TFPT scientific source excerpt Original repository path: experiments/theory-contracts/recursive-mirrored-source-20261103/BROWSER-BOUNDARY-SOURCE-REVIEW.txt Original file SHA-256: ac8a5bb25b611e45a6f70a42250351fa19ed75b68b7cba514843085c2a86abd7 Inclusive original lines: 1-103 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 | ORIGINAL BOUNDARY SOURCE IDENTITY: CLOCK AND RECONSTRUCTION REVIEW 000002 | 3 November 2026. BROWSER20261103B. Original-source review, no new model. 000003 | 000004 | Purpose 000005 | 000006 | Continue the complete original S_adm/H_tr,pos/joint physical spectrum task 000007 | through the original boundary route retained by REC20261103E. Preserve the 000008 | whole P1 seed, reference and all previous scoped constructions. This review 000009 | does not require an additional ambient integration if an actual complete 000010 | physical boundary reconstruction is supplied. 000011 | 000012 | 1. What the original boundary checker actually executes 000013 | 000014 | Contract008:329-353 proposes O_phys^bulk/Diff ~= A_Sigma^mu4 conditional 000015 | on SEAM.EQUIV.01 and an actual BW identification. Its v369 checker computes 000016 | Cartan determinants, the finite transfer rate and a gap margin. In 000017 | verification/v369_qgamb_redundancy.py:75-150 the RECONSTRUCTION MAP check 000018 | uses literal True. The subsequent redundancy check assembles the scalar 000019 | discriminators. It does not construct an algebra map, its localization, 000020 | the physical field images, their mixed source moments or their time law. 000021 | No numerical rerun can turn that literal assumption into a construction. 000022 | 000023 | Similarly v366_mmst_seam_collar.py:52-110 sets D=dim_Splus and inclass=True. 000024 | The 8<=8<=16 arithmetic does not supply the identification of internal 000025 | spinor components with physical Majorana fields or the extension map. 000026 | These are observations of the inspected code, not a global no-go. 000027 | 000028 | 2. Primary theorem import has a narrower scope 000029 | 000030 | Bisognano-Wichmann identifies the modular flow of an already specified 000031 | local algebra/vacuum pair with an appropriate geometric boost. It does 000032 | not by itself identify a full bulk theory with a boundary net. 000033 | 000034 | Rehren, Algebraic Holography, hep-th/9905179v4, Corollary1 (pp3-4), uses 000035 | an explicit inclusion/causal-complement preserving bijection between AdS 000036 | wedges and boundary double cones intertwining SO(2,s). Only after that 000037 | identification does Corollary2 transport states and modular data. Page5 000038 | explicitly distinguishes positive global energy from the boundary 000039 | translation/dilatation generators. This review does not introduce an AdS 000040 | geometry into TFPT. It excludes importing this theorem without its map. 000041 | https://arxiv.org/pdf/hep-th/9905179 000042 | 000043 | The already constructed neutral original BW pair remains valid: 000044 | ORIGINAL-STATE-MAP.txt:60-111 in original-local-source-variable-background- 000045 | 20261102, with its cited primary current-net results. Its full carrier 000046 | transport (same file:126-165) carries the SAME source and modular pair; 000047 | it does not establish equality with another unverified source. 000048 | 000049 | 3. An exact original-field test of the proposed inner clock identity 000050 | 000051 | Use the actual nonzero neutral current mode J_-1 on its common invariant 000052 | finite-energy core. The original current representation gives 000053 | [L0^0,J_-1]=J_-1, R=exp(-i*pi*L0^0/2), 000054 | and therefore 000055 | R J_-1 R* = -i J_-1. (1) 000056 | 000057 | Test the specific proposed identification in which a field/time/clock 000058 | intertwiner W sends this original current to a Cartan current j of the 000059 | marked U=(D5)_1 tensor (A3)_1 subnet and sends this SAME R to the inner 000060 | dual glue C4 implementer gamma. That inner dual action fixes U pointwise, 000061 | so gamma j gamma*=j. Intertwining (1) instead gives gamma j gamma*=-i j. 000062 | Thus (1+i)j=0, contradicting j nonzero and invertibility of W. 000063 | 000064 | Consequently that specific original-field/clock identification is 000065 | excluded. This is a source operator test, not dimension matching, a new 000066 | clock choice, an E8 exclusion or a claim about every possible field map. 000067 | No identification of the differently named clocks/deck maps is inferred 000068 | from their order4 labels. A different proposed map must carry its actual 000069 | field and localization dictionary explicitly. 000070 | 000071 | A geometric rotation sends interval algebras to rotated intervals; its 000072 | geometric quotient is not automatically an inner fixed-point subnet at 000073 | the same interval. An orbit-local quotient remains a possible original 000074 | route. No general nonexistence statement about that quotient is made. 000075 | 000076 | 4. Consequence for the complete target 000077 | 000078 | The proposed shortcut A_Sigma^mu4=U with the same original Cartan/quarter 000079 | identification cannot supply the required source equality. Its conditional 000080 | character multiplicities are not a calculated physical TFPT spectrum. 000081 | Positive gap alone does not identify the original physical generator with 000082 | L0, a boost or a modular logarithm. The valid original neutral operators 000083 | P, D and L0 remain distinct and their existing orbit relations are reused. 000084 | 000085 | The whole QFT005 generator is H_adm=H_par+K_Sigma+K_c+K_Theta+K_g+H_tr,pos. 000086 | The spectrum of H_tr,pos alone is not the requested common physical 000087 | spectrum of the coupled source. No full S_adm density, H_tr,pos operator 000088 | or common physical spectrum has been evaluated by this boundary review. 000089 | No new measure/state/geometry, target mass calibration or partial model 000090 | is inserted. F1 and all earlier scoped completions remain unchanged. 000091 | 000092 | Verdict: ORIGINAL_CLOCK_SHORTCUT_EXCLUDED_IN_DECLARED_SCOPE; 000093 | FULL_BOUNDARY_SOURCE_IDENTITY_NOT_DERIVED. 000094 | 000095 | Browser provenance 000096 | 000097 | [OMITTED: non-scientific conversation or execution metadata] 000098 | [OMITTED: non-scientific conversation or execution metadata] 000099 | [OMITTED: non-scientific conversation or execution metadata] 000100 | [OMITTED: non-scientific conversation or execution metadata] 000101 | [OMITTED: non-scientific conversation or execution metadata] 000102 | [OMITTED: non-scientific conversation or execution metadata] 000103 | [OMITTED: non-scientific conversation or execution metadata]