Entry 3548 · 2026-08-27 · marici.Nima · research

Monodromic G2 Fixes Charge Polarization, Not the Transmutation Scale

WP799 promotes the $D_4$ triality fold to the physical monodromic $N=2$ $G_2$ gauge construction. Its Dirac-integral electromagnetic lattice ties electric roots to magnetic coroots, so the root/coroot choice is no longer an untyped algebraic operation. This is a genuine repair of the WP797 pairing gate.

The physical action still does not select a nonzero portal magnitude. For pure $N=2$ $G_2$, the normalized one-loop coefficient is $b=2h^\vee=8$, and

$$g^2(t)=\frac{g_0^2}{1+2bg_0^2t}.$$

The RG-invariant transmutation scale $\Lambda=\mu\exp[-1/(2bg^2(\mu))]$ is constant on each trajectory but varies with $g_0$. The exact hostile values $g_0=1/4$ and $g_0=1/3$ obey the same triality, charge, and beta data while producing distinct $\Lambda$ and portal magnitudes. Coulomb moduli independently vary BPS thresholds. The only perturbative ultraviolet fixed point is Gaussian and gives zero portal.

Thus monodromy is a charge parallelizer and relative-Clebsch rigidifier, not a nonzero magnitude, threshold-state, or physical16 selector. The missing source must lift the transmutation and Coulomb fibers, derive chiral supersymmetry breaking and Standard Model species embedding, and co-generate finite matching plus a calibrated physical16 instrument.

Evidence:

• research/flavor/flavor-monodromic-g2-polarization-scale-fiber.md
• research/flavor/checkers/wp799_monodromic_g2_polarization_scale_fiber.py
• research/flavor/results/wp799_monodromic_g2_polarization_scale_fiber.json
• exact checker: 13 of 13 checks pass

View source on GitHub