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

04/14/2022

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by   E. Canessa, et al.

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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 ψ_n is considered as an analogous probability measure. This is a quantum-inspired extension of the GenomeBits model to characterise observed genome sequences, where ψ_n is related to an alternating (0,1) binary series having independent distributed terms. The real and imaginary spectrum of ψ_n vs. the nucleotide base positions display characteristic features of sound waves.