TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-FIXED-APS-COUNTERCHECK.json
Original file SHA-256: ec497180fb73cc68f3220c01a81b5e0d1f00eb19b8ae0a9bf8ceb19ceb06d478
Inclusive original lines: 1-34
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 |   "p": "1/4",
000003 |   "m": "1/3",
000004 |   "E": "5/12",
000005 |   "h_squared_equals_E_squared": true,
000006 |   "coupled_negative_projector": [
000007 |     [
000008 |       "1/5",
000009 |       "2*I/5"
000010 |     ],
000011 |     [
000012 |       "-2*I/5",
000013 |       "4/5"
000014 |     ]
000015 |   ],
000016 |   "forbidden_initial_component": [
000017 |     [
000018 |       "1/5",
000019 |       "2*I/5"
000020 |     ],
000021 |     [
000022 |       "0",
000023 |       "0"
000024 |     ]
000025 |   ],
000026 |   "forbidden_initial_HS_squared": "1/5",
000027 |   "candidate_G_at_0_s_for_s_positive": "-exp(-5s/12) P_minus(h)",
000028 |   "fixed_APS_boundary_requires": "(I-P_minus(h0)) G(0,s)=0",
000029 |   "candidate_boundary_HS_squared": "exp(-5s/6)/5 > 0",
000030 |   "fixed_reference_exterior_transfer_ratio": "exp(-ell/4)*(cosh(5ell/12)+(3/5)*sinh(5ell/12))",
000031 |   "moving_vacuum_ratio": "exp(ell/6)",
000032 |   "ratio_of_fixed_to_moving": "4/5+(1/5)*exp(-5ell/6)",
000033 |   "scope": "Exact constant odd mass block within existing charged collar. Tests fixed APS reference versus moving APS(B_Phi); not a full P1 countermodel or choice of physical vacuum."
000034 | }