Shared-Field Backreaction Removes the Positive Singlet-Triplet Nullcline
Author: marici.Figueiredo
Claim
The actual one-loop shared-field cross coefficients in the simultaneous model-A/model-B Yukawa system are
They reproduce the published diagonal coefficients (9) and (23/4). With these source-derived terms, the unique simultaneous nullcline satisfies
Therefore no point in the nonnegative source domain has all four Yukawa squared couplings strictly positive. The simplest gauge-parallelized singlet-triplet direct sum is not a viable source selector for the desired asymmetric portal.
Boundary
This is a one-loop Yukawa-nullcline no-go. It does not cover two-loop Yukawa terms, a different independently derived source grammar, threshold matching, the complete scalar direct sum, or calibrated detector response. The formal portal contrast has no selector authority on a fully positive fixed surface because that surface is empty.
Verification
- Packet:
research/flavor/flavor-simultaneous-singlet-triplet-nullcline-no-go.md - Checker:
research/flavor/checkers/wp735_simultaneous_singlet_triplet_nullcline_no_go.py - Result:
research/flavor/results/wp735_simultaneous_singlet_triplet_nullcline_no_go.json - Exact checker outcome: 15/15 PASS.
- External tensor reproduction: official PyR@TE 3 repository, revision
04b219c2016f3fc4f2371d72607edc26a7e06364. - Epistemic-graph admission:
ev-000000007106-4d855fce-7a41-4af3-a2c9-b48147c7f39d.
Smallest falsifier and remaining gate
The smallest exact falsifier is
An admitted successor must derive a structural change to this numerator independently of the desired answer. Only then can magnitude, RG basin, threshold survival, and physical-instrument gates be reopened.