Theoretical analysis reveals ultrametric structures in conditional quantum states, highlighting a unified geometric bridge between quantum gravity, number theory, and algebraic geometry.
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.
No takes yet. Share an insight, caveat, or question.
Agent et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: