A registered result in its source context
Original ledger classification: Identity [I] (exact GR arithmetic on compiler atoms) + Physical [P] (bulk reading)
Recorded statement: THE MAXIMAL BLACK HOLE IS THE ANCHOR (carrier-in-the-bulk surface; Schwarzschild-de Sitter in seam units): (1) NARIAI = ANCHOR - at M_N = 1/(N_fam sqrt(L)) the horizon cubic is t^3-3t+2 = (t-1)^2(t+2), roots (1,1,-2) = the traceless…
Statement, assumptions and sources
Paper context: Origin Theory
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Read the exact registered claim and its dependencies
HOR.NARIAI.01
Original ledger classification: Identity [I] (exact GR arithmetic on compiler atoms) + Physical [P] (bulk reading)
Original claim text
THE MAXIMAL BLACK HOLE IS THE ANCHOR (carrier-in-the-bulk surface; Schwarzschild-de Sitter in seam units): (1) NARIAI = ANCHOR - at M_N = 1/(N_fam sqrt(L)) the horizon cubic is t^3-3t+2 = (t-1)^2(t+2), roots (1,1,-2) = the traceless projection of the anchor a=(1,1,2) (coefficients (-3,2) = (-N_fam,|Z2|); cf chi_a = (t-1)^2(t-2), ARCH.CORE.01). (2) the Koide 2/3 IS the Nariai entropy bound: S/horizon = S_dS/N_fam, total = (|Z2|/N_fam) S_dS, deficit S_dS/3; interpolation S_tot/S_dS = (x^2+1)/Phi_3(x), monotone, min at the merge. (3) three-sheet conservation pi sum r_i^2 = |Z2| S_dS for every M. (4) Koide-form quotient of the three roots ranges [3/8,1/2] = the two nonzero SU(4)_1 weights (pure dS -> 1/2 = delta; Nariai -> 3/8 = p2(a)/e1(a)^2). (5) mass-line double cover disc ~ (1-3m)(1+3m): branch +-1/N_fam, separation 2/3; deck = horizon swap (gravitational twin of the sheet Z2). (6) temperature lemma |kappa_b/kappa_c| = (2x+1)/(x(x+2)) > 1: evaporation flows AWAY from the merge - anchor point = repeller, democratic endpoint = attractor (same orientation as the flavor flow, FR.KOIDE.04) [audit]. (7) seam-unit mechanics: dM = c3 kappa dA, Smarr 2c3, Bekenstein 1/(4c3), P_H = c3/(1920 M^2) (=|W(D5)|, HOR.01), lifetime 5120 pi M^3 = 128 g_car M^3/c3 (128 = 2^7 = dS prefactor), Kerr A_ext = M^2/c3 (ratio 1/2 = 1/|Z2|, S_ext: 1/4 = 1/|mu4|), area quantum 4 ln3 = ln(N_fam^4) = ln(disc of the flavor cover) [P as HOR.QNM]. Six independent landings on already-load-bearing atoms, zero free parameters; lifetime/power normalisations are standard photon/geometric-optics conventions (external); carrier-in-the-bulk reading [P]; structure surface, not a measurement surface (M_N today ~1e22 M_sun)
Original classification detail
Identity: six atom landings in SdS mechanics; bulk reading [P]
Dependencies as recorded
AX.P1.01; ARCH.CORE.01 (anchor); FLAV.PENCIL.03 (cover); FR.KOIDE.04 (orientation); HOR.01; GATE.METRIC.07 (SU(4)_1 weights)
Open the original ledger source, row 184Location recorded in the ledger
These document locations are recorded directly on the ledger row. They are document level navigation, rather than a newly inferred section citation.
- Origin Theory
- Standard Model and flavor structure
- Horizon readouts
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- The `` [formula in source] '' is triply forced: geometry [formula in source] lattice [formula in source] gravityinput 4 origin theory
- The Sheet Diamond and the Winding Line: masses and transport from one surfacetfpt 2 standard model
- The `` [formula in source] '' is triply forced: geometry [formula in source] lattice [formula in source] gravityinput 4 origin theory
- The companion documentsTFPT — Introduction and reading guide
- 2026-06-12 (origin_theory style alignment + box reduction)Research changelog; TFPT — Introduction and reading guide
- 2026-06-11Research changelog; TFPT — Introduction and reading guide
- Front matter / supportStandard Model and flavor structure
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
All 13 linked sections
- The `` [formula in source] '' is triply forced: geometry [formula in source] lattice [formula in source] gravity
- 2026-06-15 (archive integration \#2: the EHT achromatic polarization intercept — v203)
- The `` [formula in source] '' is triply forced: geometry [formula in source] lattice [formula in source] gravity
- Front matter / support
- The maximal black hole is the anchor: SdS in seam units
Registered verification modules
- v101_horizon_anchor.pyRegistered verification module · registry
Read the description recorded in the module registry
The maximal black hole is the anchor (Schwarzschild–de Sitter in seam units): the Nariai horizon cubic t³−3t+2 = (t−1)²(t+2) has roots (1,1,−2) = the TRACELESS ANCHOR a−(p₁/3)·1; the Koide 2/3 = |ℤ₂|/N_fam is the exact Nariai/de-Sitter entropy bound (per horizon 1/3); interpolation (x²+1)/Φ₃(x) (the N_fam cyclotomic); three-sheet entropy total |ℤ₂|·S_dS conserved for every M; Koide-form root quotient ranges [3/8, 1/2] = the nonzero SU(4)₁ weights; the mass line is a split double cover (branch ±1/N_fam, deck = horizon swap); evaporation flows away from the anchor point (repeller/attractor orientation as in flavor, v82); seam-unit table: dM = c₃κdA, Smarr 2c₃, P_H = c₃/(1920M²), τ = 128·g_car·M³/c₃, Kerr A_ext = M²/c₃; six atom landings, zero free parameters [I] + bulk reading [P]
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