Positive-Energy Dirac Particles and Dark Matter

• Published in: Universe (Basel) Vol. 10; no. 5; p. 222
• Main Author: Bogomolny, Eugene
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2024; MDPI
• Subjects: Dark matter; Dark matter (Astronomy); Dirac equation; Electromagnetic fields; Electromagnetism; Energy; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenology; High Energy Physics - Theory; infinite-dimensional representation; new Dirac equation; Particles (Nuclear physics); Physics; France; Dirac; coupling; minimal; new physics; electromagnetic field; Lorentz; Dirac equation; particle; dark matter; structure; group
• ISSN: 2218-1997; 2218-1997
• DOI: 10.3390/universe10050222

The relativistic positive-energy wave equation proposed by P. Dirac in 1971 is an old but largely forgotten subject. The purpose of this note is to speculate that particles described by this equation (called here Dirac particles) are natural candidates for the dark matter. The reasoning is based on a fact that the internal structure of such particles simply prohibits their interaction with electromagnetic fields (at least with the minimal coupling) which is exactly what is required for dark matter. Dirac particles have quite unusual properties. In particular, they are transformed by an infinite-dimensional representation of the homogeneous Lorentz group, which clearly distinguishes them from all known elementary particles described by finite-dimensional representations and hints to a physics beyond the Standard Model. To clarify the topic, a brief review of the main features of the above-mentioned Dirac equation is given.