Established in scope
The same source supplies Hamiltonian, time and thermal state
In the question: Historical: common source, state and event selection
Finite spatial volume and original neutral scalar/charge source; no spatial continuum or P1/P2 selection claim.
Read the exact result, assumptions and evidence
Result
The original H is positive self-adjoint and has a faithful Gibbs state for every prescribed beta. The actual transfer reconstructs Hδ=−log Qδ/δ; removing the temporal regulator makes its unitary dynamics converge to the same H. Spatial lattice, couplings and beta remain declared inputs.
Required assumptions
- Declared native charge/scalar source
Fixed finite periodic spatial lattice source of rounds20–26 with original G, cocycle, neutral Z8 charges, scalar field and H=Hdiag+Hhop; a,m,beta>0 and original couplings are supplied. Nontrivial memory requires J>0. The original grade k is additionally retained, without presuming its selection from P1/P2.
Original evidence
- PROOF.md lines 7–102
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-source-reconstruction-20261014/PROOF.md
d16b6af2c90491ac94eeb4ab04a8c96b072d37bb6bc5015b3db85c023f8a96e2
finding:native-source-common-time-thermal-family