Radix to Ultrametrics to Page-Wootters to Wheeler-DeWitt to Bruhat-Tits: A Convergent Synthesis (v1.1 — Corrected)

Abstract

When the Wheeler-DeWitt equation eliminates external time, Page-Wootters emergence produces conditional quantum states whose correlations form an ultrametric hierarchy. The radix (prime $p$) characterizes the clock spectrum's self-similarity. Bruhat-Tits buildings become the geometric space of temporal reference frames — uniting quantum gravity, number theory, and algebraic geometry through a single structural principle.