Established in scope
Common axial phase leaves original fixed single-Higgs field image
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact whole quaternionic image test and original96 producer control with all Yukawa entries symbolic. No fitted masses or selected phase points. Zero Higgs/degenerate Yukawa columns are outside the theorem. Does not forbid complete source/basis transport with transformed coefficients, generalized superconnections or composite phase fields. No global TFPT absence claim or complete Sadm/Htrpos/spectrum.
Read the exact result, assumptions and evidence
Result
The actual common mass rotation multiplies both particle L/R Yukawa columns by the same complex z. In the original single Higgs doublet the columns instead carry h2 and barh2. For nonzero H and both nonzero Yukawa columns the image requires q(Hprime)=zq(H). Its quaternionic defect is -2i Im(z)q(H), with exact norm8 Im(z)²|H|². Thus a U1 phase orbit lies in this fixed field image only at z=+/-1; fixed nonzero MR further forces z=1.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Actual total grade and whole original pairing
The supplied collar has Gamma_tot=Z tensor gamma_F and E v=(Pplus v,i Pminus v),its full C0 companion and both oriented faces. The existing ordinary Spin4 branch has Gamma=gamma5 tensor gamma_F,the total Weyl fiber and actual J. All original Yukawa/Majorana matrices remain. Do not identify that branch with the primitive whole source.
- Original single Higgs doublet with fixed Yukawa and Majorana data
Actual R034/R035 producer Phi(H)=L(H)+DM uses q(H)=[[barh2,h1],[-barh1,h2]] with fixed original Yukawa matrices. Phase-image decision needs nonzero H and nonzero up and down Yukawa columns. Additional Majorana consequence assumes fixed nonzero MR. Whole basis/source transports, varying coupling families and generalized original field spaces remain distinct.
Original evidence
- HISTORICAL-BOUND-TORSION-REFERENCE-AND-FIELD-IMAGE.txt lines 123–239
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-BOUND-TORSION-REFERENCE-AND-FIELD-IMAGE.txt
cae869fdf3bac9a2ca83324764bf9dd6388d2cec3ad49fcb602145e462e275d3
- gebundene-referenz-und-feldbild.json lines 1–140
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/gebundene-referenz-und-feldbild.json
e04164737f01d2dc86a7b7f44508da710ca969f99ae00429b2bff960ed18a9d3
- ORIGINAL-HIGGS-INNER-SCALE-PROOF.txt lines 1–69
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HIGGS-INNER-SCALE-PROOF.txt
8d041b0da6aef4a5e90007fb4c155029133138097e895517b396cb4fee32ef58
finding:torsion20261104c-common-phase-leaves-original-single-higgs-image