In the pseudo-Euclidean Minkowski space, the four-dimensional volume element is invariant under Lorentz transformations. By hypothesising that in this space there is a minimum volume, it is possible to demonstrate the existence of a maximum acceleration. The volume element cannot be derived from the theory and must be obtained through direct measurement, thus it assumes the role of a bona fide universal constant. Two different estimates of the elementary volume are given, which differ by several orders of magnitude: the first is obtained in a pseudo-Euclidean space for particles with mass, and the second represents an absolute minimum volume, independent of the mass.

Fiordilino E., Di Salvo T., Ciccarello F., Iaria R., Militello B., Roccati F., et al. (2024). Maximum acceleration and quantum clock: on the existence of a new universal constant. PHYSICA SCRIPTA, 99(11) [10.1088/1402-4896/ad818d].

Maximum acceleration and quantum clock: on the existence of a new universal constant

Di Salvo T.;Ciccarello F.;Iaria R.;Militello B.;Roccati F.;
2024-10-14

Abstract

In the pseudo-Euclidean Minkowski space, the four-dimensional volume element is invariant under Lorentz transformations. By hypothesising that in this space there is a minimum volume, it is possible to demonstrate the existence of a maximum acceleration. The volume element cannot be derived from the theory and must be obtained through direct measurement, thus it assumes the role of a bona fide universal constant. Two different estimates of the elementary volume are given, which differ by several orders of magnitude: the first is obtained in a pseudo-Euclidean space for particles with mass, and the second represents an absolute minimum volume, independent of the mass.
14-ott-2024
Settore PHYS-05/A - Astrofisica, cosmologia e scienza dello spazio
Settore PHYS-04/A - Fisica teorica della materia, modelli, metodi matematici e applicazioni
Fiordilino E., Di Salvo T., Ciccarello F., Iaria R., Militello B., Roccati F., et al. (2024). Maximum acceleration and quantum clock: on the existence of a new universal constant. PHYSICA SCRIPTA, 99(11) [10.1088/1402-4896/ad818d].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/664827
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