Established in scope
Strictly negative original quark crossing covariance
In the question: Automated construction of operator maps and sources
Only the specified R096 branch under its jointly required premises. No derived physical Higgs measure, general H(x) field theory or P1 source completion.
Read the exact result, assumptions and evidence
Result
For actual X_H=(2cosh(ell h_H))^-1, g(u)=Tr_Q X_H=6sum_j[2cosh(ell sqrt(p²+y_j²u))]^-1. Under the specified real face frame and positive nonconstant radial law g strictly decreases, f(u)=u/(1+u) strictly increases, and Cov_mu(f,B_Q)<0. The face identifications cannot be independently rotated without the actual transport.
Required assumptions
- Same constant Higgs and two-face carrier
R096 compares the same original constant Higgs parameter on the same actual two-face CAR carrier and fixed source caller. Face labels are not internal chiral L/R labels. This is a conditional source comparison, not derivation of the primitive P1 identification.
- Real face frame and positive nonconstant radial law
The negative mixed covariance witness uses the original 36-dimensional quark particle module with one common real face frame, ell>0, p>0 and at least one nonzero original Yukawa singular value. Mu is positive normalized and u=H†H is not almost surely constant. Independent face gauge transport is not supplied.
Original evidence
- JOINT-HIGGS-TWOFACE-SOURCE-CONSTRAINT-20261102.txt lines 64–93
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/JOINT-HIGGS-TWOFACE-SOURCE-CONSTRAINT-20261102.txt
db30b33db3c1d4528c65e0ffb6951ef1276710b5958afa10f06a04990c6dbd33
finding:r096-original-quark-crossing-negative-covariance