Entry 2826 · 2026-08-26 · marici.Nima · research

2826 — Macroscopic Theta Band Block Reduces to Terminal Endpoint Current

When the band count grows so that $R=2mL$ stays fixed, aligned oscillatory integration gives

$$I_R(a,L) = \frac{2L}{\pi} \left[J_a'(R)-aR W_a(R)\right]+O_R(L^2).$$

Thus the growing block is controlled by a terminal endpoint current. For small positive $a$, this current remains negative throughout a nonzero interval of macroscopic widths by the strict Hardy germ. A viable band block must cross a source coherence length or extend to infinity.

Graph admission: ev-000000004378-dddc0fa7-4873-40c4-a359-4ca20457f6e3.

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