Empirical Validation of the Bivariate Scaling Law in Human Cardiac Dynamics: Geometric Integrity and Exponent Migration in Healthy and Diseased Oscillators

Empirical Validation of the Bivariate Scaling Law in Human Cardiac Dynamics: Geometric Integrity and Exponent Migration in Healthy and Diseased Oscillators | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 24 March 2026 V1 View latest version Share on Empirical Validation of the Bivariate Scaling Law in Human Cardiac Dynamics: Geometric Integrity and Exponent Migration in Healthy and Diseased Oscillators Author : Devin Romberger 0000-0002-3550-3199 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177437417.72101302/v1 156 views 50 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 an empirical validation of the bivariate scaling law Vₑₐₒ(μ, σ) = μ^γ • F(σ/μ^κ) in human cardiac dynamics, using open-access electrocardiographic data from the PhysioNet repository. Using a proprietary extraction mechanism calibrated for biological oscillators, the scaling relationship was applied to ten subjects drawn from two clinically distinct cohorts: five healthy individuals and five individuals diagnosed with congestive heart failure (CHF). Across 444,118 healthy beats and approximately 537,000 CHF beats, the bivariate scaling law was found to hold in both populations, with healthy subjects exhibiting a mean goodness-of-fit of R² = 0.9279 ± 0.017 and CHF subjects exhibiting R² = 0.9004 ± 0.013. A statistically significant reduction in geometric integrity (R²; p = 0.031) was observed in the diseased cohort, alongside a trend toward exponent migration in the scaling exponent p (p = 0.066). These results are consistent with the theoretical prediction that diseased biological oscillators undergo a measurable shift in their stochastic scaling structure as system integrity degrades. This document establishes a timestamped empirical baseline for the cardiac application of the RGL framework and connects these findings to the Biological Feigenbaum Spectrum (BFS) established in prior work (Romberger, 2026). This work is a preprint. The original data record and timestamped version are archived at Zenodo: https://doi.org/10.5281/zenodo.18825703 Supplementary Material File (v2rgl_cardiac_validation_memorandum.pdf) Download 195.06 KB Information & Authors Information Version history V1 Version 1 24 March 2026 V2 Version 2 01 April 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords bivariate scaling law cardiac phase-space mapping geometric integrity index mechanism dependent universality nonlinear dynamics nonlinear regulatory guardrails predictive instability modeling stochastic criticality stochastic spectral-gap exponents universality class migration Authors Affiliations Devin Romberger 0000-0002-3550-3199 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 156 views 50 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Devin Romberger. Empirical Validation of the Bivariate Scaling Law in Human Cardiac Dynamics: Geometric Integrity and Exponent Migration in Healthy and Diseased Oscillators. Authorea . 24 March 2026. DOI: https://doi.org/10.22541/au.177437417.72101302/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. 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