DYNAMIC MODULATION OF RELATIVISTIC COLOR-DIPOLE FIELDS: A UNIFIED THEORY FOR MASS SINGULARITY RESOLUTION AND DARK MATTER PHENOMENOLOGY

MANUSCRIPT FOR THEORETICAL PHYSICS (VERSION 2.0 - UPDATED) Title: Dynamic Modulation of Relativistic Color-Dipole Fields: A Unified Theory for Mass Singularity Resolution and Dark Matter Phenomenology Author: Volkan Çelik, Independent Researcher / Chemist ORCID: 0009-0004-8177-9905 ABSTRACT (V2.0 Update): This updated manuscript (Version 2.0) introduces a groundbreaking expansion of the Dynamic Modulation Theory (DMT). While Version 1 established the theoretical resolution of the Lorentz singularity (v → c), this version provides a comprehensive empirical validation using the SPARC (Spitzer Photometry and Accurate Rotation Curves) dataset. Key Updates in Version 2.0: Empirical Validation: Numerical simulations of 175 galaxies demonstrate that the DMT framework predicts galactic rotation curves with a statistical accuracy of R^2 = 0.941 without the need for Dark Matter particles (WIMPs). Unified Field Integration: The "Dark Matter" phenomenon is mathematically reformulated as a macroscopic manifestation of vacuum field impedance (stiffness) induced by orbital velocities. Singularity Resolution: Further refinement of the Saturation Scale (Qs) as a finite limit for effective energy, replacing the traditional E→∞ divergence. LHC & EIC Predictions: Detailed resolution of the "Ridge Effect" in high-multiplicity collisions and a specific prediction for the "Plateau Effect" in upcoming Electron-Ion Collider (EIC) experiments. Keywords: QCD, Color-Dipole Model, Dark Matter, Singularity Resolution, SPARC Data, Field Impedance, R^2 = 0.94.