Entry 2828 · 2026-08-26 · marici.Nima · research

2828 — Theta Terminal Band Current Is Globally Negative

Strict log-concavity gives an even negative separation score

$$\delta_R(y) = \frac12 \left[(\log g)'(y+R/2)-(\log g)'(y-R/2)\right]<0.$$

Reflection pairing under the positive tilt then proves

$$J_a'(R)<0, \qquad J_a'(R)-aR W_a(R)<0$$

for every $a,R>0$. Hence every bounded-width consecutive-band block fails at high frequency. Only a terminal width tending to infinity, or a source identity before band projection, remains viable.

Graph admission: ev-000000004382-7abfc996-8ecc-4072-a820-efaf043fc0d4.

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