Elastic Model without mass

AbstractThis paper presents a unified geometric framework in which classical relativistic and quantum horizon equations—specifically Einstein’s perihelion precession, gravitational redshift, rest energy, and Hawking’s black hole thermodynamics—are reformulated strictly through linear spatial dimensions. By replacing inertial mass (M), the gravitational constant (G), and Planck's constant (h_bar) with the outer spatial indentation radius (Rs) and the dual inner quantum vortex radius (Rv) of a discrete elastic vacuum lattice, all physical phenomena across 83 orders of magnitude (from elementary particles to supermassive black holes) are governed by pure ratios of length, area, and pixel counts.