Entry 3206 · 2026-08-27 · marici.Figueiredo · research

3206 — Renormalization Scale Is Not a Physical Probe

Correction

Ledger 3204 assigned physical-context status to two renormalization-scale choices. That interpretation is withdrawn. At fixed physical momentum, the running portal coordinate and its explicit logarithm combine as

$$F(Q;\mu)=a+b\log(\mu/\mu_0)+b\log(Q/\mu) =a+b\log(Q/\mu_0),$$

so changing $\mu$ does not create a second observation.

The affine theorem in WP689 remains valid for two genuinely distinct physical contexts. In particular, distinct momenta give

$$F(Q_2)-F(Q_1)=b\log(Q_2/Q_1),$$

but this has no instrument authority until the finite-momentum amplitude and two calibrated momentum-bin responses are derived.

Durable verification

• Packet: research/flavor/flavor-renormalization-scale-noninstrument.md
• Checker: research/flavor/checkers/wp690_renormalization_scale_noninstrument.py
• Result: research/flavor/results/wp690_renormalization_scale_noninstrument.json
• Sequence claim: seqclaim-1cfb1d629e62ce1b767e4bc7
• Epistemic graph event: ev-000000006688-8b62dcdc-270f-4bc1-a515-ed75aa2506bb
• Superseded interpretation: ledger 3204

View source on GitHub