Established in scope
Existing selected spin and actual q lines yield three explicit global kernel sections
In the question: Automated construction of operator maps and sources
Deduplicated new application of old data,not new general theta mathematics. SOURCE-SPIN-ZERO-SECTIONS sections1–3 retained;its section4 phase/original-lift assignment corrected byThe reviewed-SZEGO-FIRST-REVIEW section5. SOURCE-SPIN-JOINT-CLOCK-TEST compares matrices for wrongly assigned lift,not an original intertwiner. Uniform−i halfturn is fixed by original fiber linearization,not freeσ convention or equality withQΓ. Complex cohomology,not chiralindex3 or generation selection. Kernel-volume/oldNq comparison must use corrected lift,not earlier uncalibrated calculation. Complete Seed retains state/time. Closed curve,originalP1/APS domain,reflection,physicaltime and charged field products need actual source map. Existing normline/theta/native module proof retained;original one-copy insertion not proved here. Kernel volume is now positively compared in corrected lift as generated-group line representation:finding:actual-spin-kernel-determinant-has-inverse-q-norm-character;not original insertion rule.
Read the exact result, assumptions and evidence
Result
Already source-selectedS0=O(Σq−K),actualLa=O(qa−q(a+1)),2qa~K giveTa=S0⊗La≅O(q(a+2)),eachh0=h1=1. Whole oldFq=L0⊕L1⊕L2⊕O has(h0,h1)=(3,3),index0,trivialslot0. f_a=1/(w+ωa) explicitly spansTa in stated divisorframe;common quadratization isψa²=(w+ω(a+2))dw/η. Actualc/Q classes transporta→a−1,a→−a−1. IMPORTANT LIFT CORRECTION:oldAq²=(-,+,-) are fiber eigenvalues atQ-fixedq0,already carried by canonical divisor linearization;not additional relative meromorphic signs. Correctly calibrated tensor hyperelliptic lift therefore acts UNIFORMLY−i on all3kernels;Q_kernel⁴=−I retained. Earlier Kummerε-based meromorphic matrix instead had(i,−i,i) and is not original coefficient lift. Its simultaneous matrix comparison and normline continuation are identities of that different lift only. Closed Dolbeault has3kernel/3cokernel and no ordinary two-sided Szego inverse. Corrected quarter hasv_a=δa ξω^(1−a),δ=(1,−1,1),ξ=e^(−iπ/4),spectrum{ξ,−ξ,−ξ};lineQ maps require no global scalar roots.
Required assumptions
- 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.
- Unchanged A0* Fuchsian equation and actual C4 clock
Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.
- 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.
Original evidence
- SOURCE-SPIN-SIGN-KERNEL-REVIEW.txt lines 1–116
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SOURCE-SPIN-SIGN-KERNEL-REVIEW.txt
6ae00d308d7b97d018e3f2c6c192cbecfe2b26d40c81c62f8c9562bd58e34d88
- SOURCE-SPIN-ZERO-SECTIONS.txt lines 1–95
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SOURCE-SPIN-ZERO-SECTIONS.txt
8ace4e928bf950e97d3010d53001a904b03ddedea1f51933e8bea7434938c333
- SOURCE-SELECTED-THETA-SPIN.txt lines 1–174
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SOURCE-SELECTED-THETA-SPIN.txt
cf4478191ccd75d62a2f049a54193541009bed24877df9cbe0ed9f942d07d717
- SIGN-LINE-COVER-DICTIONARY.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-COVER-DICTIONARY.txt
555f75a2d3c67347fa5f8e3c4f7f46e79d94cb4172176c84010224585dc842e7
- CLOCK-Q-PACKET-COMPATIBILITY.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CLOCK-Q-PACKET-COMPATIBILITY.txt
fe37f20bbb2d959dfe678ca1bf435a69067cfcb859a3d36769294bbe9bf61c32
- CLAUDE22-SZEGO-FIRST-REVIEW.txt lines 1–186
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE22-SZEGO-FIRST-REVIEW.txt
76d97c22caf295b502cbab98e82aa747f6f9d6b8ac0b1c6dcf1db61ada240f19
- SOURCE-SPIN-JOINT-CLOCK-TEST.txt lines 1–86
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SOURCE-SPIN-JOINT-CLOCK-TEST.txt
811a216222b56656c3712d5c9b86e9cf5d9bcee59306595fae5655c4bd952735
- SOURCE-ZERO-MODE-ACTUAL-LIFT-NORM.txt lines 1–127
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SOURCE-ZERO-MODE-ACTUAL-LIFT-NORM.txt
673abb0a6fa24cc1d989d0ae68d816acf811bbfa1ec3f8fa978e77991afde143
- SOURCE-ZERO-MODE-NORM-INDEPENDENT.txt lines 1–126
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/SOURCE-ZERO-MODE-NORM-INDEPENDENT.txt
9c790ed53c3945d825043147fcfb31cca29753cf8212653775dd9aaaa634a39e
finding:source-selected-spin-and-q-signs-have-three-explicit-global-kernels