On a Crucial Role of Gravity in the Formation of Elementary Particles
Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University), 6, Miklukho-Maklaya Street, 117198 Moscow, Russia
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These authors contributed equally to this work.
Universe 2020, 6(11), 193; https://doi.org/10.3390/universe6110193
Received: 15 September 2020 / Revised: 20 October 2020 / Accepted: 20 October 2020 / Published: 23 October 2020
(This article belongs to the Special Issue Selected Papers from the 17th Russian Gravitational Conference —International Conference on Gravitation, Cosmology and Astrophysics (RUSGRAV-17))
We consider the model of minimally interacting electromagnetic, gravitational and massive scalar fields free of any additional nonlinearities. In the dimensionless form, the Lagranginan contains only one parameter which corresponds to the ratio of gravitational and electromagnetic interactions and, for a typical elementary particle, is about in value. However, regular (soliton-like) solutions can exist only for , so that gravity would be necessary to form the structure of an (extended) elementary particle. Unfortunately (in the stationary spherically symmetrical case), the numerical procedure breaks in the range so that whether the particle-like solutions actually exist in the model remains unclear. Nonetheless, for we obtain, making use of the minimal energy requirement, a discrete set of (horizon-free) electrically charged regular solutions of the Planck’s range mass and dimensions (“maximons”, “planckeons”, etc.). In the limit , the model reduces to the well-known coupled system of the Einstein and Klein–Gordon equations. We obtain—to our knowledge—for the first time, the discrete spectrum of neutral soliton-like solutions (“mini-boson stars”, “soliton stars”, etc.)
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MDPI and ACS Style
Alharthy, A.; Kassandrov, V.V. On a Crucial Role of Gravity in the Formation of Elementary Particles. Universe 2020, 6, 193. https://doi.org/10.3390/universe6110193
AMA Style
Alharthy A, Kassandrov VV. On a Crucial Role of Gravity in the Formation of Elementary Particles. Universe. 2020; 6(11):193. https://doi.org/10.3390/universe6110193
Chicago/Turabian StyleAlharthy, Ahmed; Kassandrov, Vladimir V. 2020. "On a Crucial Role of Gravity in the Formation of Elementary Particles" Universe 6, no. 11: 193. https://doi.org/10.3390/universe6110193
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