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Contributions of p-adic power spectrum to chaos

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Abstract

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.

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Authors and Affiliations

  1. Center for Research and Training in Innovative Techniques of Applied Mathematics in Engineering, University Politehnica of Bucharest, 060042, Bucharest, Romania

    Octavian Postavaru

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  1. Octavian Postavaru
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Correspondence to Octavian Postavaru.

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No funds, grants, or other support was received. The authors have no financial or proprietary interests in any material discussed in this article. Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Postavaru, O. Contributions of p-adic power spectrum to chaos. Eur. Phys. J. Plus 138, 623 (2023). https://doi.org/10.1140/epjp/s13360-023-04247-z

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