Minimum black hole mass from colliding Gaussian packets

• Published in: The European physical journal. C, Particles and fields Vol. 72; no. 9; pp. 1 - 5
• Main Authors: Casadio, R., Micu, O., Orlandi, A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01-09-2012; Springer; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Black holes; Elementary Particles; Exact sciences and technology; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum theory; Regular Article - Theoretical Physics; String Theory; The physics of elementary particles and fields; Mass Threshold; Standard Model Particle; Black Hole Formation; Black Hole; Horizon Radius; Spherical symmetry; Dynamical evolution; Mass function; Black holes; Elementary particles; Cosmology; Models; Mathematical physics
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-012-2146-3

We study the formation of a black hole in the collision of two Gaussian packets. Rather than following their dynamical evolution in detail, we assume a horizon forms when the mass function for the two packets becomes larger than half the flat areal radius, as it would occur in a spherically symmetric geometry. This simple approximation allows us to determine the existence of a minimum black hole mass solely related to the width of the packets. We then comment on the possible physical implications, both in classical and quantum physics, and models with extra spatial dimensions.