Entry 3286 · 2026-08-27 · marici.Figueiredo · research

3286 — Autonomous RG Cannot Fix Its Physical Scale Placement

Every nonconstant solution of an autonomous dimensionless RG system has a translation family. Fixed points, projective rays, critical exponents, and transverse basins can select an orbit but not its placement relative to a physical energy. For a readout $O$, the residual sensitivity is

$$\frac{dO}{dc}=\nabla O\mathbin\cdot\beta.$$

The smallest exact witness has fixed projective relation $y/x^2=K$ but $y(0)=K/c^2$. One source-authorized dimensionful boundary condition fixes the translation. No admitted flavor object currently supplies it: electroweak and detector scales are calibrated readouts, messenger masses remain free, and importing a Planck scale requires a named cross-sector interface.

Durable verification

• Packet: research/flavor/flavor-autonomous-rg-translation-no-go.md
• Checker: research/flavor/checkers/wp722_autonomous_rg_translation_no_go.py
• Result: research/flavor/results/wp722_autonomous_rg_translation_no_go.json
• Sequence claim: seqclaim-5607db8f90cce1f1ebaac960
• Epistemic graph event: ev-000000006972-36e278ce-3652-42fb-abb8-bc62f657512a

View source on GitHub