{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/wave-like-behaviour-in-01-binary-sequences","title":"Wave-like behaviour in (0,1) binary sequences","arxiv_id":"2204.10289","date":"2022-04-14","proceeding":null,"authors":["E. Canessa"],"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.","url_abs":"https://arxiv.org/abs/2204.10289v1","url_pdf":"https://arxiv.org/pdf/2204.10289v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"wave-like-behaviour-in-01-binary-sequences","repo_url":"https://github.com/canessae/genomebits-waves","is_official":0,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}