Measuring Coherence Exhaustion: Operational Detection of Scaling Limits in Complex Systems

Measuring Coherence Exhaustion: Operational Detection of Scaling Limits in Complex Systems | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 11 February 2026 V1 Latest version Share on Measuring Coherence Exhaustion: Operational Detection of Scaling Limits in Complex Systems Author : Peter Brunzelle 0009-0005-7109-6745 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177083708.87479540/v1 121 views 60 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Complex systems degrade at scale when constraint burden exceeds available control capacity. Prior work introduced the Constraint-based Epistemology of Scaling (CES), defining coherence budget exhaustion as the transition where constraint geometry dominates system behavior. Practical deployment, however, requires operational detection methods capable of identifying approaching exhaustion before collapse occurs. This work introduces measurable diagnostics for coherence exhaustion using residual correlation growth, cascade propagation analysis, and decay of control effectiveness. These methods distinguish geometry-driven degradation from independent noise and enable early detection of systemic scaling limits across computing, networked, biological, and organizational systems. By operationalizing CES detection, this paper establishes practical tools for monitoring and managing scalability limits before catastrophic system failure emerges. Supplementary Material File (measuring_coherence_exhaustion__operational_detection_of_scaling_limits_in_complex_systems (1).pdf) Download 205.49 KB Information & Authors Information Version history V1 Version 1 11 February 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords cascade dynamics coherence exhaustion complex systems constraint accumulation constraint-based epistemology of scaling control capacity correlation analysis failure propagation residual correlation scaling limits system resilience Authors Affiliations Peter Brunzelle 0009-0005-7109-6745 [email protected] Convergence Sciences Initiative View all articles by this author Metrics & Citations Metrics Article Usage 121 views 60 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Peter Brunzelle. Measuring Coherence Exhaustion: Operational Detection of Scaling Limits in Complex Systems. Authorea . 11 February 2026. DOI: https://doi.org/10.22541/au.177083708.87479540/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 . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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