2010/05/15 by A. Makhlin, Alexander Makhlin, Makhlin, Alexander
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Neutrino Physics Research #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1005.2693
arxiv created 2010/05/15 · openalex publication_date 2010/05/15 · arxiv updated 2010/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The connection between the Dirac field as the field of matter and the spacetime metric is discussed within the framework of classical field theory. Polarization structure of the Dirac field is shown to be rich enough to determine the spacetime metric locally and to explain the emergence of observed matter as localized waveforms. The localization of the waveforms is explained as the result of the local time slowdown and the Lorentz contraction as a dynamic re-shaping of the waveforms in the course of their acceleration. A definition of mass as a limiting curvature of the spinor-induced metric is proposed. A view of the vacuum as a uniformly distributed unit invariant density of the Dirac field with an explicitly preserved invariance of the light cone is brought forward. Qualitative explanation of the observed charge asymmetry as the consequence of the dynamics of localization is given. The origin of the CP-violation is associated with the loss of the Poincare invariance due to localization. Neutrinos are identified with the signals emitted in the abrupt processes of creation or decay of localized objects and the concept of the Majorana neutrino is revisited. The wave equation for the classical pion field is derived from the Dirac equation. Its connection with stresses, mass and charge fluxes in localized waveforms of the Dirac field is traced. Some implications of the finite size of colliding objects for high-energy processes are discussed. A possible difference between the lifetimes and gyromagnetic ratios for positive and negative charges is predicted. A hypothesis that known internal degrees of freedom are the local spacetime (angular) coordinates that have no precise counterparts in Riemannian geometry is proposed.