Electrons and their heavier cousins are not different types of matter, but just different harmonic notes played on a universal field.
The three generations of leptons like the electron and muon have vastly different masses that appeared to be random constants of nature. This framework shows these masses are actually discrete eigenmodes of a four-dimensional spectral manifold. Each particle corresponds to a specific vibration or soliton within a fundamental field. This explains why particles have the specific weights they do instead of just accepting them as arbitrary numbers. Understanding these vibrations could allow physicists to predict the properties of yet-to-be-discovered particles.
Spectral Origin of Leptonic Mass Generations in the Dynamical Fourier Field Framework
research_square · rs-9271438
Abstract We present a derivation of the charged lepton mass hierarchy — electron, muon, and tau — within the Dynamical Fourier Field (DFF) framework. By shifting the physical ontology from a pre-existing spacetime background to a fundamental 4-dimensional spectral manifold K, we demonstrate that leptons emerge not as point-particles with arbitrary Yukawa couplings, but as discrete, stable coherence knots (topological solitons) within the spectral field Φ(k, s). Using a variational approach, we d