Established in scope
Heat profile does not derive the claimed positive oscillator time kernel
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact review of a specific claimed source identity, no new partial model. Does not refute full TFPT reflection positivity, exclude all exact field representations, or prove new independence. Proper-time integration can yield a valid resolvent profile; actual whole weighting and vertices decide. Requested entire Sadm, Htrpos and common spectrum were not computed. Existing24Oct minimality audit is reused.
Read the exact result, assumptions and evidence
Result
Ctau(t)=exp(-t²/(4tau)) has negative reflected determinant exp(-(a+b)²/(2tau))*(exp(-(a-b)²/(2tau))-1) for distinct positive a,b. Every nonzero positive oscillator measure mixture g(z)=int rho(dm)/(z+m) has zg(z)>=wz/(z+M) for some finite M and w=rho([0,M])>0, whereas z exp(-tau z) tends to0. Thus the claimed exact heat-profile localization and its printed physical Hamiltonian are not derived.
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.
- Specific claimed heat-profile and oscillator-covariance identity
Audit only the external assertion that a Laplace heat-profile representation yields a positive local oscillator action without another whole-source identity. For tau>0 the single temporal multiplier is exp(-tau p0²). Comparison is only with a nonzero positive measure mixture of1/(z+m), m>=0. No individual heat atom is chosen as a physical TFPT state.
Original evidence
- HISTORICAL-COMMON-FIELD-TIME-KERNEL-REVIEW.txt lines 1–146
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-COMMON-FIELD-TIME-KERNEL-REVIEW.txt
282a36dc7b45f512c212cc357d851b3c3d92d7dcc7de164b2e5a3ec0e2e127f0
- heat-reflection-G.json lines 1–15
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/heat-reflection-G.json
6ebb1c9b683a3ef8d85ecb894f062e732a79ac67a53464f14855e2fb0c6f8889
- heat_reflection_G.py lines 1–36
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/heat_reflection_G.py
c2fbaea3d3b568fa7550bfb892e3b78e864f8ffeb92f089097472e80975b789b
finding:torsion20261104g-heat-profile-does-not-derive-positive-oscillator-time-kernel