Infinity Algebra and the Rejection of Closed Timelike Curves: Disproofs of Incomplete Frameworks in Relativity

Infinity Algebra and the Rejection of Closed Timelike Curves: Disproofs of Incomplete Frameworks in Relativity | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 18 February 2026 V1 Latest version Share on Infinity Algebra and the Rejection of Closed Timelike Curves: Disproofs of Incomplete Frameworks in Relativity Author : Antonios Valamontes 0009-0008-5616-7746 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177143748.89865017/v1 119 views 152 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Closed timelike curves (CTCs) have long presented paradoxes and logical challenges within the context of general relativity. Proposed constructs such as Gödel's rotating universe, the Tipler cylinder, traversable wormholes, and the inner regions of Kerr black holes all theoretically allow CTCs-but only under unphysical assumptions such as infinite mass, negative energy, or cosmological rotation. This paper introduces Infinity Algebra as a symbolic and structural framework that replaces such pathological geometries with a consistent algebraic encoding of time, causality, and recurrence. We demonstrate that CTCs do not emerge under Infinity Algebra, not by constraint, but by coherent symbolic substitution. The analysis shows how CTCs are artifacts of incomplete frameworks and idealized conditions-disproved in physical reality by cosmological observations and thermodynamic consistency. Infinity Algebra thus offers a causally consistent, infinite-dimensional alternative to curved-loop solutions. Supplementary Material File (infinity_algebra_and_the_rejection_of_closed_timelike_curves__disproofs_of_incomplete_frameworks_in_relativity.pdf) Download 175.15 KB Information & Authors Information Version history V1 Version 1 18 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords fields, waves and electromagnetics infinity algebra quantum gravity Authors Affiliations Antonios Valamontes 0009-0008-5616-7746 [email protected] Kapodistrian Academy of Science View all articles by this author Metrics & Citations Metrics Article Usage 119 views 152 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Antonios Valamontes. Infinity Algebra and the Rejection of Closed Timelike Curves: Disproofs of Incomplete Frameworks in Relativity. Authorea . 18 February 2026. DOI: https://doi.org/10.22541/au.177143748.89865017/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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