Established in scope
Original Poisson range and boundary metric fix the whole Calderon graph
In the question: Automated construction of operator maps and sources
Exact bridge for the supplied homogeneous source. Bulk Green kernel and boundary projection are related by the proved normal-trace map, not literal equality. No equality of h with longitudinal quarter time. Wrel defines generic source derivatives but does not alone select J_geom* M_mu; the supplied source and specified insertion fix its response.
Read the exact result, assumptions and evidence
Result
For the supplied homogeneous selfadjoint collar, its Poisson range graph(exp(-ell h)) and original positive boundary metric uniquely determine the full bounded orthogonal projection G with A=(1+exp(-2ell h))^-1 and X=(2cosh ellh)^-1. Both normal traces of the antiperiodic Green formula give G directly. An invertible periodic realization yields an oblique projection with the same range and thus the same orthogonal G. Functional calculus includes unbounded h; no extra AP-selection gate is needed.
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.
- Complete data of both product-collar faces
A selfadjoint B occurs in an exact normal-independent product equation. The full orthogonal L2 Cauchy graph projection of both labeled faces, their actual fiber identification and independently known positive normal length ell are supplied. Selection of these data from P1/P2 is not presumed.
Original evidence
- NORMAL-GREEN-TO-CALDERON-TRACE-REVIEW.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/NORMAL-GREEN-TO-CALDERON-TRACE-REVIEW.txt
423a092a1e73eed77b149a2f6a6ff1debee9d765fd0e438e1dcefc90da554a62
- NORMAL-GREEN-TO-CALDERON-TRACE-REVIEW.txt lines 201–258
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/NORMAL-GREEN-TO-CALDERON-TRACE-REVIEW.txt
423a092a1e73eed77b149a2f6a6ff1debee9d765fd0e438e1dcefc90da554a62
- 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:original-poisson-normal-trace-fixes-whole-calderon-graph