Entry 3285 · 2026-08-27 · marici.Figueiredo · research

3285 — A Safe Separatrix Retains One Transmutation-Scale Fiber

Established gauge–Yukawa theories can possess an interacting ultraviolet fixed point and a one-dimensional safe critical surface. For the effective separatrix flow

$$\frac{d\alpha}{dt}=-B\alpha^2+C\alpha^3,$$

the fixed point and projective coupling ratios are calculable, but every solution retains a translation constant $t_0$, equivalently an RG-invariant crossover scale. At a fixed experimental energy,

$$\frac{d}{dt_0}\left[\alpha(C_n-C_m)\right] =\alpha^2(B-C\alpha)(C_n-C_m),$$

which is generically nonzero. The safe separatrix therefore selects the trajectory shape but not the low-energy numerical portal. A detector may identify the crossover scale; that does not make the scale source-derived.

Durable verification

• Packet: research/flavor/flavor-safe-separatrix-transmutation-scale-fiber.md
• Checker: research/flavor/checkers/wp721_safe_separatrix_transmutation_scale_fiber.py
• Result: research/flavor/results/wp721_safe_separatrix_transmutation_scale_fiber.json
• Sequence claim: seqclaim-7f4204e7719f2f67417992fb
• Epistemic graph event: ev-000000006963-03eef8a2-3ef0-47e5-ab73-2a70831f18a4

View source on GitHub