Established in scope
Actual reverse kernel yields global q Hodge response after full composition
In the question: Automated construction of operator maps and sources
Positive global coefficient/form response of the supplied whole source. No pointwise Hodge at unmatched bilocal endpoints. Its integrable diagonal is not automatically a bounded full L2 composite, holomorphic section or finite Yukawa matrix. Scalar Phi=0 test does not trivialize actual Fuchs monodromy. At D_F=0 the original finite one-form vanishes while this response may not; the actual P1 variation or sewing operation must select and turn it into a background generator. No universal fixed-background QY gate. Wrel alone does not select J* M_mu. In an exact supplied graph block the second CAR cumulant9/25 differs from affine-logdet second derivative−16/25 and mean product16/25; retain actual source coupling. This is not a complete TFPT countermodel.
Read the exact result, assumptions and evidence
Result
The actual B=GqJ* composition T(u,v)=B(u,v)mu(v) cancels the full intermediate p signs and retains q input/output covariance. On existing smoothing same-face diagonals, the original bilinear skew projection and oriented Hodge map yield a global canonical-form-valued Fq response, retaining normal and D5 operators without new line, state or normalization. The given scalar common-quarter collar at Phi=0 already has a nonzero response to original off-diagonal insertions, using its actual positive diagonal Fourier kernel and invertible endpoint factor, without input Yukawas.
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.
- Recovered genus2 cover with retained coefficients
Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.
- Supplied split carrier with actual q sign lines on genus-two cover
Given existing split carrier E3⊕E2 with unitary split connection onX and actual unitary flat q linesL0,L1,L2 on old coverC:w³=(z²−1)/(z²+1),η²=1−w⁶,product1 andπ*Fv117=L0⊕L1⊕L2. Pull these data toX×C and combine with declared alignment to mA slots. This does not selectX,E,mA or alignment as original P1 quantum source.
- Constant odd circle-source coefficient with existing sea and full boundary graph
In the existing Clifford chart on L2(S1,K) with finite K let h0=(-i∂theta+alpha)gamma,alpha=1/4 or3/4,gamma*=gamma,gamma²=I. Supply constant selfadjoint odd Phi,{gamma,Phi}=0,and V=-i gamma Phi,h=h0+V on common periodic H1. Compare given CAR sea projectors P_-(h0),P_-(h) and complete pure two-face projector G_ell(h),ell>0,including crossings. This is the existing source class with classical background, not physical selection from P1 or quantization of dynamic bosons.
Original evidence
- REVERSE-HOM-COMPOSED-Q-HODGE-REVIEW.txt lines 1–119
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/REVERSE-HOM-COMPOSED-Q-HODGE-REVIEW.txt
fc5ba082329a6c2c44ac4021d4434b9ac952f32776fd9004cc091bf6d746a2ec
- CLAUDE39-GROK40-ORIGINAL-RESPONSE-REVIEW.txt lines 1–96
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE39-GROK40-ORIGINAL-RESPONSE-REVIEW.txt
46783bd58370475e6203a7074e3628ad3a93f239cf52feea69d8207fbb1c005a
finding:actual-reverse-hom-diagonal-supplies-global-q-hodge-response