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A Supersymmetry and Quantum Cryptosystem with Path Integral Approach in Biology

by 1,2,*,†, 3,4,*,† and 5,*,†
1
Dipartimento di Fisica “E. Pancini”, Universitá di Napoli “Federico II”, University Complex of Monste S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
2
INFN Sezione di Napoli, University Complex ofMonste S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
3
Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 043 53 Košice, Slovakia
4
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
5
Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovakia
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(8), 1214; https://doi.org/10.3390/sym12081214
Received: 15 June 2020 / Revised: 15 July 2020 / Accepted: 20 July 2020 / Published: 24 July 2020
(This article belongs to the Section Physics and Symmetry/Asymmetry)
The source of cancerous mutations and the relationship to telomeres is explained in an alternative way. We define the smallest subunit in the genetic code as a loop braid group element. The loop braid group is suitable to be defined as a configuration space in the process of converting the information written in the DNA into the structure of a folded protein. This smallest subunit, or a flying ring in our definition, is a representation of 8-spinor field in the supermanifold of the genetic code. The image of spectral analysis from the tensor correlation of mutation genes as our biological system is produced. We apply the loop braid group for biology and authentication in quantum cryptography to understand the cell cocycle and division mechanism of telomerase aging. A quantum biological cryptosystem is used to detect cancer signatures in 36 genotypes of the bone ALX1 cancer gene. The loop braid group with the RSA algorithm is applied for the calculation of public and private keys as cancer signatures in genes. The key role of this approach is the use of the Chern–Simons current and then the fiber bundle representation of the genetic code that allows a quantization procedure. View Full-Text
Keywords: loop braid group; mutation; quantum cryptography; Chern–Simons current loop braid group; mutation; quantum cryptography; Chern–Simons current
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MDPI and ACS Style

Capozziello, S.; Pinčák, R.; Bartoš, E. A Supersymmetry and Quantum Cryptosystem with Path Integral Approach in Biology. Symmetry 2020, 12, 1214. https://doi.org/10.3390/sym12081214

AMA Style

Capozziello S, Pinčák R, Bartoš E. A Supersymmetry and Quantum Cryptosystem with Path Integral Approach in Biology. Symmetry. 2020; 12(8):1214. https://doi.org/10.3390/sym12081214

Chicago/Turabian Style

Capozziello, Salvatore, Richard Pinčák, and Erik Bartoš. 2020. "A Supersymmetry and Quantum Cryptosystem with Path Integral Approach in Biology" Symmetry 12, no. 8: 1214. https://doi.org/10.3390/sym12081214

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