Biological Feigenbaum Spectrum (BFS) Timestamp Memorandum: Mechanism-Dependent Deviations from Classical Feigenbaum Universality in Biological Period-Doubling Cascades

Biological Feigenbaum Spectrum (BFS) Timestamp Memorandum: Mechanism-Dependent Deviations from Classical Feigenbaum Universality in Biological Period-Doubling Cascades | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 31 March 2026 V1 Latest version Share on Biological Feigenbaum Spectrum (BFS) Timestamp Memorandum: Mechanism-Dependent Deviations from Classical Feigenbaum Universality in Biological Period-Doubling Cascades Author : Devin Romberger 0000-0002-3550-3199 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177499356.68193881/v1 108 views 47 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This memorandum places into the public scientific record a compact, independently testable empirical finding: a hypothesis-testing cohort of biological period-doubling systems exhibits systematic, mechanism-dependent deviations from the classical Feigenbaum constant (δ ≈ 4.669), while physical and mathematical control systems remain tightly concentrated near δ ≈ 4.669. The dataset consists of 16 systems (10 biological + 6 controls) with canonical δ values extracted from the literature or digitizable bifurcation evidence and recorded under fixed selection rules. Two non-parametric tests show complete separation (i) between biological deviations and control deviations (Mann-Whitney U = 60/60, exact p ≈ 1.25 × 10⁻⁴) and (ii) between two biological mechanism-defined tiers (Tier 1 vs Tier 2: U = 0/21, exact p = 0.00833), with a 2.479 δ-unit tier gap and zero overlap. This document is not a final manuscript. The cohort and statistics may change as additional sources are incorporated and the extraction ledger is finalized. A full protocol-forward manuscript including the complete dataset, extraction images, and full reference ledger will follow. This work is a preprint. The original data record and timestamped version are archived at Zenodo: https://doi.org/10.5281/zenodo.18825703 GitHub repository: https://github.com/devinromberger123-prog/rgl-scaling Software DOI: https://doi.org/10.5281/zenodo.19212391 Supplementary Material File (biological feigenbaum spectrum v4.pdf) Download 182.66 KB Information & Authors Information Version history V1 Version 1 31 March 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords bifurcation theory biological oscillators critical transitions early warning system fast-slow dynamics feigenbaum constant nonlinear dynamics period-doubling period-doubling cascade physiological complexity renormalization group Authors Affiliations Devin Romberger 0000-0002-3550-3199 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 108 views 47 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Devin Romberger. Biological Feigenbaum Spectrum (BFS) Timestamp Memorandum: Mechanism-Dependent Deviations from Classical Feigenbaum Universality in Biological Period-Doubling Cascades. Authorea . 31 March 2026. DOI: https://doi.org/10.22541/au.177499356.68193881/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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