TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/joint-native-algebra-selection-20261016/ORIGINAL-SEAM-STATE-FLAG-SELECTION.txt
Original file SHA-256: bdbba2dae8386cd94e68663ca3c2291ba652df2de563b1a4e114ffa2af4ec1ee
Inclusive original lines: 208-234
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
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000208 | 6. WHAT TRIVIAL STABILIZER DOES AND DOES NOT PROVE
000209 | 
000210 | For a finite G action, an equivariant map from G.d to the flag set is
000211 | determined by its value f at d. It exists exactly when Stab(d) fixes f.
000212 | Proof: define S(gd)=gf. This is well defined iff h f=f for every h in
000213 | Stab(d). This elementary statement applies to the actual G31 quotient
000214 | action computed above, not to an arbitrary matched S6 frame.
000215 | 
000216 | When Stab(d)=1, EVERY one of the60 seed flags extends to such a covariant
000217 | map on this finite orbit. Thus covariance alone supplies60 assignments,
000218 | not one. These are mathematical ambiguity witnesses; they are not60
000219 | completed P1 models, new proposed laws, or an assertion that a genuine
000220 | source-response construction cannot single out one member.
000221 | 
000222 | Accordingly, it would be wrong to continue claiming that 'symmetry prevents
000223 | the original state from selecting3+2'. It would be equally wrong to claim
000224 | that complete symmetry breaking has already selected the desired output.
000225 | The missing object has changed from a symmetry-breaking datum to the
000226 | source-derived response/observable map that assigns that datum a flag.
000227 | 
000228 | Reuse, rather than rerun, clock-source-twist-transport-20261015/ADDENDUM.md:
000229 | in its stipulated vacuum representation K_delta=N+|p|^2/2+delta.p,
000230 | all Heisenberg-neutral vacuum words remain in p=0 and cannot see delta.
000231 | Charged intermediate fields CAN see it. This does not cover arbitrary
000232 | overall-neutral words or all E8 events. Another neutral invariant tensor
000233 | does not implement the missing charged state pullback.
000234 |