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Wave-like behaviour in binary sequences

2022-04-14 15:05:27
E. Canessa
arXiv_SD
 
Abstract

This work presents a comprehensive study of the properties of finite (0,1) binary systems from the mathematical viewpoint of quantum theory where a complex wavefunction $\psi_{n}$ is considered as an analogous probability measure. This is a quantum-inspired extension of the GenomeBits model to characterise observed genome sequences, where $\psi_{n}$ is related to an alternating (0,1) binary series having independent distributed terms. The real and imaginary spectrum of $\psi_{n}$ {\emph vs.} the nucleotide base positions display characteristic features of sound waves.

Abstract (translated)

URL

https://arxiv.org/abs/2204.10289

PDF

https://arxiv.org/pdf/2204.10289.pdf

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