Speckmann Lattice-Resonance Theory (SLRT): A Discrete Resonance Lattice as the Fundamental Structure of Spacetime

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Authors: Daniel Speckmann
Cited by: 0

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