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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
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 γ=(mG/e)2 which corresponds to the ratio of gravitational and electromagnetic interactions and, for a typical elementary particle, is about 1040 in value. However, regular (soliton-like) solutions can exist only for γ0, 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 γ0.9 so that whether the particle-like solutions actually exist in the model remains unclear. Nonetheless, for γ1 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 γ, 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.) View Full-Text
Keywords: soliton-like solutions; gravitational/electromagnetic ratio; boson stars soliton-like solutions; gravitational/electromagnetic ratio; boson stars
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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 Style

Alharthy, 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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