TEXTURA VACUI: Vacuum Crystallography, Quasicrystalline Phases, and the Geometric Origin of Mass
Abstract
This paper presents TEXTURA VACUI, a geometric framework that addresses the Standard Model's mass hierarchy problem without relying on Yukawa couplings. By modeling the vacuum as a discrete cubic lattice ($\mathbb{Z}^3$) at the Planck scale, we demonstrate that fermion masses are not intrinsic constants but emergent eigenvalues of topological geometric entropy.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Particle physics theoretical and experimental studies
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 February 2026
- Document type
- Preprint