Point-like sources and the scale of quantum gravity |
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| Authors: | Roberto Casadio Remo Garattini Fabio Scardigli |
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| Institution: | 1. Dipartimento di Fisica, Università di Bologna, and I.N.F.N., Sezione di Bologna, via Irnerio 46, 40126 Bologna, Italy;2. Facoltà di Ingegneria, Università di Bergamo, viale Marconi 5, 24044 Dalmine, and I.N.F.N., Sezione di Milano, via Celoria 16, Milano, Italy;3. Leung Center for Cosmology and Particle Astrophysics (LeCosPA), Department of Physics, National Taiwan University, Taipei 106, Taiwan;4. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | We review the General Relativistic model of a (quasi) point-like particle represented by a massive shell of neutral matter which has vanishing total energy in the small-volume limit. We then show that, by assuming a Generalised Uncertainty Principle, which implies the existence of a minimum length of the order of the Planck scale, the total energy instead remains finite and equal to the shell's proper mass both for very heavy and very light particles. This suggests that the quantum structure of space–time might be related to the classical Equivalence Principle and possible implications for the late stage of evaporating black holes are briefly mentioned. |
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| Keywords: | 04 60 -m 04 60 Bc 04 20 Cv |
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