Frequency Flow Theory: An Exploratory Entropy Framework for Sunflower-Free Families

Corrected research-note version, 2026-04-25. This version replaces the earlier proof-claim presentation of Frequency Flow Theory with a corrected exploratory research note. It explicitly withdraws reliance on the earlier complete-proof language and states that the manuscript does not prove the asserted asymptotic formula for sunflower-free families. The claim m(n,k) = Theta((k/(k-1))^n) is not established by this work. The corrected manuscript keeps only the exploratory framework: coordinate projections, overlap accounting, entropy decompositions, and blocking constraints as possible tools for future study. This new version includes a correction notice and a revised manuscript PDF. The older Version 2.0 PDF remains available only in the previous Zenodo version as an archived proof attempt with known defects.