TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/check_clustering_admissible_sector.py
Original file SHA-256: 5261ec3aa4ab33d4a0a68d0c7312e57888ccd60ff4cc4a9d2c095fac9220a567
Inclusive original lines: 201-226
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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000201 |         "commutation": "H8 and Z_c are diagonal Cartan actions on lattice charge states, hence [H8,P_sing]=0 on the stipulated extension.",
000202 |         "ground_classification_proof": {
000203 |             "integer_coset": "For nonzero integer n, n^2/2+d*n=n(n/2+d)>0 when |d|<1/2; the unique minimizer is p=0.",
000204 |             "half_coset": "Coordinatewise strict convexity selects +1/2 where d<0 and -1/2 where d>0, hence uniquely p_star; its total energy is zero.",
000205 |             "all_zero_charges": ["0", "p_star"],
000206 |         },
000207 |         "cases": cases,
000208 |         "scope": {
000209 |             "proved": "On the stipulated E8 lattice extension with the fixed Weyl/carrier dictionary, the original color-center projector removes p_star and the center-neutral restriction has a one-dimensional H8 kernel and a positive exact gap.",
000210 |             "not_proved": [
000211 |                 "that raw P1 alone already contains the later carrier projector",
000212 |                 "that P_prim and P_Theta retain the vacuum line",
000213 |                 "that H8 is the reconstructed physical OS transfer Hamiltonian",
000214 |                 "clustering of the full graded field net or a 4D completion",
000215 |             ],
000216 |         },
000217 |         "checks_pass": True,
000218 |     }
000219 | 
000220 |     out = HERE / "clustering-admissible-sector-results.json"
000221 |     out.write_text(json.dumps(result, indent=2, sort_keys=True) + "\n", encoding="utf-8")
000222 |     print(json.dumps(result, indent=2, sort_keys=True))
000223 | 
000224 | 
000225 | if __name__ == "__main__":
000226 |     main()