Skip to main content

A registered result in its source context

Original ledger classification: Measured census [E] (sector-truncated; float64 exploration grade warded by exact identities) + finite KMS rigidity [E] (v995); type-III/continuum stays [O]; no marker moves

Recorded statement: THE RP MIXING CENSUS (measured 2026-08-27; promoted in v972): the v903 exclusivity is RAY- and REFLECTION-relative, NOT slice-wide. The full 33-dim C6-covariant mixing slice censused under BOTH deployable reflections: (1) theta_abT sees…

Statement, assumptions and sources

Paper context: Architecture, E8 and the electromagnetic fixed point

The exact identifier, original classification and full claim are available below.

The source wording and classification below are preserved as recorded. A paper link, shared script or authored topic relation does not upgrade the claim or report a new proof run. Read later reviewed findings separately.

Read the exact registered claim and its dependencies

SEAM.STATE.RPMIXING.01

Original ledger classification: Measured census [E] (sector-truncated; float64 exploration grade warded by exact identities) + finite KMS rigidity [E] (v995); type-III/continuum stays [O]; no marker moves

Original claim text

THE RP MIXING CENSUS (measured 2026-08-27; promoted in v972): the v903 exclusivity is RAY- and REFLECTION-relative, NOT slice-wide. The full 33-dim C6-covariant mixing slice censused under BOTH deployable reflections: (1) theta_abT sees exactly ONE coordinate -- a_J, killed 1st order odd / 2nd order even, kernel value -1/(1+c^2) = -0.8240271368 at c = tanh(1/2) -- and 32/33 directions are identically invisible => a 32-dim MARGINAL RP hyperplane {a_J = 0}; (2) the theta_S Hermiticity-defect map has rank 16 => a 17-dim first-order-neutral subspace, NO second-order kill, with STRICT finite-s witnesses (W_S: pure a_J at s = 1/8, lambda_min 0.1558 -- the very direction theta_abT kills); (3) the v903 anchor reproduced (odd Gram eigenvalues == +-|a_J|, defect 1.7e-16, a_J = +0.04068013). ANSWER TO THE ROUND QUESTION: RP + C6-covariance do NOT force the channel-diagonal point; each reflection carves only the coordinates its half-side Gram can SEE, and the two reflections see complementary windows -- the v903 statement is about the v898 RAY, not the slice. TYPED: sector-truncated census (deg <= 2 Grams + deg <= 4 spots, not the full 256-monomial algebra); theta_abT invisibility = RP-SILENT, not certified positivity; the v898/v903 [O] premise UNMOVED. EXECUTED UPDATE (2026-08-28, completeness wave, v995): ALL 33 v972 mixing directions are killed by KMS ALONE on the finite CAR algebra (CAR_8 = M_256); covariance is provably redundant under full KMS (COVARIANCE_DROP_REDUNDANT_UNDER_FULL_KMS); unique E-invariant crossed-product state extension (196608 -> 0). Type-III/continuum KMS uniqueness stays [O]. Display of the census stays [E]; no marker move on the open continuum residual. Python-only / Wolfram mirror deferred.

Original classification detail

[E] census: theta_abT kills exactly one coordinate (32-dim marginal hyperplane {a_J = 0}); theta_S leaves a 17-dim neutral subspace with strict witnesses; the v903 exclusivity typed ray-/reflection-relative; premise unmoved EXECUTED UPDATE (2026-08-28, v995): finite KMS rigidity [E] -- all 33 mixing directions killed; covariance redundant; 196608 -> 0. Type-III/continuum stays [O]. WAVE-5 (2026-08-29): continuum leg listed as a child of SEAM.MMST.TYPEIII.CHARGED.01 [O]; finite KMS rigidity unmoved. Display unmoved.

Dependencies as recorded

SEAM.STATE.DERIVATION.01; SEAM.CFIN.KMSMIX.01; v903; v898

Open the original ledger source, row 752

Location 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.

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.

All 16 linked sections

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.

All 24 linked sections

Registered verification modules

  • v972_seam_interaction_front.pyRegistered verification module · core
    Read the description recorded in the module registry

    SEAM.INT.ODDSPLIT.01 [E] + SEAM.INT.OSAVOID.01 [E] + SEAM.STATE.RPMIXING.01 [E] (+ Updates an SEAM.INT.FKTOY.01 / WOIT.OS.TWISTOR.01 / SEAM.STATE.DERIVATION.01; Konsolidierung dreier Explorationsrunden vom 2026-08-27, alle drei Sonden byte-exakt eingebettet mit gepinnten Quell-SHA-256 und wörtlich ausgeführt, 20/20 + 18/18 + 25/25, Verdikte CLASS_EMPTY_ON_BASIS + OS_VIABLE_ON_AVOIDING + RP_ADMITS_MIXING): **DIE SEAM-INTERAKTIONSFRONT** — (1) Die hinreichende Jaffe–Pedrocchi-Bedingung für Majorana-Reflexionspositivität (arXiv:1406.1384; Wei–Li–Xiang arXiv:1601.01994) wird auf dem v529-FK-Toy ENTSCHEIDBAR gemacht: die Kreuzungs-Koeffizientenmatrix B ist EINDEUTIG (Links-Monom-Paare bijektiv auf Kreuzungsmonome), also ist „B hermitesch UND −B PSD" ein endlicher Check; der freie FK-Hamiltonian wird auf allen 8 Bond-Cuts zertifiziert (Twist η = −i erzwungen); die Konfusionsmatrix gegen gemessene RP über 35 Zellen ist PERFEKT (23 zert.&PD / 12 unzert.&fail / 0 FP / 0 FN); der μ4-kovariante Quartik-Raum (dim 464) ist auf der Basis LEER (und auf 64 geseedeten Kombinationen; der Träger-Ausschluss pinnt den vollen 1820-dim Raum) — DIE ENTDECKUNG: das v529-Straddle-Gesetz VERFEINERT sich zum ODD-SPLIT-GESETZ: JP sagte RP-Überleben auf ZENTRIERT gestraddelten Cuts voraus (m = 4-Modell, Achsen 7/15, 2+2-Spiegelsplit), die Direktmessung bestätigt ((37,0,0) bei g = 0.5/1/2); die v529-Ankerleiter exakt reproduziert. (2) Die quartett-MEIDENDE Cut-Familie des uhr-invarianten m = 4-Mitglieds erzeugt die VOLLE gerade Seam-Algebra (Rang 15, dim 32768 = 2¹⁵; Einzel-Cut-Mitglieder m = 2/6 mit typisiertem Defizit EXAKT 1), und OS/GNS auf dem meidenden Cut k = 3 bei g = 1 ist POSITIV (min +4.43e−5, GNS 37/37, Distanzen 1.044/1.386/1.650 monoton), während die gestraddelte Kontrolle ehrlich scheitert (−6.94e−2); die μ4-Uhr bildet das meidende Paar {3, 11} exakt auf sich ab — das Kill-Test-2-Gegengewicht VERENGT, hebt nicht auf. (3) Die v903-Exklusivität ist STRAHL- und SPIEGELUNGS-relativ, nicht slice-weit: auf dem vollen 33-dim C6-kovarianten Mixing-Slice sieht θ_abT genau EINE Koordinate (a_J, Kernwert −1/(1+c²) = −0.8240271368 bei c = tanh(1/2)), 32/33 unsichtbar ⇒ 32-dim MARGINALE RP-Hyperebene {a_J = 0}; die θ_S-Defektabbildung hat Rang 16 ⇒ 17-dim erstordnungs-neutraler Unterraum mit STRIKTEN finite-s-Zeugen (W_S bei s = 1/8, λ_min 0.1558 — genau die Richtung, die θ_abT tötet); der v903-Anker reproduziert (a_J = +0.04068013). Modul-eigene Exaktsektion S0 (sympy/GF(2), keine Sonden-Importe): JP-Entscheidbarkeits-Lemma am 4-Majorana-Toy (9 paarweise verschiedene Kreuzungsmasken ⇒ eindeutiges B; Falschvorzeichen-Toy SCHEITERT), Odd-Split-Arithmetik (zentriert ⇔ 2+2 exakt auf Z₁₆; der ungerade 1+3-Block [[0,b],[b*,0]] erzwingt b = 0 — die Obstruktion; Vorzeichen-Flip-Mutant CAUGHT), GF(2)-Erzeugungs-Buchhaltung (Paarrang 15, 2¹⁵ = 32768; Innerhalb-Hälften-Rang 14 — Defizit exakt 1), Fenster-Arithmetik (33 = 24 + 9, 32 + 1, 33 − 16 = 17; Kernwert symbolisch == −cosh(1/2)²/cosh(1)) plus 4 Verdikt-Bars mit Kipp-Mutanten. EHRLICH: KEINE Marker-Bewegung; SEAM.EQUIV.01 bleibt [O]; der v529-Pflichtzaun (EIN Toy, EINE Wechselwirkungsklasse, [C] Flachband-Parent) wird von allen drei Resultaten GEERBT; JP ist nur hinreichend; der S1-Zensus ist sektor-trunkiert. KEIN RH-Claim.

  • v995_kms_subnet_rigidity.pyRegistered verification module · frontier
    Read the description recorded in the module registry

    SEAM.STATE.RPMIXING.01 [E-Update: endliche KMS-Rigiditaet] + ALPHA.QUILLEN.EXACT.01 [O-Notiz: Rigiditaets-Praemisse endlich] (Vollstaendigkeits-Welle 2026-08-28): ALLE 33 v972-Mischrichtungen von KMS ALLEIN auf der endlichen CAR-Algebra getoetet (CAR_8=M_256); Kovarianz beweisbar redundant unter vollem KMS (COVARIANCE_DROP_REDUNDANT_UNDER_FULL_KMS); eindeutige E-invariante Crossed-Product-Zustandserweiterung (196608 -> 0). Typ-III/Kontinuum bleibt zitiert/offen. Python-only / Wolfram-Spiegel zurueckgestellt.

A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.

Search later reviewed research for this identifierRead the coverage boundaries