Established in scope
Historical alpha factors and definition steps reconstructed from original sources
In the question: Alpha: derived terms, unique root and physical EM identification
Source provenance and exact algebra under each stated normalization, carrier, primitive sector and defect response contract. No general nonderivability theorem, no retraction of the canonical circle defect line, marked D5 response or positive root uniqueness. No new physical selector or ledger promotion. Historical linear, exponential, quadratic and resummed openings are different calculation contracts; similar coefficients do not prove identical physical actions.
Read the exact result, assumptions and evidence
Result
Older originals give explicit factor provenance: V1.06 uses g=n/(8pi²), n=1 and g=8c3². ImprovedCubic of18September2025 gives linear backreaction1-2alpha; v2.7 derives exp(-alpha J) under additive defect coupling with J=d SF=2. In the later carrier gamma=tr_EY²=3/9+2/4=5/6 and B=rankE3/rankE2=3/2, so B gamma=5/4; family trace tr(S+)Y²=10/3 gives b1=41/10 for three families and one Higgs. The rank-one determinant yields (1-q)^(-5/4); its response q+(5/4)q²+(45/32)q³+... embeds the earlier two-defect coefficient in a fixed series. These factors must not be dismissed collectively as unexplained fits. Full identification remains narrower: v2.7 declares the CFE potential coefficients as supplied scheme inputs; v4.2 supplies P_loc'=alpha³-2c3³alpha² as a condition and defines Gamma by integrating the desired response. The master proof identifies its U(1) block with the already-defined EM action; it does not evaluate an original coupled Dirac determinant to obtain that F there.
Required assumptions
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
- Model results remain conditional
Calculations in a fixed E8 net, quotient, family packet, or readout apply only under their stated inputs and do not select those inputs.
Original evidence
- 001-source.tex lines 359–422
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--old--paper_v1_06_01_09_2025/sections/001-source.tex
0409cbd9fb015a54b2d9d50a36e3cfa178ef406e6f5e809aee0b83d8f6ba7ac1
- 003-subsection-the-cubic-fixed-point-equation-cfe.tex lines 285–331
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-theory-fullv27-final/sections/003-subsection-the-cubic-fixed-point-equation-cfe.tex
b89a8d989e72f20465406f1a16487e8940b58dcc3ffd4c31a3c49316ef100f16
- 006-subsection-character-trace-identities-and-the-abelian-in.tex lines 131–170
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-42/sections/006-subsection-character-trace-identities-and-the-abelian-in.tex
341f53fab64f6f2cca53e505d497cdc7087285c95e8e0f44f616ac6754afa810
- 007-subsection-carrier-form-of-the-electromagnetic-closure.tex lines 13–77
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-42/sections/007-subsection-carrier-form-of-the-electromagnetic-closure.tex
6f98cfb7404f415e4a511712c1fa144c85bb662c36386cc32d1ebb3537a9fb6b
- 009-section-summary-of-claims-and-status.tex lines 201–320
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-theory-fullv27-final/sections/009-section-summary-of-claims-and-status.tex
a75bf150c35d2a7044750cb759fdba572346a7ee36d04d35c765df4ff76808eb
- 027-subsection-primitive-completion-from-the-boundary-kernel.tex lines 229–338
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-42/sections/027-subsection-primitive-completion-from-the-boundary-kernel.tex
59f89c232f7636919ee049f25e066f2ba7937a0e636333b9c4eab2fef17c5d42
- 007-source.tex lines 53–94
Source checked at this snapshot
Original location and fingerprint
documents/tfpt_1_architecture_e8/sections/007-source.tex
7e1cb59fef4de49deefe8f63b5d777e83528d0119e51191595784ee8c30dcd86
- improvedcubic.tex lines 27–141
Source checked at this snapshot
Original location and fingerprint
_archive/paper-latex/old/improvedcubic.tex
aa91332f155fd146dbe0dde76bb9624a7333bd66f67605b5ef1acf008c2d0fdb
- 005-subsection-internal-carrier-stabilizer-and-one-family-pa.tex lines 44–61
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-42/sections/005-subsection-internal-carrier-stabilizer-and-one-family-pa.tex
3348bf35cc05750e1ee198a772ff3278ef92797b9a83cd36b6ce2483300205e8
- 003-subsection-the-cubic-fixed-point-equation-cfe.tex lines 25–45
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-theory-fullv27-final/sections/003-subsection-the-cubic-fixed-point-equation-cfe.tex
b89a8d989e72f20465406f1a16487e8940b58dcc3ffd4c31a3c49316ef100f16
finding:alpha-archive-term-provenance-and-master-functional-scope