A registered result in its source context
Original ledger classification: Identity [E] (coupling 16 c3^4=1/(256 pi^4)=delta_top/3) + physical bridge [C] (1/r^2 shape, achromaticity, sign-flip) + dated kill test [X] (three nulls)
Recorded statement: EHT ACHROMATIC POLARIZATION-ROTATION INTERCEPT (2026-06-15, archive integration): beta_BH(r) = Q_e^eff Q_m^eff/(256 pi^4 r^2) = 16 c3^4 (Q_e Q_m / r^2) around a horizon-scale black hole. (1) [E] the coupling 16 c3^4 = 1/(256 pi^4) EXACTLY…
Statement, assumptions and sources
Paper context: Horizon readouts
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HOR.EHT.01
Original ledger classification: Identity [E] (coupling 16 c3^4=1/(256 pi^4)=delta_top/3) + physical bridge [C] (1/r^2 shape, achromaticity, sign-flip) + dated kill test [X] (three nulls)
Original claim text
EHT ACHROMATIC POLARIZATION-ROTATION INTERCEPT (2026-06-15, archive integration): beta_BH(r) = Q_e^eff Q_m^eff/(256 pi^4 r^2) = 16 c3^4 (Q_e Q_m / r^2) around a horizon-scale black hole. (1) [E] the coupling 16 c3^4 = 1/(256 pi^4) EXACTLY (c3=1/8pi) -- no free coupling. (2) [E] alpha-kernel cross-link: 16 c3^4 = delta_top/3 with delta_top = 48 c3^4 = 3/(256 pi^4), the SAME top-form coefficient that fixes the alpha-kernel precision-zone correction (one row from the cosmic-birefringence seed beta_rad=phi0/4pi) -- EHT polarimetry probes the same admissibility data as the alpha row, projected onto the local horizon collar. (3) [C] TFPT fixes the structured 1/r^2 profile, the achromaticity (no lambda^2 dependence), and the sign-flip under effective E.B reversal; the amplitude Q_e^eff Q_m^eff (local effective E.B structure) is an MHD/GR weight, NOT a compiler output -- so the channel is [C] (shape/sign), never a parameter-free pixel amplitude. (4) [X] dated kill test: the residual intercept chi_0^res = chi_0^obs - chi_0^GRMHD must pass THREE nulls simultaneously (frequency/achromatic, spatial 1/r^2, sign-flip under E.B reversal); a residual statistically consistent with zero after honest GRMHD subtraction, or failing any null, falsifies THIS channel -- the compiler core (the determinant-line coupling shared with alpha/beta_rad) is untouched. Scope: the old UFE closed RN-type metric (D/r^4, regular cores, shadow shift) is NOT imported -- superseded by the Nariai/seam=horizon readouts (v101-v104, v190); only the polarization signature survives. Wolfram-mirrored (the coefficient identity 16 c3^4 = 1/(256 pi^4) = delta_top/3 is exact)
Original classification detail
Identity [E]: the EHT polarization coupling 16 c3^4 = 1/(256 pi^4) = delta_top/3 is the SAME compiler number as the alpha-kernel correction; the 1/r^2 shape + achromaticity + sign-flip are TFPT-fixed [C], the amplitude an MHD/GR weight; dated [X] kill test = three nulls after honest GRMHD subtraction; NOT the UFE metric (Nariai/seam=horizon supersedes it)
Dependencies as recorded
AX.P1.01; HOR.01; EM.FP.01
Open the original ledger source, row 279Location recorded in the ledger
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- Horizon readouts
Sections that explicitly cite this claim
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- 2026-06-15 (archive integration \#2: the EHT achromatic polarization intercept — v203)Research changelog; TFPT — Introduction and reading guide
Navigation through a shared verification script
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- The local sibling: an EHT achromatic polarization interceptHorizon readouts
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- 2026-06-22 (external-review pass: a registry bug fix, the NA62 2026 rare-kaon update, CP-phase prose hygiene, and three firewall/visualisation enhancements: v202, v203, v305, v307, v321)Research changelog; TFPT — Introduction and reading guide
Registered verification modules
- v203_eht_achromatic.pyRegistered verification module · horizon
Read the description recorded in the module registry
the EHT achromatic polarization-rotation intercept β_BH around a horizon-scale black hole — the surviving core of the old UFE/BH notes (NOT the RN-type metric, superseded by Nariai/seam=horizon v101–v104/v190; only the polarization signature). [E] the coupling is a compiler number: β_BH(r)=Q_e^eff Q_m^eff/(256π⁴r²)=16c₃⁴(Q_eQ_m/r²), 16c₃⁴=1/(256π⁴) exactly. [E] α-kernel cross-link: 16c₃⁴=δ_top/3, δ_top=48c₃⁴=3/(256π⁴) — the SAME top-form coefficient that fixes the α-kernel precision-zone correction (one row from β_rad=φ₀/4π). [C] TFPT fixes the 1/r² profile, achromaticity, and sign-flip under E·B reversal; the amplitude Q_eQ_m is an MHD/GR weight, not a compiler output. [X] dated kill test: the residual intercept must pass three nulls (frequency/achromatic, spatial 1/r², sign-flip); a null-consistent residual after honest GRMHD subtraction falsifies the channel (core untouched).
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