The Mechanical Origin of Mass: Bridging Singularity Optics and Continuum Mechanics via the Vidyabhushan Bounce
Year: 2026
Type: preprint
Abstract: While singularity optics successfully describes topological phase dislocations and orbital angular momentum in massless electromagnetic fields, standard quantum mechanics continues to treat massive fermions as abstract point-particles. This paper extends singularity optics into the subatomic domain using the mechanical principles of the Universal Engine. By modeling space as a compressible, hyperelastic continuum—the Universal Lattice (B_v approx 10^113 Pa)—we demonstrate that mass is not an intrinsic scalar tag, but the physical volumetric strain energy (U_v) trapped when an optical phase singularity closes back onto itself. This localized, 3D toroidal acoustic standing wave (soliton) provides a strictly deterministic, scale-invariant mechanical origin for de Broglie matter waves and Pauli exclusion principles. Furthermore, we extend this scale-invariant model to address the structural evolution of the periodic table beyond the pristine 36-element threshold. We demonstrate that while the first 36 elements represent the complete baseline spectrum of foundational wave geometries (s, p, d), higher-order complexity (f-orbitals) emerges as a structural geometric response to residual structural pre-stress permanently embedded in the vacuum lattice during the 4.08% plastic dissipation phase of the cosmological Vidyabhushan Bounce. Ultimately, this framework establishes a stable, unified bridge between optical physics, quantum chemistry, and mechanical engineering.
Author: Singh, Mukesh Vidyabhushan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204521101