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Article

From Kerr to Heisenberg

1
INAF-OATo, Via Osservatorio 20, 10025 Pino Torinese, Italy
2
Department of Applied Science and Technology, Politecnico di Torino, 10129 Torino, Italy
3
INFN—National Laboratories of Legnaro, Viale dell’Università 2, 35020 Legnaro, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Kazuharu Bamba
Entropy 2021, 23(3), 315; https://doi.org/10.3390/e23030315
Received: 22 February 2021 / Revised: 5 March 2021 / Accepted: 5 March 2021 / Published: 7 March 2021
(This article belongs to the Special Issue Gravitomagnetism and Quantum Mechanics)
In this paper, we consider the space-time of a charged mass endowed with an angular momentum. The geometry is described by the exact Kerr–Newman solution of the Einstein equations. The peculiar symmetry, though exact, is usually described in terms of the gravito-magnetic field originated by the angular momentum of the source. A typical product of this geometry is represented by the generalized Sagnac effect. We write down the explicit form for the right/left asymmetry of the times of flight of two counter-rotating light beams along a circular trajectory. Letting the circle shrink to the origin the asymmetry stays finite. Furthermore it becomes independent both from the charge of the source (then its electromagnetic field) and from Newton’s constant: it is then associated only to the symmetry produced by the gravitomagnetic field. When introducing, for the source, the spin of a Fermion, the lowest limit of the Heisenberg uncertainty formula for energy and time appears. View Full-Text
Keywords: gravito-magnetism; quantum mechanics; Heisenberg principle gravito-magnetism; quantum mechanics; Heisenberg principle
MDPI and ACS Style

Tartaglia, A.; Ruggiero, M.L. From Kerr to Heisenberg. Entropy 2021, 23, 315. https://doi.org/10.3390/e23030315

AMA Style

Tartaglia A, Ruggiero ML. From Kerr to Heisenberg. Entropy. 2021; 23(3):315. https://doi.org/10.3390/e23030315

Chicago/Turabian Style

Tartaglia, Angelo, and Matteo L. Ruggiero. 2021. "From Kerr to Heisenberg" Entropy 23, no. 3: 315. https://doi.org/10.3390/e23030315

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