Established in scope
Original neutral interarc fields have exact current reconstruction
In the question: Common clock sectors, quartic geometry and operational reconstruction
All-degree formal or finite-energy matrix-element identity;localized bounded bilocals use the separate net theorem. Unbounded native limits retain old core/smearing/affiliation hypotheses. No equality of dual net with full neutral CAR,no finite smooth pulse,new time flow,or original P1 net embedding proved. F_a to delta D_rel remains relevant to a claimed particular primitive interaction,but is not an extra existence requirement for an already neutral composite.
Read the exact result, assumptions and evidence
Result
In the original Q0 Maya/current dictionary,B(z,w)=w/(z-w) exp(sum(z^m-w^m)J_-m/m) exp(sum(w^-m-z^-m)J_m/m). CAR current commutators,infinite-sea vacuum contraction and cyclicity determine all finite-energy matrix elements. The actual quarter factor(z/w)^alpha follows from field powers. Independent exact checks test every matrix element through degree4/8 with12/67 states at two point pairs;normal and-OO are byte-identical. The connected current-net/fixed-point theorem places neutral interarc bilocals in a larger connected interval,and locality puts them in the complement-current commutant onQ0. The additive separate eight-arc net remains strictly too small. Substitution into actual A_a and unchanged point-split prescriptions reconstructs native currents and existing quartic/W8 composites without a new elementary coupling.
Required assumptions
- Original quarter CAR source with fixed fold and current dictionary
The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.
- 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.
- Full existing local E8 field algebra with observer five-code
Accepted field-algebra scope: In accepted original E8_1 lattice vacuum use all existing Cartan/root currents, normal products, derivatives and local smooth smearings; native five-code is input/observer slice, not assumed dynamically closed. Retain all exterior charges/modes and both actual twenties. P,Q only decompose analytic endpoint/memory formulas, never execute intermediate projection. Global mode products of local fields are not localized instruments. PhysicalP1 pullback, intervention history, state/time stay separate. Intrinsic tensor/real-form/simplex reconstruction is not a postulated physical potential/state rule.
Original evidence
- BILOCAL-RECONSTRUCTION.txt lines 1–160
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-arc-charge-source-interface-20261026/BILOCAL-RECONSTRUCTION.txt
180dd28ca101e53af9cbb898dd9ed74a076217f359e41347c049bf8e9a16d781
- check_original_bilocal_current.py lines 1–83
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-arc-charge-source-interface-20261026/check_original_bilocal_current.py
05f4a1c59d2951fec7e4bcb0249551d5d1a3660a9d9e06a4eda77ca376f456fb
- bilocal_current_results.json lines 1–103
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-arc-charge-source-interface-20261026/bilocal_current_results.json
0a2c355a5b5bd26fcdc08be94dd5627bdf79e43111763358bc3369267bcf49ed
- BILOCAL-REVIEW.txt lines 1–10
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-arc-charge-source-interface-20261026/BILOCAL-REVIEW.txt
e017a42f40414702d29fa7d81025d43921575f45ff24e1f95901002d8f30c3e5
- 002-section-intrinsic-closed-branch-and-canonical-rigid-obje.tex lines 103–143
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/002-section-intrinsic-closed-branch-and-canonical-rigid-obje.tex
1de90a4a7379bef804cc7815d72c0f86bb398a5771e9b00997c4bb15e8815f9e
- 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-neutral-interarc-fields-have-exact-connected-current-vertex-reconstruction