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.
Categories: physics.bio-ph cs.SD