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Entry 3282 · 2026-08-27 · marici.Figueiredo · research

3282 — A Fixed Point Selects No Low-Energy Portal without a Threshold Trajectory

For an isolated fixed portal p∗p_*, affine threshold matching gives

plow=p∗+Aρ.p_{\mathrm{low}}=p_*+A\rho.

The contrast covector d=(1,−1)d=(1,-1) survives arbitrary relevant threshold motion exactly when dA=0dA=0, unless the source uniquely fixes every visible component of ρ\rho. Thus an interacting fixed point selects only the pre-threshold coordinate unless it also fixes its relevant trajectory.

After matching, an unlabelled total detector channel annihilates the contrast direction. Two independently calibrated representation-labelled channels are the minimal linear readout that preserves it. The required source explanation must therefore compose fixed point, relevant deformation, threshold map, and instrument.

Durable verification

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