Table of Contents:
  • <p>We propose that mass, relativistic inertia, and the speed of light limit emerge from a single dynamic mechanism: a spiral vortex of the fundamental field φ. In this framework, particles are stable configurations of a continuous field that organizes into spiral structures due to intrinsic viscosity and angular momentum conservation.</p> <p>Considering the proton as a saturated vortex of radius R_p, we derive:</p> <p><strong>m_p = (ℏ·R_p)/(l_P²·c)</strong></p> <p>which reproduces the measured proton mass with <strong>1.26% error</strong> using only fundamental constants ℏ, c, and the experimental radius R_p. Nuclear density emerges naturally, giving ρ_p ≈ 6×10¹⁷ kg/m³, in agreement with observed values.</p> <p>The model demonstrates that:</p> <ul> <li>Mass is field friction in a compressed vortex</li> <li>The speed of light c is the maximum field vorticity (not a postulate)</li> <li>Dark matter is the deformed field around baryonic nodes</li> <li>Black holes are macroscopic saturated vortices</li> <li>The Compton wavelength is the unrolled spiral projection</li> </ul> <p>Special relativity emerges as kinematic phenomenology of spiral dynamics. All phenomena—mass, c, inertia, gravity, dark matter—derive from the same φ³ spiral mechanism.</p> <p><strong>Zero free parameters. Geometric derivation. Falsifiable predictions.<br><br><br></strong></p> <p><strong>Appendix A</strong><br>Supplementary appendix deriving a geometric energy threshold for proton formation at the GeV scale and its connection with baryon production onset observed in LHC collisions.<strong><br></strong></p>