Prime-Indexed Discrete Scale Invariance as a Unifying Principle

We advance prime-indexed discrete scale invariance (p-DSI) as a falsifiable organizing principle:
only rescalings by elements of a prime lattice Λ = {pα : p ∈ P, α > 0} are dynamically privileged.
Interleaving ordinary evolution with recursive quantum collapse yields log-periodic corrections
to scaling with arithmetic-locked frequencies ωp,α = 2π/ ln(pα). We derive statistical tests that
separate prime-fixed spectral combs from strong nulls and outline cross-domain experiments.
Brief mentions of abyssal symmetries and a τ -field (chronofluid) are given only for context; our
focus is the falsifiable p-DSI core.