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Kinematic Censorship as a Constraint on Allowed Scenarios of High-Energy Particle Collisions

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Abstract

In the recent years, it was found that the energy Ec.m. in the center of mass frame of two colliding particles can be unbounded near black holes. If a collision occurs precisely on the horizon, Ec.m. is formally infinite. However, in any physically reasonable situation this is impossible. We collect different scenarios of this kind and show why in every act of collision Ec.m. is indeed finite (although it can be as large as one likes). The factors preventing an infinite energy are diverse: the necessity of infinite proper time, infinite tidal forces, potential barrier, etc. This prompts us to formulate a general principle according to which the limits in which Ec.m.→ 8 are never achieved. We call this the kinematic censorship (KC). Although by itself the validity of KC is quite natural, its application allows one to forbid scenarios of collisions predicting infinite Ec.m. without going into details. The KC is valid even in the test particle approximation, so an explanation of why Ec.m. cannot be infinite does not require references (common in the literature) to a nonlinear regime, back-reaction, etc. The KC remains valid not only for freely moving particles but also if particles are subject to a finite force. For an individual particle, we consider a light-like continuous limit of a timelike trajectory in which the effective mass turns to zero. We show that it cannot be accelerated to an infinite energy during a finite proper time under the action of such a force. As an example, we consider the dynamics of a scalar particle interacting with a background scalar field.

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Acknowledgments

O. Z. is grateful to Serguei Krasnikov and Alexey Toporensky for a discussion of Sec. 2 and to Kirill Bronnikov for interest in the materials of Sec. 3.

Funding

This work was supported by the Russian Government Program of Competitive Growth of Kazan Federal University. The work of Yu.P. was also supported by the Russian Foundation for Basic Research, grant No. 18-02-00461-a.

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Authors and Affiliations

  1. Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia

    Yu. V. Pavlov

  2. N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, 420008, Russia

    Yu. V. Pavlov & O. B. Zaslavskii

  3. Department of Physics and Technology, Kharkov V.N. Karazin National University, Kharkov, 61022, Ukraine

    O. B. Zaslavskii

Authors
  1. Yu. V. Pavlov
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  2. O. B. Zaslavskii
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Correspondence to Yu. V. Pavlov or O. B. Zaslavskii.

Additional information

The present issue of the journal is No. 100 since it was founded in 1995.

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Pavlov, Y.V., Zaslavskii, O.B. Kinematic Censorship as a Constraint on Allowed Scenarios of High-Energy Particle Collisions. Gravit. Cosmol. 25, 390–396 (2019). https://doi.org/10.1134/S0202289319040091

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  • DOI: https://doi.org/10.1134/S0202289319040091

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