Established in scope
Actual weak connection transmits family orientation into the joint boundary source
In the question: Automated construction of operator maps and sources
Actual full96 source operation in one existing quarter mode; no selection of Yukawas,weak background,width or physical time. Unlabelled fullG projection spectra remain0/1; labelled cross blocks differ. No interchange with infinite mode sums and no established coefficient in the original full action/Gamma. Refutes extending frozen separate-spectrum blindness to the existing coupled operator, not every particular functional. A new seam derivative is not required for this capability.
Read the exact result, assumptions and evidence
Result
In the given v252 source the actual real weak lift Q=-i(T+J_F T J_F^-1) has the required antiparticle minus sign. For h=(pI+tQ)gamma-i gamma D_F the commutator term in h² is retained. Two constant diagnostic quark backgrounds with equal separate singular spectra give DeltaTrh²=DeltaTrh⁴=0 but DeltaTrh⁶=5760t² at p=1/4, with all96 slots and identical nonzero lepton/Majorana data. Independent block calculation yields36 DeltaTr(HdHu). Thus for every nonzero t and every given positive width the actual cross-face X eigenvalue multisets differ. Finite small-width trace and logdet differences begin at -244ell⁶t² and -128ell⁶t². The actual coupled source retains mixing information at constant Higgs through its existing weak connection. Under the whole unitary polar formula Y_f=T_f K_f, Tr(LuLd)=Tr(Ku² V Kd² V*) with V=T_u* T_d; a common T gives V=I. Retain original lambda dressing and path-reader typing.
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.
- Geometric Clifford boundary with explicit changed complex structure
Assume the existing free product class B=Gamma A or actual smooth tangential odd finite coefficient B_Phi=Z A-S Phi with total grading Z tensor gamma_F. Apply the standard Clifford boundary functor on the underlying real space with NEW complex structure Ical=i_old Gamma_tot and real structure C0=i_old gamma_n; the dual face has -C0. C0 is old-linear and new-antilinear,not identified with original charge J. This differs from full complex CAR quantization of both independent normal copies. State conclusions use the full graph as the actual quantum covariance in this functor. Its physical selection from P1/P2 is not presumed proved; Phi is a fixed classical background. Keep the fixed normal-independent product collar; a(theta) is smooth Hermitian and even,Phi(theta) smooth Hermitian and odd. No quantization of these bosonic backgrounds.
- Actual full v252 gauge lift and original P2 comparison
Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.
Original evidence
- ACTUAL-WEAK-CONNECTION-AND-JOINT-SOURCE.txt lines 1–119
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ACTUAL-WEAK-CONNECTION-AND-JOINT-SOURCE.txt
705850cdc2e54ccb0edffbaf3c6dfd38446bca31c5bfffda0b21d424ab58cad3
- ACTUAL-WEAK-SOURCE-MOMENT-INDEPENDENT-REVIEW.txt lines 1–132
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ACTUAL-WEAK-SOURCE-MOMENT-INDEPENDENT-REVIEW.txt
908779d625fdde3cb553d6def231ddb205f8181ae3b0fa259b2095ebe37b4f44
- check_actual_weak_source_moment.py lines 1–85
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_actual_weak_source_moment.py
7731669986a50e583c71de6066d97e8bbd4c5affc0603ca160cb02c02ddb7cd7
- actual-weak-source-moment-results.json lines 1–90
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/actual-weak-source-moment-results.json
c68d755ca5e32b332d300e0b0f628e3c245ead4ca00490e0f9ae23bdb3e2cdd8
- CLAUDE54-CONSTANT-GAUGE-MIXING-INDEPENDENT-REVIEW.txt lines 1–157
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE54-CONSTANT-GAUGE-MIXING-INDEPENDENT-REVIEW.txt
df665ebbfdde7952a29b930a3429d079c5efc90b6e55e8a9e339e626ddf03b31
- CLAUDE55-POLAR-MASTER-CONSUMER-REVIEW.txt lines 1–113
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE55-POLAR-MASTER-CONSUMER-REVIEW.txt
ed7504c64868158d9f6fa542d507749cbe1e8f597a42c10604b270048fcddb70
finding:actual-weak-connection-transmits-family-orientation-to-both-faces