TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/collective-native-marginal-origin-20261026/dynamics_results.json
Original file SHA-256: 4d6ab1df704cb1ace891a30a87e4cad61317265cf7cfaa5ff4e704dbb78a4fd0
Inclusive original lines: 1-99
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 |   "analytic_consequence": "Any operator commuting with all horizontal E8 zero modes cannot have precisely this C5 as an isolated eigen/ground space in the full grade4 source; applies to the screened W8 zero mode if used as such a selector",
000003 |   "arithmetic": "Gaussian/int64 tensor identities and exact rational/symbolic witness",
000004 |   "generator_nonuniqueness": "L_t=(3I-K)(I+tK),t>=0, shares top-five kernel; remaining eigenvalues3/2*(1+3t/2) and3. This is a finite polynomial-family witness, not full P1 countermodels.",
000005 |   "kernel": "K_ab=<z_a,z_b>^4=F*F",
000006 |   "kernel_spectrum": {
000007 |     "0": 25,
000008 |     "3": 5,
000009 |     "3/2": 30
000010 |   },
000011 |   "magnitude_only_kernel": {
000012 |     "perron_eigenvalue": 6,
000013 |     "perron_multiplicity": 1,
000014 |     "square_strictly_positive": true
000015 |   },
000016 |   "negative_triangle": {
000017 |     "indices": [
000018 |       0,
000019 |       1,
000020 |       2
000021 |     ],
000022 |     "product": "-1/64",
000023 |     "roots": [
000024 |       [
000025 |         -2,
000026 |         0,
000027 |         0,
000028 |         0,
000029 |         0,
000030 |         0,
000031 |         0,
000032 |         0
000033 |       ],
000034 |       [
000035 |         -1,
000036 |         -1,
000037 |         -1,
000038 |         -1,
000039 |         0,
000040 |         0,
000041 |         0,
000042 |         0
000043 |       ],
000044 |       [
000045 |         -1,
000046 |         -1,
000047 |         -1,
000048 |         1,
000049 |         0,
000050 |         0,
000051 |         0,
000052 |         0
000053 |       ]
000054 |     ]
000055 |   },
000056 |   "not_claimed": [
000057 |     "Actual physical60-site network",
000058 |     "Physical identification of Gram with energy",
000059 |     "All rotated-code or open-system exclusion",
000060 |     "W8 cannot contribute to larger E8 multiplets or state-dependent dynamics",
000061 |     "Complete TFPT origin or 3+2/clock/seed selection"
000062 |   ],
000063 |   "overlap": {
000064 |     "adjacent_intersection": 0,
000065 |     "adjacent_isometry_overlap": "(1/4) permutation20",
000066 |     "all_identical_overlapping_blocks": "zero intersection for overlap sizes1,2,3 by symmetry transport; no independently rotated-code classification",
000067 |     "native_parent_pair_lower_bound": "3/8",
000068 |     "projector_penalty_spectrum": {
000069 |       "2": 984,
000070 |       "3/4": 20,
000071 |       "5/4": 20
000072 |     }
000073 |   },
000074 |   "root_zero_mode": {
000075 |     "alpha": "sqrt2 e0 in original Gaussian chart",
000076 |     "charged_partition3_coefficient": "sqrt(3)/36",
000077 |     "charged_partition3_norm_squared": "1/144",
000078 |     "input": "f0=sum_a(u_a.h(-1))^4/sqrt96",
000079 |     "outside_charge_zero_code": true
000080 |   },
000081 |   "row_counts": {
000082 |     "-1/4": 12,
000083 |     "0": 15,
000084 |     "1": 1,
000085 |     "1/16": 32
000086 |   },
000087 |   "source_metric": {
000088 |     "conformal_energy": "L0=4 on all35 one-mode quartics",
000089 |     "generalized_problem": "4 K c=E K c; E=4 on rank35 support",
000090 |     "pseudoinverse": "K+=(7K-2K^2)/9",
000091 |     "whitened_frame": "F K+ F*=Pi_sym4"
000092 |   },
000093 |   "source_sha256": {
000094 |     "experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-COMPLETION.txt": "2a075b2f0fc18c4133175eec20ef9b173fff7b23c3b66ef18c80c8505785f6c1",
000095 |     "tfpt_explorer/cartan_source.py": "b3e7963152999ab098111bc9971f237cd63a57975aa2f1d29614d3c994cd30c0",
000096 |     "tfpt_explorer/process.py": "e8db5fcd999c9d4c34fbee548aa2c85e1a515cf03663a62355533439ae0f1c94"
000097 |   },
000098 |   "verdict": "EXACT_FINITE_DUALITY_AND_COMPATIBILITY_BOUNDARIES; PHYSICAL_ORIGIN_OPEN"
000099 | }