Scoped exclusion
Composition and a cyclic faithful state do not yet select the algebra
In the question: Historical: common source, state and event selection
Only excludes these general composition/cyclicity conditions as sufficient algebra selectors. The new pair is not a same-center counterexample or full physical TFPT countermodel. Additional principles such as purification remain conditional, not P1-derived.
Read the exact result, assumptions and evidence
Result
The existing operational context-quotient/GNS result remains conditional on the original operation alphabet. Classical and quantum models obey general composition, causality and local tomography. C4 and L(M2) additionally share HS(M2), J and Omega, cyclic/separating faithfulness and order zero, yet only the latter is noncommutative; their centers differ. A coherent two-channel operation separates a restricted population protocol (double pulse:1 versus1/2), but source availability must first be derived.
Required assumptions
- Explicit finite process and cyclicity controls
The controls compare finite classical and complex-quantum processes and C4 versus L(M2) on HS(M2), J(X)=X*, Omega=I/sqrt2. Both cyclic/separating, faithful and order zero; the C4/M2 centers differ. No complete P1/P2, OS, seam or minimality countermodel is asserted.
- 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.
Original evidence
- PROCESS_RECONSTRUCTION.txt lines 34–121
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-source-origin-audit-20261016/PROCESS_RECONSTRUCTION.txt
daaf8a80f62be064a2bbc53f17b00f40d329929d2c29b14793ddaa1ead04cea6
- process_reconstruction.py lines 1–45
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-source-origin-audit-20261016/process_reconstruction.py
2398a46a57942ff8fc54f8735101dc1f271cd748eb25f85595bfed5308e75ad5
finding:process-composition-and-cyclicity-do-not-select-algebra