Established in scope
Joint self-consistency presupposes minimal algebra selection
In the question: Historical: common source, state and event selection
Source and logical dependency audit of the cited chain, not a universal impossibility theorem. An independent original derivation of the cross-identification or unique minimal algebra/bimodule classification could close the gap. E8 glue rank selection and fixed state for given transport are retained and not equated with local algebra selection.
Read the exact result, assumptions and evidence
Result
Original minimization does not classify the minimal algebra/bimodule fiber. The joint discrete theorem imports Higgs rank2 and branch-Yukawa rank3; the master functional fixes d_disc*,P_adm and B_min before varying only ξ=(α,χ_geo,δ_ph,ρ_vac). The singleton fiber product presupposes discrete uniqueness with E3⊕E2,Y in the shared invariant tuple. Two exact conditional decoders exist: independent occupancy balance at g5 gives {b,s}={2,3}; independent Bγ=g/(g−1) with Y roots−1/b,+1/s gives s²=g−1, hence s2,b3. Their cited original proofs evaluate these equalities only on the fixed3+2 branch. Using them as upstream selectors adds a premise.
Required assumptions
- P1/P2 remain declared starting axioms
This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.
- 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
- MINIMALITY_SELFCONSISTENCY_PROOF.txt lines 26–128
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-source-origin-audit-20261016/MINIMALITY_SELFCONSISTENCY_PROOF.txt
0db534e0345f8dc1f99a2fba37c22445d1bbeef7257f0b96d8b8fff43dc3689c
- MINIMALITY_SELFCONSISTENCY_PROOF.txt lines 207–244
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-source-origin-audit-20261016/MINIMALITY_SELFCONSISTENCY_PROOF.txt
0db534e0345f8dc1f99a2fba37c22445d1bbeef7257f0b96d8b8fff43dc3689c
finding:joint-selfconsistency-presupposes-minimal-algebra-fiber-selection