supply the cited continuum existence theorem.
Original classification detail
Numerical
Dependencies as recorded
SEAM.EQUIV.01; SEAM.EQUIV.CONTINUUM.EDGE.01; SEAM.EQUIV.EDGE.ENTANGLEMENT.01; SEAM.EQUIV.EDGE.CHERN.01; v444; v450; v447
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- Research contracts
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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
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
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- Research Contract 1 — [formula in source]tfpt research contracts
- OutcomeRed-team audit
- 2026-07-20 (IV) (evidence scorecard: five new typed rows — the [formula in source] running prediction of record, the [formula in source] -distortion [formula in source] branch discriminator, and three parked analog beds (bosonic-E8 thermal Hall, E8 mass-ladder recovery, Efimov DSI tuning); experiments level only — no verification module, no gate closes, no marker moves)Research changelog; TFPT — Introduction and reading guide
- Front matter / supportResearch contracts
- Research Contract 1 — [formula in source]tfpt research contracts
Registered verification modules
- v451_seam_edge_cardy_tower.pyRegistered verification module · frontier
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SEAM.EQUIV.EDGE.CARDY.01: the Cardy finite-size conformal tower -- the edge spectrum reproduces the EXACT Ising primary dimensions {1/16,1/2}. On the critical Majorana ring (the v367/v368 edge universality class). [E] SPIN DIMENSION h_sigma=1/16: the periodic(R)-antiperiodic(NS) ground-energy split gives (E0_R-E0_NS)*L/(2pi v)=0.06250 (v=2), stable across L=200,400,800. [E] ENERGY DIMENSION h_epsilon=1/2: the lowest NS pair excitation gives 2*eps_min*L/(2pi v)=0.50000. [E] CONFORMAL SCALING: both dimensions are L-independent (gaps scale exactly as 1/L). [C] {c,h_sigma,h_epsilon}={1/2,1/16,1/2} is the chiral Ising (free Majorana) CFT; with N_Maj=16 and bulk-edge (v447), c_-=16*(1/2)=8=g_car+N_fam. [C]/[O] the edge CFT is named by central charge (v450) AND operator content (this); SEAM.EQUIV.01 stays [O]. Python-only (numpy).
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