← NS-DCRP / DCRP-30 · Same-Parent DSS Recurrence, Atom-Free Exponent Window, and Mandatory Tail Escape

NS-DCRP · 30 Proof + Window 2026-08

DCRP-30: Same-Parent DSS Recurrence, Atom-Free Exponent Window, and Mandatory Tail Escape

Proves that a compact, nondegenerate, recurrent same-parent branch is an Euler generalized/discretely self-similar branch, derives the similarity-exponent window, and proves that the atom-free branch necessarily loses the mass of the normalized 'global' kinetic-energy distribution to spatial infinity.

This round's status: Proof + Window — Taken from the file's own objective/executive-result section, meaning preserved, not a full verbatim translation.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

PreviousDCRP-29 · Raw-Energy Atomicity and the Atom-Free Backward-Ancient Survivor
NextDCRP-31 · DSS Radial PFET Rigidity and the Core–Tail Matching Flux
NS-DCRP progress29 / 55

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