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Wave-like behaviour in (0,1) binary sequences.

ABSTRACT: A comprehensive study of the properties of finite (0,1) binary systems from the mathematical viewpoint of quantum theory is presented. This is a quantum-inspired extension of the GenomeBits model to characterize observed genome sequences, where a complex wavefunction [Formula: see text] is considered as an analogous probability measure and it is related to an alternating (0,1) binary series having independent distributed terms. The real and imaginary spectrum of [Formula: see text] vs. the nucleotide base positions display characteristic features of sound waves. This approach represents a novel perspective for identifying and "observing" emergent properties of genome sequences in the form of wavefunctions via superposition states. The motivation is to develop a simple algorithm to perform wave calculations from binary sequences and to apply these wave functions to sonification.

SUBMITTER: Canessa E

PROVIDER: S-EPMC9383675 | biostudies-literature | 2022 Aug

REPOSITORIES: biostudies-literature

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Wave-like behaviour in (0,1) binary sequences.

Canessa Enrique E

Scientific reports 20220817 1

A comprehensive study of the properties of finite (0,1) binary systems from the mathematical viewpoint of quantum theory is presented. This is a quantum-inspired extension of the GenomeBits model to characterize observed genome sequences, where a complex wavefunction [Formula: see text] is considered as an analogous probability measure and it is related to an alternating (0,1) binary series having independent distributed terms. The real and imaginary spectrum of [Formula: see text] vs. the nucle ...[more]

PMID: 35978136

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