Established in scope
Whole finite source has explicit field integration retaining every matrix leg
In the question: Recursion, hypergraphs and mirroring at the original joint source
Constructive finite representation of same given source,no extra physical measure. Matrix weights are not positive scalar boson probabilities. Native values diagnose existing supplied-coupling Z2 cube,not primitive P1/3+1SM identification. Numerics cover one vector evolution and one marked word;general statement analytical. Thermodynamic word limit only in existing established Hamiltonian branch. Short-time criterion not evaluated on primitive spectral S_adm. No unknown primitive HB,physical spectrum or complete closure. Independent bounded analytical/code review found no sign/normalization error.
Read the exact result, assumptions and evidence
Result
Actual finite H and original coordinate decomposition give Kt(y,x)=Ey exp(-tH)Ex. Full convolution, all insertions and actual Omega/P/reference boundary reproduce the same source. Explicit marked-jump representation cancels all computational rates exactly. A stable actual S_adm strip kernel Lε=I-εH+o(ε) implies full finite-source equality by telescoping. Unchanged original coupled_hamiltonian(g0.8) evaluated wholly on32 cycle coordinates times128 even matter states: reconstruction error8.88e-16,electric involution/commutation exact; two vector controls show Strang convergence. q0->6 has-0.32,+0.32;empty-occupation replacement error0.64.
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.
- Actual whole finite operator source and coordinate fibers
Existing finite selfadjoint source H,original time,boundary/physical projector and actual bosonic PVM;retain all internal fibers. Representation of this supplied source only,no primitive P1 claim. S_adm short-time comparison requires actual stable common strip kernel on same finite space.
Original evidence
- MATRIX-KERNEL-PROOF.txt lines 1–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/MATRIX-KERNEL-PROOF.txt
ff2db6b22553834ea847c7986c19000f2d19b2e43aa6ff00c592db97abd7e988
- MATRIX-KERNEL-PROOF.txt lines 191–293
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/MATRIX-KERNEL-PROOF.txt
ff2db6b22553834ea847c7986c19000f2d19b2e43aa6ff00c592db97abd7e988
- native-matrix-source-results.json lines 1–49
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/native-matrix-source-results.json
93f456a697a177c1364645a2483e4991e15b1faf505fec7b54094ad1cf5a10d4
finding:rec20261103c-whole-source-has-explicit-matrix-field-integration