Established in scope
Existing positive AP source has an oriented Poisson-to-heat bridge
In the question: Automated construction of operator maps and sources
Analytic whole-spectrum result with18 new exact and actual96 controls. Constructs a bridge for a supplied source without selecting a new source/action. Physical action argument, K_car origin, reference and eta remain required. Does not impose Sbos=fermion logdet or exclude whole TFPT; linear-energy arguments require their own moment convention.
Read the exact result, assumptions and evidence
Result
The existing source is exactly reconstructed from its signR and positive AP factorQ, including the crossing block. Q alone loses orientation. In the explicitly squared argument, this same factor is the diffuse positive subordinated profile exp(-sqrt(u)), with moments1,2,12 and amplitude/scale invariant shape ratio3, whereas every pure exponential has ratio1.
Required assumptions
- Existing AP source factor and explicitly squared-energy comparison
Given self-adjoint invertible tangent reader of the constant original quarter class, beta=2ell and existing AP gluing factor Q=exp(-beta|h|), with full orientationR. Squared u=(beta|h|)^2 is an explicit comparison variable, not an assumed physical whole bosonic action identification.
- Positive finite Laplace measure and three finite positive moments. Identification of the original profile variables and independent physical moment values is explicitly not supplied by this mathematical comparison.
Positive finite Laplace measure and three finite positive moments. Identification of the original profile variables and independent physical moment values is explicitly not supplied by this mathematical comparison.
Original evidence
- B1-POSITIVE-SOURCE-HEAT.txt lines 1–101
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-POSITIVE-SOURCE-HEAT.txt
307befc88279025bb14ab943ef8f6aef4b2e8163c37f955c86c8d5cb5d810ac4
- check_b1_positive_source_heat.py lines 1–45
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/check_b1_positive_source_heat.py
d7b768ba07d67aa45d3d2d343a897624543cf02aeaf12f11937b9a8b4e7d44b2
- B1-POSITIVE-SOURCE-HEAT.json lines 1–32
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/B1-POSITIVE-SOURCE-HEAT.json
0b80b32ab1fd6d3e3c6aefc481a7be495c37271e2bf0d59e31a5e7de517f9c7b
- ROOT-CANONICAL-DOUBLE-AND-ORIGINAL-LIFT.txt lines 48–76
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-CANONICAL-DOUBLE-AND-ORIGINAL-LIFT.txt
9503f7c83ac05162754d5e7ff12629f1c505b9428228567c510d12bcea2ae8e2
- v255_spectral_action_expansion.py lines 1–44
Source checked at this snapshot
Original location and fingerprint
verification/v255_spectral_action_expansion.py
7fa2b814d4da3e944c8e3de8261a708dda9c05b4ac89bff44a773a70020a7427
finding:existing-ap-positive-source-factor-has-oriented-poisson-heat-bridge