A registered result in its source context
Original ledger classification: Unconditional over-determination floor [C] (disjoint pieces only, compression removed; floor ~1e-10 vs v100 conditional 10^-30.7; bounds numerology only, firewall)
Recorded statement: THE UNCONDITIONAL IMPROBABILITY FLOOR + THE L1<->L2 BRIDGE (2026-06-27, v432): the defensible over-determination number that survives even if a skeptic REJECTS the declared formula grammar -- the complement of the conditional null model…
Statement, assumptions and sources
Paper context: Verification safeguards
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OVERDET.FLOOR.01
Original ledger classification: Unconditional over-determination floor [C] (disjoint pieces only, compression removed; floor ~1e-10 vs v100 conditional 10^-30.7; bounds numerology only, firewall)
Original claim text
THE UNCONDITIONAL IMPROBABILITY FLOOR + THE L1<->L2 BRIDGE (2026-06-27, v432): the defensible over-determination number that survives even if a skeptic REJECTS the declared formula grammar -- the complement of the conditional null model (v100) and the multiply-vs-compress framework (v427/v428). [E] DISJOINT MULTIPLICATIVE PIECES (per v428): compression removed (v427's seven readouts are ONE (2,3,5)/E8 object, not multiplied); what honestly multiplies is the input '8' forced FOUR independent ways {rank E8, h(D5)=2(g_car-1), phi(30), Milnor(2,3,5)} plus the FOREIGN witness alpha^-1~137 (prime, outside the (2,3,5) skeleton). [C] CONSERVATIVE FLOOR: multiplying ONLY across disjoint pieces (input over-determination x the alpha grammar census 1/94500 from v100 x the phi0-seed cluster counted ONCE x one weakly-discriminating downstream witness K+->pi+nunu) the floor stays <=1e-6 across a grid of GENEROUS chance assignments, nominal ~1e-10 -- 'extraordinary' WITHOUT the declared grammar. [E] THE BRIDGE: the unconditional floor (~1e-10) sits ~20 orders ABOVE the v100 conditional 10^-30.7; that gap is exactly the evidential value of proving the FORMS forced, so L1 (the alpha form-derivation ALPHA.QUILLEN.EXACT.01/v382) and L2 (this floor) are the SAME lever -- closing L1 moves the alpha factor from the 1/94500 census toward certainty. [C] HONEST SCOPE: bounds ONLY the 'is it numerology?' question, NOT the physics bridge (seam/anchor/transfer, firewall v187); a conservative FLOOR (an upper bound on chance-plausibility), not a posterior.
Original classification detail
[E] the disjoint-pieces accounting (the '8' forced 4 ways + the foreign alpha) and the floor<->ceiling bridge inequality (floor ~1e-10 >> v100 conditional 1e-30.7); [C] the conservative floor value and the bounded scope (numerology only, not the physics bridge). The unconditional complement to v100; closes nothing.
Dependencies as recorded
OVERDET.WITNESS.MAP.01; OVERDET.WITNESS.RECLASS.01; v100; v305; ALPHA.QUILLEN.EXACT.01; v187
Open the original ledger source, row 100Location recorded in the ledger
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- Verification safeguards
Sections that explicitly cite this claim
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- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- 2026-06-27 ( v431, v432 — the ``unmapped'' [formula in source] degrees are forced spine [formula in source] flavor structure; the unconditional over-determination floor)Research changelog; TFPT — Introduction and reading guide
- 2026-06-29 ( v436 — hardening the unconditional ``is it numerology?'' floor to an assumption-minimal counting floor; plus a literature note grounding the [formula in source] Chern level)Research changelog; TFPT — Introduction and reading guide
Navigation through a shared verification script
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- Layer 3 — the over-determination map (multiply vs.\ compress)Verification safeguards
- Summary — the layered defenseVerification safeguards
Registered verification modules
- v432_overdet_floor.pyRegistered verification module · registry
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OVERDET.FLOOR.01: the UNCONDITIONAL improbability floor + the L1<->L2 bridge -- the defensible number that survives even if a skeptic REJECTS the declared formula grammar, complementing the conditional null model (v100) and the multiply-vs-compress framework (v427/v428). [E] DISJOINT PIECES (v428): compression removed (v427's seven readouts are one (2,3,5)/E8 object, NOT multiplied); what multiplies is the input '8' forced FOUR ways {rank E8, h(D5)=2(g_car-1), φ(30), Milnor(2,3,5)} plus the FOREIGN witness α^-1~137 (prime, outside (2,3,5)). [C] CONSERVATIVE FLOOR: multiplying ONLY across disjoint pieces (input over-determination × the α grammar census 1/94500 (v100) × the φ0-seed cluster counted ONCE × one downstream witness) the floor stays ≤1e-6 across a grid of generous assignments, nominal ~1e-10 -- 'extraordinary' WITHOUT the declared grammar. [E] THE BRIDGE: the floor (~1e-10) sits ~20 orders ABOVE the conditional 10^{-30.7} (v100); that gap = the value of proving the FORMS forced, so L1 (ALPHA.QUILLEN.EXACT.01, v382) and L2 (this floor) are the SAME lever. [C] HONEST SCOPE: bounds ONLY 'is it numerology?', NOT the physics bridge (firewall v187); a conservative FLOOR, not a posterior. Numerical/methodological [C], Python-only (mpmath) -- deliberately NOT Wolfram-mirrored (a bound, not an identity).
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