Prime-Indexed Discrete Scale Invariance as a Unifying Principle
Year: 2025
Type: article
Abstract: 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 correctionsto scaling with arithmetic-locked frequencies ωp,α = 2π/ ln(pα). We derive statistical tests thatseparate 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; ourfocus is the falsifiable p-DSI core.
Author: Bryan Armstrong
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083200986
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