Conditional result
Six Hodge responses have an exact common current barycenter
In the question: Common clock sectors, quartic geometry and operational reconstruction
Barycenter requires no distinguished Omega. Uniform current contraction, physical record access and execution remain explicit conditional operations. Unique scalar fixed line is not a physical time law. Do not identify this channel with C60, old family transfer or a physical event rate.
Read the exact result, assumptions and evidence
Result
Each of15 nontrivial Pauli current directions occurs in two of6 ovoids. Thus Psi_current=(1/6)sumPhi_Omega=(1/9)sum15 Ad(D_Gamma), gain9I10 and spectrum1[1],(5/9)[15],(-1/9)[84]. All15 current vectors occupy source-frame eigenvalue8. Rank15 E15_coeff=(4/3)XX† obeys sum E_Omega_coeff=2E15_coeff. Physical effects E_Omega_coeffᵀ/2 plus failure give Phi_Omega/30 branches, total Psi_current/5. Choi eigenvalues8/60 and2/3 prove sharp p≤1/5.
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.
- Native Pauli clock family with marked F20 inclusion
Use actual native Pauli four, frozen sigma, transported scalar-square theta alpha, and explicit native C,G word pair intertwined with v419. Retain all six alternating Pauli forms. Do not assume P1 selects this conjugate F20, one form, or any current contraction.
- Coherent Stinespring record of actual single source event
Use actual60 uniformlyweightedsourceoperations withtheirphases anddilationVsrc=sum_l|l>⊗U_l/sqrt60. GrantcoherentaccesstothisC60record andactivemeasurementofspecifiedeffectasresource. Reducedchannelalonedoesnotprovephysicalrecordcarrier ormeasurement. MarkedOmega andSpin5transportremainexplicitcarrierdata.
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:six-hodge-responses-have-exact-full-current-barycenter