Cohomology theory for financial time series

Kanjamapornkul, Kabin; Pinčák, Richard; Bartoš, Erik

doi:10.1016/j.physa.2019.122212

Cited by 4 publications

(1 citation statement)

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“…We can unify them as a loop braid group in the genetic code. Based on the analogies from the theory of general relativity (e.g., a definition of connection), we combine some more properties of the braid group and Khovanov cohomology [19,20] to them. We redefine the loop braid group by adding some extra properties to them for visualizing the folding structure in the amino acids [21].…”

Section: Introductionmentioning

confidence: 99%

A Supersymmetry and Quantum Cryptosystem with Path Integral Approach in Biology

2020

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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.

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Section: Introductionmentioning

confidence: 99%