A registered result in its source context
Original ledger classification: Identity [I]
Recorded statement: Compiler micro-lemmas (review synthesis, all exact identities compressing scattered factors): (1) SPINE QUOTIENT LADDER - the recurring O(1) factors 2/3,3/4,4/5,5/4,4/3 are adjacent quotients of the spine…
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
ARCH.MICRO.01
Original ledger classification: Identity [I]
Original claim text
Compiler micro-lemmas (review synthesis, all exact identities compressing scattered factors): (1) SPINE QUOTIENT LADDER - the recurring O(1) factors 2/3,3/4,4/5,5/4,4/3 are adjacent quotients of the spine (|Z2|,N_fam,|mu4|,g_car)=(2,3,4,5); feed lambda2=(2/3)^6 (gap=Page rate=Koide target 2/3), eps=3/4 phi0=q(A3)phi0 (solar), phi0 lead (4/3)c3=1/(6pi), q(D5)+q(A3)=5/4+3/4=2. (2) PENCIL DIFFERENCES - P(x)=det(K+xQ)=3x^3+7x^2+6x+4, endpoints (2,4,20,68), consecutive differences (2,16,48)=(|Z2|,dim S+,Omega_adm)=sheet->1gen->3gens. (3) ANCHOR QUADRATIC FORM - 1^TK1=25=g_car^2 (mass volume), a^TKa=41=10b1 (EM budget), a^TKa-1^TK1=16=dim S+ => EM budget = mass volume + one generation. (4) SOLAR DUAL ANCHOR - L=R+6*1*e1^T rank-one winding, a^T R^-1.1=0 => Sherman-Morrison => a^T L^-1=a^T R^-1=(-1/2,-1/2,1): winding invisible to dual anchor, TBM vector stable (mechanism for eps=q(A3)phi0). NOTE fixed doc typo L=R+6 e1 a^T -> L=R+6*1*e1^T
Original classification detail
Identity [I]
Dependencies as recorded
ANCHOR.GEN.01; FLAV.KQ.01; FLAV.PENCIL.01; FLAV.SOLAR.01; BND.GLUE.01
Open the original ledger source, row 140Location 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.
- Architecture, E8 and the electromagnetic fixed point
- Standard Model and flavor structure
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.
- The Sheet Diamond and the Winding Line: masses and transport from one surfacetfpt 2 standard model
- Further simple bridgesArchitecture, E8 and the electromagnetic fixed point
- Glue-norm arithmetic, and three readings of [formula in source] , [formula in source] , [formula in source]Architecture, E8 and the electromagnetic fixed point
- Glue-norm arithmetic, and three readings of [formula in source] , [formula in source] , [formula in source]tfpt 1 architecture e8
- Closing the audit gates: is [formula in source] , [formula in source] , [formula in source] derived or imported?Standard Model and flavor structure
- Closing the audit gates: is [formula in source] , [formula in source] , [formula in source] derived or imported?tfpt 2 standard model
- Front matter / supportStandard Model and flavor structure
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
Registered verification modules
- v74_compiler_micro_lemmas.pyRegistered verification module · frontier
Read the description recorded in the module registry
spine quotient ladder; pencil differences 2→16→48; anchor QF 41−25=16; solar dual anchor
A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.