Established in scope
Original axial action gives explicit kinetic normalization and classical energy
In the question: Recursion, hypergraphs and mirroring at the original joint source
Anonymized historical original derivation,no new helper field/free kinetic choice. Scope is supplied classical axial caller on fixed background. No full quantum source,state selection,spacetime origin or H_tr,pos/spectrum closure;no all-torsion exclusion or universally forced beta=0. Preserve full96 couplings,CARRIER-SOURCE/R113,reference,actual selectors and memory. Private originals/identities remain outside Atlas/skill;mail export not yet certified complete.
Read the exact result, assumptions and evidence
Result
Direct S variation of actually read historical action gives S=lambda*kappa²*da/3 and completing the square gives f_eff²=lambda²*kappa²*mu²/6. Same canonical field change yields g_phys=g0/f_eff. Fixed-background a/Maxwell energy is a sum of positive squares after Gauss reduction. Written U(kappa,L) clauses supply no local a mass potential. Older beta action uses different curvature convention;unchanged gradient substitution yields fourth derivatives and its mass/range numbers are inconsistent.
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 historical axial action with its own conventions
P25-L explicitly uses torsionless hats,signature(+---),dimensionless a and kappa=mu*kappa_phys,K=epsilon S/2,and its complete algebraic S terms. Evaluate that supplied historical action only,no whole current primitive Sadm identity. Classical a/Maxwell positivity only on supplied fixed background with constant real nonzero coefficients and actual Gauss reduction. Quantum elimination retains full reference,boundary,contour and prefactors.
Original evidence
- HISTORICAL-AXIAL-ACTION.txt lines 1–133
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-AXIAL-ACTION.txt
f85e2f42252eaf2f93b9ae5aa3407f6e5c84292c9d022ee7811b7e841e5c001a
finding:hist20261103-original-axial-action-determines-kinetic-normalization