Established in scope
Given two-boundary state does not determine selected epsilon event law
In the question: Common clock sectors, quartic geometry and operational reconstruction
No new free field choice or reopening resolved source bridges. Specific local,time/reflection-compatible P1 embedding of A4+A4 sector and operational epsilon sewing identity remain required source derivation.
Read the exact result, assumptions and evidence
Result
After typed embedding of dual two-hole legs,P5 on fixed sectors is even eight-field word;total contragredient P2 pair charge neutral,individual matrix units only particle-number neutral. Existing bilocal/vertex/GNS theorems transport word if actual local source map given. FullP_A fixes state/word expectations,not input-reference/Choi preparation or Kraus record. In givenE8_1 module,compact50-current Gram delta canonical(raw cocycle26+/24-),gain12 forces inclusiveTP normalization1/12. Using this reader as P1 event operation does not follow from Gram.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Given five-slot exterior source with retained complement index
V=C5 with given oriented unitary slot basis and volume form,H=Lambda²V. C_m[kl,ij]=epsilon(m,i,j,k,l) are five distinct linear maps to conjugate target;their coherent sum is a different operation. Inner products and CAR grading remain explicit. No physical record,coupling or time iteration assumed from exterior algebra alone.
- Given full E8 current source with fixed carrier SU5
Actual weight-one E8 Chevalley source from tfpt_explorer.current_block_geometry._actual_current_source and v498. Given D5/A3 frame uses first5/last3 standard coordinates. Carrier SU5 inside D5 has roots e_i-e_j,i,j<5. Retain full E8 source,cocycle,compact form and group actions. Physical P1 realization of this already given current source is not assumed proved.
- Specified inclusive current response with invariant metric
For an explicitly specified irreducible insertion sector and input/output modules,let B_a be actual current brackets in Killing-orthonormal basis. If sum B_a*B_a=kI,E(rho)=sum B_a rho B_a*/k denotes mathematical inclusive response with unread insertion index. Reduced response uses tensor chart transported by group action. This defines tested reader,not asserted selection of physically executed P1 instrument or original time.
- Original admissibility and graded-source interfaces
v42 defines P_adm through primitive seam/Cauchy,gap,color and determinant conditions; v31 closure assumes an RP CAR kernel without identifying it with the old circle. v42 exp(W_k[J]) is a formal parent integral; spectral action, positive geometric marginal and full graded source are not equated. The separate eta term of the master functional is retained. Seek an original local image, not global Hilbert equivalence.
Original evidence
- P5-OBSERVABLE-IMAGE-AND-INSTRUMENT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/P5-OBSERVABLE-IMAGE-AND-INSTRUMENT.txt
82a532f65e8d77cdad2a00a790f96439026171461e1970fc111746335a321fa9
- P5-OBSERVABLE-IMAGE-AND-INSTRUMENT.txt lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/P5-OBSERVABLE-IMAGE-AND-INSTRUMENT.txt
82a532f65e8d77cdad2a00a790f96439026171461e1970fc111746335a321fa9
- P5-OBSERVABLE-IMAGE-AND-INSTRUMENT.txt lines 401–491
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/P5-OBSERVABLE-IMAGE-AND-INSTRUMENT.txt
82a532f65e8d77cdad2a00a790f96439026171461e1970fc111746335a321fa9
- SOURCE-GRAM-AUDIT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/SOURCE-GRAM-AUDIT.txt
758b0d069c4a132fe6f619e6ff3e9dc615db640f578c5602cd9a6df715277f22
- SOURCE-GRAM-AUDIT.txt lines 201–247
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/SOURCE-GRAM-AUDIT.txt
758b0d069c4a132fe6f619e6ff3e9dc615db640f578c5602cd9a6df715277f22
- COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt
31c1fced2f6feae8c97cfcf547b2965670a94f0da918a127a7a8cfa4aae3267a
- COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt lines 201–263
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt
31c1fced2f6feae8c97cfcf547b2965670a94f0da918a127a7a8cfa4aae3267a
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 302–343
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex
7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79
finding:original-pair-source-fixes-state-but-not-selected-epsilon-process