QST DSI verification Report

The QST DSI Verification Report, authored by QSTtheory Eddy Chow and dated June 19, 2025, validates the Discrete-Self-Similarity (DSI) component of the QST v6.2 model using the dataset all_redshifts_PVs.csv from the PantheonPlusSH0ES DataRelease. DSI is the primary amplification term in the predicted dark-to-baryon ratio, defined as ( f_{\rm DSI} = 1 + \frac{A_{\rm peak} - a_6}{a_6} ), where ( A_{\rm peak} ) is a quadratic function of ( \ln \lambda ) (( \lambda = R_{\rm sys} / r_h )). The report analyzes 1,238 rows of complete radius data, computing ( f_{\rm DSI} ) and ancillary factors via the fsci_solver.jl function. Statistical tests, including scatter analysis, Kolmogorov–Smirnov, and Lomb-Scargle periodogram, confirm a six-layer DSI structure with a log-period of 1.003, consistent with the theoretical ( \ln(\phi^2) ). A 9.1% amplitude aligns with cluster mass-to-light ratios, and moderate correlations (Pearson ρ: 0.55–0.62) with other factors support QST v6.2 predictions. Visual checks show 93% of data within the theoretical band, reinforcing model consistency. The report concludes that ( R_{\rm sys} ) and ( r_h ) suffice to validate DSI, directing future research toward other factors for residual discrepancies.