Registry · Definition
V.D26
tau-effective
formalized
V.D26 — Refinement Progression Rate
The refinement progression rate H(n) := ell(Delta_n)/ell(Delta_{n+1}) = p_{n+1}/p_n = q_{n+1} is the ratio of consecutive alpha-tick lengths. It equals the (n+1)-th prime, growing monotonically and producing a super-exponential suppression of tick length analogous to inflationary expansion.
Book V
Part 1
Ch. 6