A registered result in its source context
Original ledger classification: Identity [I] (exact arithmetic vs external values) + Physical [P] (typing decision) + External (VW hep-th/0003081; arXiv:2506.02142)
Recorded statement: THE VOLKOV-WIPF FIREWALL (R1 typed closure: the external full-4d graviton/ghost value is pinned and the edge part is exactly two copies of the reduced seam budget; external values verified against arXiv:2506.02142 Table 4.1 which states…
Statement, assumptions and sources
Paper context: Horizon readouts
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HOR.CLOCK.11
Original ledger classification: Identity [I] (exact arithmetic vs external values) + Physical [P] (typing decision) + External (VW hep-th/0003081; arXiv:2506.02142)
Original claim text
THE VOLKOV-WIPF FIREWALL (R1 typed closure: the external full-4d graviton/ghost value is pinned and the edge part is exactly two copies of the reduced seam budget; external values verified against arXiv:2506.02142 Table 4.1 which states agreement with Volkov-Wipf Nucl. Phys. B582 (2000) 313 = hep-th/0003081): (1) EXTERNAL DATUM [I typed external]: alpha_bulk = 22/45, alpha_edge = -8/3, alpha_PI = -98/45 for d = 3 (S^2 x S^2, 4d); arithmetic 22/45 - 8/3 = -98/45 exact; the review's arXiv citation 0204021 corrected to 0003081. (2) THE EDGE MATCH [I]: alpha_edge = -8/3 = 2 x (-4/3) - the external edge factor consists of TWO IDENTICAL COPIES (one per horizon) and the per-copy magnitude 4/3 = e_1/p_0 is EXACTLY the reduced seam budget of HOR.CLOCK.10 (= the seed gain; -2/3 per sector); the TFPT reduced route lands on the EDGE sector of the external bulk/edge split; the bulk 22/45 is the ideal graviton gas which the seam clock does not contain; two copies = the horizon pair = the sheet doubling (HOR.NARIAI.01; HOR.CLOCK.10's 3+3 zero-mode split). (3) FIREWALL ARITHMETIC [I]: -98/45 + 60/45 = -38/45 with 38 = 2*19; neither -98/45 nor -38/45 nor 22/45 is an anchor atom (census) - consistent with HOR.CLOCK.10 where the naive scalar 4d route (-109/45) was already non-atomic (different operator content: scalar split vs full graviton + ghosts + isometries, recorded). (4) TYPING DECISION [P] (recorded): R1 = the reduced zero-mode/RPA seam clock = an EDGE-sector object; the full 4d Volkov-Wipf determinant is the GRAVITY FIREWALL (its -98/45 absorbed in the mu_0/(Lambda G)^3 normalisation), not a TFPT atom; per-copy sign/orientation (the edge factor enters inverted) and the Lorentzian edge-mode reading stay [P]
Original classification detail
Identity: -98/45 = 22/45 - 8/3 external; edge = 2 x reduced budget (-4/3); diff -38/45 no atom; typing: seam clock = edge object full 4d determinant = firewall
Dependencies as recorded
HOR.CLOCK.10; HOR.NARIAI.01; HOR.CLOCK.03-09 (the clock chain)
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- Horizon readouts
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- The closure ledger: what is done, and what genuinely remainsTFPT — Introduction and reading guide
- The hard reduction: the live residual as typed interfacesTFPT — Introduction and reading guide
- The companion documentsTFPT — Introduction and reading guide
- 2026-06-12Research changelog; TFPT — Introduction and reading guide
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- Front matter / supportHorizon readouts
Registered verification modules
- v138_vw_firewall.pyRegistered verification module · registry
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THE VOLKOV–WIPF FIREWALL (R1 typed closure; external values verified against arXiv:2506.02142 Table 4.1, which agrees with Volkov–Wipf hep-th/0003081): EXTERNAL DATUM [I, typed external]: α_bulk = 22/45, α_edge = −8/3, α_PI = −98/45 for d = 3 (S²×S², 4d); THE EDGE MATCH [I] — the structural finding: α_edge = −8/3 = 2 × (−4/3), the external edge factor consists of TWO IDENTICAL COPIES (one per horizon) and the per-copy magnitude 4/3 = e₁/p₀ is EXACTLY the v133 reduced seam budget (= the seed gain; −2/3 per sector) — the TFPT reduced route lands on the EDGE sector of the external bulk/edge split, the bulk 22/45 is the ideal graviton gas which the seam clock does not contain, and two copies = the horizon pair = the sheet doubling (v101; v133's 3+3 zero-mode split); FIREWALL ARITHMETIC [I]: −98/45 + 60/45 = −38/45 with 38 = 2·19 — neither −98/45 nor −38/45 nor 22/45 is an anchor atom, consistent with v133's non-atomic naive route (different operator content, recorded); TYPING DECISION [P]: R1 = the reduced zero-mode/RPA seam clock = an EDGE-sector object; the full 4d Volkov–Wipf determinant is the GRAVITY FIREWALL (its −98/45 absorbed in the μ₀/(ΛG)³ normalisation), not a TFPT atom
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