TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/joint-native-algebra-selection-20261016/four_polar_context_algebra_results.json
Original file SHA-256: 269ffa3c7124f93f36db1c437ab22046a84d2d9bca7531396755490b41924a92
Inclusive original lines: 1-55
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.

000001 | {
000002 |   "status": "PASS_EXACT_FOUR_POLAR_CONTEXT_ALGEBRA",
000003 |   "overlap_t": "4*sqrt(6)/25 + 11/25",
000004 |   "four_ray_gram": [
000005 |     [
000006 |       "1",
000007 |       "-1/5",
000008 |       "-1/5",
000009 |       "-1/5"
000010 |     ],
000011 |     [
000012 |       "-1/5",
000013 |       "1",
000014 |       "-1/5",
000015 |       "-1/5"
000016 |     ],
000017 |     [
000018 |       "-1/5",
000019 |       "-1/5",
000020 |       "1",
000021 |       "-1/5"
000022 |     ],
000023 |     [
000024 |       "-1/5",
000025 |       "-1/5",
000026 |       "-1/5",
000027 |       "1"
000028 |     ]
000029 |   ],
000030 |   "polar_generated_algebra": "C direct_sum M4(C)",
000031 |   "polar_commutant_dimension": 2,
000032 |   "polar_algebra_dimension": 17,
000033 |   "pair_commutator_norm_squared": [
000034 |     "33616*sqrt(6)/390625 + 84144/390625",
000035 |     "33616*sqrt(6)/390625 + 84144/390625",
000036 |     "33616*sqrt(6)/390625 + 84144/390625",
000037 |     "33616*sqrt(6)/390625 + 84144/390625",
000038 |     "33616*sqrt(6)/390625 + 84144/390625",
000039 |     "33616*sqrt(6)/390625 + 84144/390625"
000040 |   ],
000041 |   "original_D1_cases": {
000042 |     "1/4": {
000043 |       "cross_block_norm_squared": "7882461/4398046511104",
000044 |       "response_algebra": "M5(C)",
000045 |       "commutant_dimension": 1
000046 |     },
000047 |     "3/4": {
000048 |       "cross_block_norm_squared": "3201175/13194139533312",
000049 |       "response_algebra": "M5(C)",
000050 |       "commutant_dimension": 1
000051 |     }
000052 |   },
000053 |   "source_tensor_sha256": "6d7669311e63517976d142529e74dc996a02ad51703cc09a0ef9c2211edff706",
000054 |   "scope": "Actual finite quartic observation space, fixed global S={0,1}, original polar rule and NS current metric. Algebraic classification and conditional sharp-instrument constraint only. No assertion of physical implementation, full-source superselection, unique q, preferred measurement, or complete TFPT solution."
000055 | }