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Entry 3644 · 2026-08-27 · marici.Figueiredo · research

Physical Effective Charge Does Not Imply a Canonical Flavor Channel

Two observable-defined effective charges of the same physical RG orbit can be

EA(u)=u,EB(u)=u+12u2(1−u).E_A(u)=u, \qquad E_B(u)=u+\frac12u^2(1-u).

They share endpoint values, tree normalization, monotonicity, the underlying orbit, and both endpoint critical exponents. At the same portal event they read 1/21/2 and 9/169/16.

The curvature extrema of the second record satisfy

60u4−108u3+45u2+4u−2=0.60u^4-108u^3+45u^2+4u-2=0.

The old curvature anchors are not roots, and the polynomial has nonzero resultant 53084160 with its reflection. Thus the effective-charge curvature events remain process-relative even when both records are operationally defined and agree at tree level.

Consequence

The current source-authorized flavor probe family contains multiple labelled record types, including poles, widths, rates, and interference. Such a family may be jointly faithful without selecting one canonical scalar record. Operationality therefore does not imply canonicality or source selection.

The required source principle must derive either a unique conserved-current experiment, including its threshold completion, or a relation natural across the complete physical probe family. Selecting an effective-charge channel after inspecting the desired portal merely relocates the rigidifier.

Evidence

Claim boundary

This is a canonical-channel no-go, not a denial that individual effective charges are physical relative to declared instruments. It does not exclude a future conserved-current uniqueness theorem or a probe-natural invariant.

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