Established in scope
Quarter pairing supplies neither local normal nor convergence-based scale selection
In the question: Automated construction of operator maps and sources
Narrow original-source and candidate comparison. Preserve valid tangential pairing and declared relative log prescription; no new normal-field class,global P1/Moebius exclusion or two complete P1 sources from alternate weights. Convergence cannot replace an additional original dilation rule. Full existing normal Clifford chart and canonical L pairing remain available. A common bosonic-plus-fermionic source need not equate bosonic spectral action with fermion logdet. Origin and reference must be checked at actual joint source call.
Read the exact result, assumptions and evidence
Result
Existing J'=swap M_exp(−ix)K is a valid tangential antiunitary quarter pairing making C_A selfdual. Its sectors are V=Tpi character spaces of one NS circle. A local old-complex-linear N has sigma1{Bcov,N}=4xiN; anticommutation requires N=0,while actual deck commutes with Bcov. Relative heat trace Delta gives log2 under dt/t and paired Pfaff value log√2. Measure dt/t+c exp(−t)dt also converges,but shifts paired value by c pi sinh(2pi)/[2cosh(2pi)(cosh(2pi)+1)]>0. Relative UV finiteness alone therefore selects no scale measure. Declared annulus values0.701844509492457 and2.62205755429212 were independently confirmed.
Required assumptions
- Fixed quarter cover, deck as normal and convergence-only selection tests
Use existing longitudinal NS tuple B_cov=2(A1/4⊕A3/4),V=Tpi,u_cov=[[0,exp(ix)],[I,0]],with actual H1 domains and old complex types. Test only claimed local old-complex-linear normal multiplication on this same two-sector coefficient space,and convergence alone selecting dt/t. Relative heat pair is A1/4² versus A1/2²; no alternative measure is presumed a full admissible original TFPT source.
- 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
- QUARTER-COVER-AND-SCALE-DECISION.txt lines 1–62
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/pfaff_source_review/QUARTER-COVER-AND-SCALE-DECISION.txt
b74f3ee90b738dfd91e48c916e6ec908445569b7e411df4cac928675956f5e8f
- COVER-SECTOR-REVIEW.txt lines 1–36
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/pfaff_source_review/COVER-SECTOR-REVIEW.txt
71a2104f84132f4d574e3a48cb4fdd4aa58b3c3d80899c2c2c7d55b9dfb46741
- ROOT-RELATIVE-HEAT-MEASURE-CHECK.json lines 1–10
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/pfaff_source_review/ROOT-RELATIVE-HEAT-MEASURE-CHECK.json
898bc827358e7b048e6c38615ecd41898173f1aaaa823c69c3c06014f2b85651
- ROOT-ANNULUS-NUMBERS.json lines 1–5
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/pfaff_source_review/ROOT-ANNULUS-NUMBERS.json
8046f81070f1827f4a8d6569875ad427b0cf049d989f828531fc09a5bdc9b5b3
- BOUNDARY-SOURCE.txt lines 145–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/BOUNDARY-SOURCE.txt
a12e7b7566734e26ef9c53c6ee910638a77f20412085943d6cd30b255b7e9251
- 009-source.tex lines 125–146
Source checked at this snapshot
Original location and fingerprint
documents/tfpt_research_contracts/sections/009-source.tex
388f7e74c41945a9d59ed46bc24df463610397e8fd3bf1cd97ab69e86a1a3430
finding:quarter-cover-pairing-does-not-supply-local-normal-or-select-scale-measure