Phenomenology of Chan-Paton Defects on Open Strings

Phenomenology of Chan-Paton Defects on Open Strings | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 1 August 2025 V1 Latest version Share on Phenomenology of Chan-Paton Defects on Open Strings Authors : Ryan J. Buchanan 0009-0000-1253-0031 [email protected] and Parker Emmerson 0009-0007-1288-3292 Authors Info & Affiliations https://doi.org/10.22541/au.175407818.81476862/v1 276 views 186 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper investigates the rôle of defects on extended quantum objects by generalizing the Chan-Paton factors of string theory as bimodules, wherein left-and right-actions encode brane dynamics. We introduce the concept of Chan-Paton defects on open strings, which partition the string worldsheet γ into stratified sectors γin and γout, separated by a defect modeled as a pseudoparticle. Both synthetic and analytic formulations are developed. Drawing on braidtheoretic considerations, we derive a generalized spin-statistics master equation that captures the behavior of fractional (anyonic) excitations. We demonstrate that Chan-Paton defects suppress entanglement between external degrees of freedom, attributing this to the dominance of internal interactions between non-defective string sectors. Building on prior investigations of the authors [7, 8], we show that such nonlocal or fractional statistics break epistemic harmony. In particular, we prove that inverse-limit (pyknotic) constructions for anyonic observables fail generically, precluding the existence of a fully nonperturbative anyonic regime. Two sources of this failure are identified: (a) measurement obstructions, and (b) breakdowns in domain-of-discourse-to-truth (DoD2T) mappings. These are addressed in the final section via categorical and modal completions. Taken together, these results suggest a unified framework for interpreting defects as both physical obstructions and semantic failures within extended quantum systems. Supplementary Material File (chanpaton.pdf) Download 401.21 KB Information & Authors Information Version history V1 Version 1 01 August 2025 Copyright This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License Keywords anyons bimodules category theory defects derived algebraic geometry epistemic logic higher spins lattices modal healing modal logic phenomenology pseudoparticles sheaf theory string theory tqft Authors Affiliations Ryan J. Buchanan 0009-0000-1253-0031 [email protected] View all articles by this author Parker Emmerson 0009-0007-1288-3292 View all articles by this author Metrics & Citations Metrics Article Usage 276 views 186 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Ryan J. Buchanan, Parker Emmerson. Phenomenology of Chan-Paton Defects on Open Strings. Authorea . 01 August 2025. 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