Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model

Quantum Physics arXiv:2512.12342 (quant-ph) [Submitted on 13 Dec 2025] Title:Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model Authors:Fernando Parisio View a PDF of the paper titled Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model, by Fernando Parisio View PDF HTML (experimental) Abstract:In this work, we investigate how quantum coherence can scatter among the several off-diagonal elements of an arbitrary quantum state, defining coherence dispersion ($\Delta_{\rm c}$). It turns out that this easily computable quantity is maximized for intermediate values of an appropriate entropy, a prevalent signature of complexity quantifiers across different fields, from linguistics and information science to evolutionary biology. By focusing on out-of-equilibrium systems, we use the developed framework to address a simplified model of cellular energetics, involving remanent coherence. Within the context of this model, the precise energy of 30.5 kJ/mol (the yield of ATP-ADP conversion) causes the temperature range where $\Delta_{\rm c}$ is maximized to be compatible with temperatures for which unicellular life is reported to exist. Low levels of coherence suffice to support this conclusion. Subjects: Quantum Physics (quant-ph); Biological Physics (physics.bio-ph) Cite as: arXiv:2512.12342 [quant-ph] (or arXiv:2512.12342v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.12342 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Fernando Parisio [view email] [v1] Sat, 13 Dec 2025 14:21:34 UTC (980 KB) Full-text links: Access Paper: View a PDF of the paper titled Coherence Dispersion and Temperature Scales in a Quantum-Biology Toy Model, by Fernando ParisioView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 Change to browse by: physics physics.bio-ph References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)