Speckmann Lattice-Resonance Theory (SLRT): A Discrete Resonance Lattice as the Fundamental Structure of Spacetime
Abstract
We propose that spacetime is not a smooth continuum but a discrete, static lattice of exponentiallylocalized resonances. The stress-energy tensor is constructed as a sum over these modes, with aspectral weighting that naturally regulates the vacuum energy. The first three modes are identifiedwith the three generations of charged leptons; their masses obey the Koide relation, which appearsas the Fourier decomposition of a circulant 3 × 3 matrix on a torus. New results: (1) The Koidephase δℓ = 2/9 is derived without free parameters from the Z3 symmetry of the cubic lattice. (2) Theanalogous derivation for the hexagonal neutrino lattice yields δν = 1/9; the ratio δℓ/δν = 2 is exact.(3) The Higgs mass follows geometrically from mH ≈ √mtmZ ≈ 125.6 GeV (deviation 0.3%). (4)The predicted neutrino masses satisfy P mν ≈ (3/δν ) mvac = 27 mvac with 0.8% deviation, wheremvac = ρ1/4DE ≈ 2.3 meV is the vacuum energy scale.
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
- 26 February 2026
- Language
- EN
- Document type
- Preprint