Article
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Application of the Shannon Entropy in the Construction of a Paraconsistent Model of the Atom
Version 1
: Received: 20 November 2019 / Approved: 21 November 2019 / Online: 21 November 2019 (10:41:58 CET)
Version 2 : Received: 20 February 2020 / Approved: 24 February 2020 / Online: 24 February 2020 (04:04:11 CET)
Version 2 : Received: 20 February 2020 / Approved: 24 February 2020 / Online: 24 February 2020 (04:04:11 CET)
How to cite: da Silva Filho, J. I. Application of the Shannon Entropy in the Construction of a Paraconsistent Model of the Atom. Preprints 2019, 2019110250. https://doi.org/10.20944/preprints201911.0250.v1 da Silva Filho, J. I. Application of the Shannon Entropy in the Construction of a Paraconsistent Model of the Atom. Preprints 2019, 2019110250. https://doi.org/10.20944/preprints201911.0250.v1
Abstract
In this work, we present a model of the atom that is based on nonclassical logic called paraconsistent logic (PL), which has the main property of accepting the contradiction in logical interpretations without the conclusions being annulled. The model proposed in this work is constructed with the extension of PL called paraconsistent annotated logic with annotation of two values (PAL2v) that is associated with an interlaced bilattice of four vertices. We used the logarithmic function of the Shannon entropy H(s) with the inclusion of the normalized Planck constant ħ to construct the paraconsistent equations. Through the analyses of the interlaced bilattice, comparative values are obtained for some of the phenomena and effects of quantum mechanics, such as superposition of states, quantum entanglement, wave functions, and equations that determine the energy levels of the layers of the atom. At the end of this article, we use the hydrogen atom as the basis of the representation of the PAL2v model, where the values of the energy levels in six orbital layers are obtained. As an example, we present a possible method of applying the PAL2v model to the use of Raman spectroscopy signals in quality detection of lubricating mineral oil.
Keywords
quantum information; shannon entropy; quantum physics; paraconsistent logic; mathematics and computing
Subject
Physical Sciences, Applied Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (2)
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Commenter: Paulo Marcelo Tasinaffo
The commenter has declared there is no conflict of interests.
"In this work, we will present an analogy between the modes of use of probability in the Shannon entropy function and the Bernoulli distribution to determine the probability value p of the paraconsistent analysis."
I strongly recommend your publication in this high academic journal.
Sincerely,
Prof. Paulo M. Tasinaffo.
Commenter:
The commenter has declared there is no conflict of interests.