TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/e-series-source-reconstruction-20261024/native_clock_conjugacy.py
Original file SHA-256: 93c50855843792bad67ba86b805048a72ba45dd71a9d958250b6232fafc673dc
Inclusive original lines: 170-221
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
Conversation metadata and personal execution details are omitted where indicated.

000170 |     for a in sigma_queue:
000171 |         for vector,covector in reflection_data:
000172 |             d = sum(u*v for u,v in zip(a,covector))
000173 |             image = tuple((u-d*v) % 3 for u,v in zip(a,vector))
000174 |             if image not in sigma_orbit:
000175 |                 sigma_orbit.add(image)
000176 |                 sigma_queue.append(image)
000177 |     need(sigma_orbit == matching, "ALL matching compiler clocks form one actual carrier-Weyl orbit")
000178 |     sigma_torus = (B/2)*sp.Matrix(sigma_representative)/3
000179 |     # Keeping the old sigma frozen is expressly impossible: this crossing
000180 |     # root has opposite kappa phases before and after the old sigma.
000181 |     crossing = (0,0,0,0,2,2,0,0)
000182 |     need(degree(crossing) != degree(tuple(old["sigma_standard"]*sp.Matrix(crossing))),
000183 |          "a joint conjugator must transport sigma, not freeze it")
000184 |     result = {
000185 |         "research_id":"MATH.SEAM.ESERIES.SOURCE-RECONSTRUCTION.06.NATIVE-CLOCK",
000186 |         "finite_certificate":"PASS",
000187 |         "toral_four_torsion_candidates":65536,
000188 |         "points_with_actual_native_J_character":len(selected),
000189 |         "matching_actual_Weyl_orbits":1,
000190 |         "kappa_integral_torus_residue":representative,
000191 |         "kappa_half_coordinate_generator":["1/2"]*5+["0"]*3,
000192 |         "kappa_square":"gamma: +1 on D8, -1 on its spinor sector",
000193 |         "V1_character_1_i_minus1_minusi":[60,64,60,64],
000194 |         "full_compiler_flags":len(root_kernels),
000195 |         "primitive_inverse_clocks_per_flag":2,
000196 |         "A3_frames":len(a3_count),
000197 |         "native_compiler_C12_character":c_character,
000198 |         "cubic_torus_candidates":len(sigma_candidates),
000199 |         "matching_cubic_points":len(matching),
000200 |         "matching_carrier_Weyl_orbits":1,
000201 |         "sigma_torus_integral_residue_mod3":sigma_representative,
000202 |         "sigma_torus_standard_coordinates":[str(t) for t in sigma_torus],
000203 |         "analytic_consequence":"The whole cyclic native compiler is unitary-inner-conjugate to ct=kappa*exp(2pi i sigma_torus(0)); ct^9=kappa and ct^4=sigma_torus. The native-J fixed VOA is a conjugate of V_D5 tensor V_A3.",
000204 |         "proof_only":["compact E8 torus conjugacy and no diagram outer automorphisms",
000205 |                       "E8 lattice VOA is generated by its weight-one affine E8 algebra",
000206 |                       "existence of an inner conjugator, not a selected microscopic map"],
000207 |         "scope":"Full unitary E8 field automorphisms and transported Cartan/compiler charts. Conjugator need not preserve the original lattice Cartan, marking or sign-only lift subgroup.",
000208 |         "fundamental_physical_source":"NOT DERIVED",
000209 |         "source_sha256":old["PINS"],
000210 |         "promotion":False,
000211 |     }
000212 |     return result
000213 | 
000214 | 
000215 | if __name__ == "__main__":
000216 |     parser = argparse.ArgumentParser()
000217 |     parser.add_argument("--output",type=Path,default=HERE/"native-clock-conjugacy-results.json")
000218 |     args = parser.parse_args()
000219 |     result = calculate()
000220 |     args.output.write_text(json.dumps(result,indent=2)+"\n")
000221 |     print(json.dumps(result,indent=2))