{"title":"Major Transitions as Groupoid Symmetry-Breaking in Nonergodic Prebiotic, Biological and Social Information Systems","authors":"Rodrick Wallace","doi":"10.1007/s10441-022-09451-5","DOIUrl":null,"url":null,"abstract":"<div><p>We extend the comparatively simple processes of group symmetry-breaking in physical systems to groupoid/equivalence class phase transitions characterizing adiabatically, piecewise stationary, information transmission in prebiotic, biological, and social phenomena: <b>High vs. Low probability paths</b> <span>\\(\\rightarrow\\)</span> <b>Interior and Exterior Interact</b> <span>\\(\\rightarrow\\)</span> <b>Multiple Interacting Tunable Workspaces</b> Application to nonstationary processes seems possible via generalizations of the symmetry algebra, for example, to semigroupoids. The dynamic probability models explored here can be transformed into statistical tools for the analysis of real-time and other data across a spectrum of important disciplines confronted by biological and other forms of cognition and their dysfunctions.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"70 4","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2022-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Biotheoretica","FirstCategoryId":"99","ListUrlMain":"https://link.springer.com/article/10.1007/s10441-022-09451-5","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICAL & COMPUTATIONAL BIOLOGY","Score":null,"Total":0}
引用次数: 1
Abstract
We extend the comparatively simple processes of group symmetry-breaking in physical systems to groupoid/equivalence class phase transitions characterizing adiabatically, piecewise stationary, information transmission in prebiotic, biological, and social phenomena: High vs. Low probability paths\(\rightarrow\)Interior and Exterior Interact\(\rightarrow\)Multiple Interacting Tunable Workspaces Application to nonstationary processes seems possible via generalizations of the symmetry algebra, for example, to semigroupoids. The dynamic probability models explored here can be transformed into statistical tools for the analysis of real-time and other data across a spectrum of important disciplines confronted by biological and other forms of cognition and their dysfunctions.
期刊介绍：
Acta Biotheoretica is devoted to the promotion of theoretical biology, encompassing mathematical biology and the philosophy of biology, paying special attention to the methodology of formation of biological theory.
Papers on all kind of biological theories are welcome. Interesting subjects include philosophy of biology, biomathematics, computational biology, genetics, ecology and morphology. The process of theory formation can be presented in verbal or mathematical form. Moreover, purely methodological papers can be devoted to the historical origins of the philosophy underlying biological theories and concepts.
Papers should contain clear statements of biological assumptions, and where applicable, a justification of their translation into mathematical form and a detailed discussion of the mathematical treatment. The connection to empirical data should be clarified.
Acta Biotheoretica also welcomes critical book reviews, short comments on previous papers and short notes directing attention to interesting new theoretical ideas.
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