TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/uniqueness/THREE-CABLED-HARDY-SEAM-REVIEW.txt
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Inclusive original lines: 201-258
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000201 | relative to the equally cabled scalar reference.
000202 | 
000203 | N64 itself continues to act on H^0(O(2Theta)); the Hardy quotient line is
000204 | one-dimensional and does not independently derive that Heisenberg action.
000205 | Tensoring the accepted theta module with the line (6) gives the already
000206 | proved full finite package.  This distinction prevents a line calculation
000207 | from being overstated as a new derivation of the theta representation.
000208 | 
000209 | 
000210 | 5. EXACT SCOPE OF THE POSITIVE CONNECTION
000211 | 
000212 | The construction proves a canonical mathematical arrow
000213 | 
000214 |   three-cabled spin Hardy shift / three-cabled scalar Hardy shift
000215 |       -> N_q(S_0)^(-1).                                       (13)
000216 | 
000217 | It uses only the existing source curve, its original z coordinate, the
000218 | selected spin line and the disk bounded by the original four branch values.
000219 | It does not choose an arbitrary point-evaluation operator after the fact.
000220 | Together with the original primitive index-one seam, the higher-winding
000221 | calculation selects this literal one-copy power within the mathematical
000222 | Hardy sewing contract.
000223 | 
000224 | Three physical identifications remain outside this theorem:
000225 | 
000226 |   * the actual P1 seam circle and its polarization must be identified with
000227 |     the z-boundary Hardy polarization used here;
000228 | 
000229 |   * the original state, reflection and Calderon domain must induce the same
000230 |     spin and scalar relative defect ratio;
000231 | 
000232 |   * the source action must use this relative line, rather than a separate
000233 |     zeta determinant or Pfaffian normalization.
000234 | 
000235 | The construction is therefore a substantially stronger positive source
000236 | candidate than the earlier abstract evaluation sequence.  It is not yet a
000237 | claim that the real physical domain or OS state has been identified.
000238 | 
000239 | 
000240 | FILES CHECKED
000241 | 
000242 |   * research-20261027-boundary-origin/source/
000243 |     check_three_cabled_seam.py
000244 | 
000245 |   * research-20261027-boundary-origin/source/
000246 |     three-cabled-seam.json
000247 | 
000248 |   * research-20261027-boundary-origin/source/
000249 |     ORIGINAL-BOUNDARY-NORM-ORIGIN.txt
000250 | 
000251 |   * research-20261027-boundary-origin/originals/
000252 |     INVERSE-Q-POINT-NORM-ORIGIN.txt
000253 | 
000254 |   * research-20261026-real-boundary/
000255 |     MARKED-Q-DIVISOR-CENTRAL-TWIST.txt
000256 | 
000257 |   * research-20261026-real-boundary/
000258 |     SPIN-RIGIDIFIED-THETA-MODULE.txt