Registry · Proposition IV.P149 tau-effective formalized

IV.P149 — Quasi-ergodicity

The irrationality of iota_tau ensures that double rotation on T^2 by angle 2*pi*iota_tau is quasi-ergodic: the orbit of any point is dense in T^2. This follows because iota_tau is irrational (indeed transcendental), so no discrete lattice structure truncates the fiber dynamics.

Book IV Part 1 Ch. 4

Dependency Graph

Depends on (1)

Lean Formalization

Module: TauLib.BookIV.Arena.Tau3Arena

Symbol: Tau.BookIV.Arena.Quasiergodicity