https://doi.org/10.1140/epjp/s13360-023-04247-z
Regular Article
Contributions of p-adic power spectrum to chaos
Center for Research and Training in Innovative Techniques of Applied Mathematics in Engineering, University Politehnica of Bucharest, 060042, Bucharest, Romania
Received:
14
April
2023
Accepted:
2
July
2023
Published online:
17
July
2023
In this paper, we define the p-adic fluorescence spectrum and discuss the possibility of measuring it. The main idea is that, according to Ostrowski’s theorem, the field of rational numbers can be completed topologically with both real numbers and p-adic numbers, and according to the principle of democracy, both possibilities should be equally involved in completing the experimental data. We show that the contribution of monochromatic light to the fluorescence spectrum is equal to the ordinary contribution. For thermal light, we consider several forms of the Green function and calculate the corresponding p-adic power spectra. We conclude that we have situations where the spectrum behaves chaotically, and this is due to the fact that there is an interdependence between p-adic numbers, fractals and chaos theory.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
