Established in scope
Native Hodge five is the actual collective five-current action
In the question: Common clock sectors, quartic geometry and operational reconstruction
Exact old A3 descendant operator identity under its given current-net premises. Omega and inclusive five-current contraction are not derived P1 selections. A physical C60 record measurement is unnecessary for this algebraic theorem. No charge-preserving P2 carrier identification.
Read the exact result, assumptions and evidence
Result
In pinned Bell10=Sym²C4 chart the five anticommuting Hermitian Gamma={XI,YX,YY,YZ,ZI} satisfy GammaᵀOmega=OmegaGamma. Collective D_Gamma(P)=(GammaP+PGammaᵀ)/2 equals a signed permutation of canonical native K_m, with D_YX=-K1 and the other stated correspondences. Sum D†D=3I. The old NS current intertwiner, verified on all16 matrix units, gives J0(Gamma/2)E=ED_Gamma; normalized contraction is exactly Phi_native.
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.
- Original Pauli and v419 F20 source words
Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.
- Given local E8_1 vacuum representation and explicit cocycle
Positive level-one E8 lattice vacuum representation in orthonormal D5+D3 coordinates, declared simple-root cocycle, level-one Heisenberg Ward rules and internal quarter character v=(0^5,1/2^3). Insertions are separated. No raw-P1 pullback or physical time law is assumed or derived from this representation.
Original evidence
- CURRENT-FAMILY-AND-NORMALIZATION.txt lines 1–187
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/CURRENT-FAMILY-AND-NORMALIZATION.txt
b6d6a57fe2ed89c27ac62c11f57dde2d222efd5727e1dc2055680e96ae263569
- check_native_gamma_current.py lines 1–88
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/check_native_gamma_current.py
e00ac829026c15d949672601bd5971187a767a23a25424abfbc5defc72be44b8
- native-gamma-current-results.json lines 1–146
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/native-gamma-current-results.json
5b8ee6ccab21c3cdb02c55fe12d42359ce73a623f00336f7e999875e4d22ea4b
- INDEPENDENT-CURRENT-INTEGRATION-REVIEW.txt lines 1–127
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/INDEPENDENT-CURRENT-INTEGRATION-REVIEW.txt
09c4da15cfc7bb72d80c1664015e258d51e7a67f7ca4b47f09853badbc86387f
finding:native-hodge-is-exact-collective-five-current-action