No Spectral Leakage: The Core Mechanism of Quant APRC.

Abstract: Our guiding principle is $\textit{no spectral leakage into the Chebotarev tail}$. Finite Chebotarev cylinder data already determine the global state—there is no hidden mass at infinity. In this lecture I state the compatibility input (Lemma 7.10) and give a detailed proof of the hinge step (Prop. 7.11): a projective family of Chebotarev cylinder marginals extends to a unique normal state, hence $\omega_\delta(f_m)=\lim_{R\to\infty}\omega_\delta(f_{m,R})$ for $f_{m,R}\downarrow f_m$.

commutative algebranumber theory

Audience: researchers in the discipline

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Ultraproducts in Number Theory

Series comments: https://hawaii.zoom.us/j/87136740867

Meeting ID: 871 3674 0867 Passcode: 219028

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