Established in scope
Original weak quartic action has a genuine nonlinear response
In the question: Automated construction of operator maps and sources
Retains given E2 admissibility and Yukawa seed. Euclidean GammaD4 and stated potential use distinct sign conventions. Zero first X derivative is not a no-go for whole G responses. Bound primitive variation retains reference, gap, reflection, eta and domains. Does not prove that B_mu is the E2 tangent or impose fixed-background QY as a universal origin condition.
Read the exact result, assumptions and evidence
Result
Original Metrology already contains E_rel=-R I48/4-(Phi*Phi)P2+gammaF/2 and the weak E2 potential. Along admissible Phi=s varphi the first E response vanishes, second equals-2(varphi*varphi)P2; the potential has explicit nonzero second and fourth responses and a nonzero radial minimum for positive coefficients. The supplied scalar collar crossblock likewise has zero first but explicit nonzero second variation. No new free quartic ansatz is needed.
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 gap-normalized relative P1 action
Original source defines chi_seed=1/lambda_1^+(|B_Sigma|), S_prim=Tr f(D_rel/chi)-Tr f(D_ref/chi)+i pi Deltaeta/2 for declared spectral test profile. D_rel/ref are geometric odd/even parts; varying reflection, boundary domains, reference, state and eta must be retained. This is the given source function, not a new coupling or physical event rule. Scalar quarter CAR realization and NS/native field dictionary remain explicitly conditional.
- Given finite SM representation with symbolic Yukawa inputs
Use only the existing v252/v254 representation with C⊕H⊕M3, already supplied color/weak modules and four symbolic complex3×3 Yukawa blocks. No physical values are chosen or fitted. Classify the particle LR one-form block; no proof of the full real96-dimensional fluctuation with antiparticles, JAJ and Majorana sector is claimed.
Original evidence
- BMU-ORIGINAL-ACTION-FIRST-RESPONSE-REVIEW.txt lines 1–115
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/BMU-ORIGINAL-ACTION-FIRST-RESPONSE-REVIEW.txt
aadcd7fdf4d184f554b48614409c5082feeb4134f4058b161b0a986a5095d32d
finding:original-weak-quartic-action-has-nonzero-nonlinear-response