Established in scope
Original trace ansatz and explicit axial dual map
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact tensor identity and scoped check of the original field label. No identity of the earlier propagating and later auxiliary-field actions: derivative order, signs, parity, measure, contour, reference, periods and state/time require complete transport. No added Holst term. Preserve E8, compiler, clocks, flavor, alpha and current full source in their scopes.
Read the exact result, assumptions and evidence
Result
The complete antisymmetrization of the earliest gradient-metric ansatz called axial is zero. In its constant frame its trace is 3dphi/2 and norm 3(dphi)^2/2. With the same Lorentz metric *T_vec=-epsilon*dphi/2, so K_ax=-*T_vec for S=dphi; T_ax=2K_ax requires factor -2. The earliest written local current vanishes for every constant phi and does not select its claimed numerical constant.
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.
- Actual earliest trace ansatz and complete later axial action
J25-TRACE supplies d^[m(phi*g^n]r), J25-CURRENT the quoted local current. P25-L supplies K=epsilon*S/2, its auxiliary equation, epsilon_lower0123=+1, dimensionless phase and C=epsilon*A*F. The original field maps and local action are evaluated in their actual scope; no new physical model is chosen.
Original evidence
- HISTORICAL-ORIGINAL-FIELD-MAP-AND-CURRENT.txt lines 1–55
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-ORIGINAL-FIELD-MAP-AND-CURRENT.txt
00518f3e9908e21ea425bd8caa79f926d63d7b6e7924b601d4d17da2edb096e9
finding:hist20261103j-trace-axial-hodge-map