The Salter Coherence Equation: A Mathematical Framework for Complex Systems applied in Financial Markets

The Salter Coherence Equation: A Mathematical Framework for Complex Systems applied in Financial Markets | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 14 July 2025 V1 Latest version Share on The Salter Coherence Equation: A Mathematical Framework for Complex Systems applied in Financial Markets Author : Bruno Wayne Salter 0000-0003-2643-3229 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175251398.80696256/v1 309 views 124 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Salter Equation offers a novel mathematical framework to quantify coherence in complex systems through coupling, symmetry, and recursive dynamics. The equation models emergent coherence as 1+1=1 or MM1 + MM2 = CC, where two meanings (nodes) synthesize into a singular coherent state. This paper applies the equation to global financial markets, meticulously detailing the step-by-step derivation of each input parameter (A and B) from quantifiable economic and market sentiment indicators. We analyze pre-2008 entropy (S=1.5), post-2008 stabilization (2009: S=1.572, 2011-2012: S=1.05), and 2025's mild incoherence (S=1.125). The equation's symmetry score and inversion law reveal stability and paradoxical coherence, applicable to disparate disciplines like cosmology, economics, sociology, biology and artificial intelligence (AI) ethics. Supplementary Material File (the salter coherence equation on financial predictions.pdf) Download 424.25 KB Information & Authors Information Version history V1 Version 1 14 July 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords coherence economic collapses economics financial predictive model salter equation Authors Affiliations Bruno Wayne Salter 0000-0003-2643-3229 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 309 views 124 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Bruno Wayne Salter. 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