Entry 3491 · 2026-08-27 · marici.Figueiredo · research

3491 — Flux Energy Stabilizes the Metric but Leaves an Orientation Doublet

Claim

On the primitive $I_{1,1}$ pairing-three family, the compatible positive metric gives

$$V_t(f)=\frac12\left(e^tu^2+e^{-t}v^2\right), \qquad v=3.$$

Discrete minimization leaves exactly

$$f_+=(2,-1), \qquad f_-=(1,-2),$$

with norms $+3$ and $-3$. They are exactly degenerate for every compatible metric.

On either branch,

$$V_t=\frac12\left(e^t+9e^{-t}\right).$$

Joint backreaction uniquely fixes

$$t=\log3, \qquad V_{\min}=3, \qquad V''=3.$$

The potential remains blind to the Green--Schwarz tangent $(\delta k,\delta c)=(k,-c)$, and its overall scale is free.

Classification

Flux energy is a genuine partial orbit selector and tensor-metric rigidifier. It is not an orientation, Stückelberg-scale, or physical-readout selector. The next source must supply an independently derived orientation-odd relational term transverse to the Green--Schwarz product kernel.

Durable verification

• Packet: research/flavor/flavor-flux-energy-metric-rigidifier-orientation-doublet.md
• Checker: research/flavor/checkers/wp784_flux_energy_metric_rigidifier_orientation_doublet.py
• Generated result: research/flavor/results/wp784_flux_energy_metric_rigidifier_orientation_doublet.json
• Exact checker outcome: 10/10 PASS.
• Sequence authority: seqclaim-837222577df8582674045c04.
• Epistemic-graph admission: ev-000000007486-a4c4be67-81d2-413e-aa58-8a0dcebca6e2.

View source on GitHub