A registered result in its source context
Original ledger classification: Identity [E] (Galois relation) + [C] (prediction) + [X] (kill test)
Recorded statement: A NEW FALSIFIABLE PREDICTION FROM THE GALOIS STRUCTURE: THE TWO CP PHASES ARE LOCKED, delta_PMNS = delta_CKM,lead + pi (2026-06-22, the v316 follow-up turned testable). [E] ONE UNIT TWO POWERS: both CP phases are powers of one hexagonal…
Statement, assumptions and sources
Paper context: Origin Theory
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GALOIS.CP.PREDICT.01
Original ledger classification: Identity [E] (Galois relation) + [C] (prediction) + [X] (kill test)
Original claim text
A NEW FALSIFIABLE PREDICTION FROM THE GALOIS STRUCTURE: THE TWO CP PHASES ARE LOCKED, delta_PMNS = delta_CKM,lead + pi (2026-06-22, the v316 follow-up turned testable). [E] ONE UNIT TWO POWERS: both CP phases are powers of one hexagonal unit rho=zeta_6 in the family Galois factor (v316): delta_CKM,lead=arg(rho)=pi/3 (60 deg), delta_PMNS=arg(rho^4)=4pi/3 (240 deg), rho^4=-rho. [E] FORCED RELATION: delta_PMNS-delta_CKM,lead=pi exactly (the Z2 sheet flip rho^3=-1), equivalently delta_PMNS=4*delta_CKM,lead -- the quark and lepton leading CP phases are NOT independent (one is fixed by the other). [C] PREDICTION OF RECORD: delta_PMNS,lead=240 deg, forced from delta_CKM,lead=60 deg + the sheet flip (180 deg) -- upgrades delta_PMNS from an assigned texture to a Galois-forced relation to the measured quark phase. [N] CURRENTLY COMPATIBLE: 240 deg lies within the broad current global-fit range for the PMNS Dirac phase (NuFIT 6.0, normal ordering); decisive test = DUNE/Hyper-K/JUNO. [X] KILL TEST: a measured delta_PMNS robustly incompatible with delta_CKM,lead+pi=240 deg (beyond the sub-leading budget, at >3 sigma) falsifies the Galois-CP organization (v316/v317). A genuine NEW falsifiable cross-prediction from the v313-v319 arithmetic arc; the leading-order/holonomy reading is [C] like delta_CKM, the relation itself [E], the kill test [X]; does NOT derive the magnitudes.
Original classification detail
[E] the exact Galois relation delta_PMNS=delta_CKM,lead+pi (rho^4=-rho, both powers of zeta_6) + the non-triviality; [C] the leading-order prediction delta_PMNS,lead=240 deg; [N] current compatibility; [X] the pre-registered kill test (DUNE/Hyper-K/JUNO). A NEW falsifiable cross-prediction from the Galois arc; does NOT derive magnitudes and does NOT upgrade the CP-phase typing beyond the relation.
Dependencies as recorded
GALOIS.READOUT.01; ARITH.CAPSTONE.01; v316; v231; v233
Open the original ledger source, row 418Location recorded in the ledger
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- Origin Theory
Sections that explicitly cite this claim
A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.
- 2026-06-22 (a NEW falsifiable prediction from the Galois structure: the two CP phases are locked, [formula in source] : v320)Research changelog; TFPT — Introduction and reading guide
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.
- 2026-06-22 (Wolfram mirror of the arithmetic arc [formula in source] three sharpening steps: the CP-lock made quantitative, the Bisognano–Wichmann keystone, the minimal hypergraph fibre: v322, v323, v324)Research changelog; TFPT — Introduction and reading guide
- Falsifiersinput 4 origin theory
- The whole integer skeleton from one pair [formula in source]input 4 origin theory
- The Sheet Diamond and the Winding Line: masses and transport from one surfacetfpt 2 standard model
- The whole integer skeleton from one pair [formula in source]input 4 origin theory
- Neutrinostfpt 2 standard model
- Certifiability and recommended ordertfpt research contracts
- NeutrinosStandard Model and flavor structure
All 21 linked sections
- Front matter / support
- 2026-06-22 (the forward kill-test board: the decisive upcoming measurements ranked, each locked to a freeze row — incl. the new Galois-CP relation: v321)
- Outcome
- Falsifiers
- Falsifiers
- Falsifiers
- Front matter / support
- Front matter / support
- 2026-06-25 (The Eisenstein/CP operator [formula in source] the order-30 clock: v417)
- The whole integer skeleton from one pair [formula in source]
- Certifiability and recommended order
- 2026-06-25 (Three closure-strategy modules v425– v427 [formula in source] the Safeguards paper)
- Certifiability and recommended order
Registered verification modules
- v320_galois_cp_relation.pyRegistered verification module · frontier
Read the description recorded in the module registry
A NEW falsifiable prediction from the Galois structure: the two CP phases are locked, delta_PMNS = delta_CKM,lead + pi. Both phases are powers of one hexagonal unit rho=zeta_6 (v316): delta_CKM,lead=arg(rho)=pi/3=60deg, delta_PMNS=arg(rho^4)=4pi/3=240deg, rho^4=-rho, so delta_PMNS-delta_CKM,lead=pi exactly (the Z2 sheet flip) -- the quark and lepton leading CP phases are NOT independent. Prediction of record: delta_PMNS,lead=240deg (upgrades the assigned texture to a Galois-forced relation to the measured quark phase); currently within the broad NuFIT 6.0 range; KILL TEST: delta_PMNS robustly away from 240deg (>3 sigma; DUNE/Hyper-K/JUNO) falsifies the Galois-CP organization
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