THE GEOMETRIC INEVITABILITY: SUPPLEMENT  The Axiomatic Resolution of the Cosmological Coincidence Problem via  Vacuum Topology     

THE GEOMETRIC INEVITABILITY: SUPPLEMENT The Axiomatic Resolution of the Cosmological Coincidence Problem via Vacuum Topology | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 23 February 2026 V1 Latest version Share on THE GEOMETRIC INEVITABILITY: SUPPLEMENT The Axiomatic Resolution of the Cosmological Coincidence Problem via Vacuum Topology Author : Heiko Grimberg 0009-0008-9039-4176 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177187965.57522175/v1 259 views 170 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Standard Model of Cosmology (ΛCDM) is currently facing the "Cosmological Coincidence Problem": the inexplicable observation that we appear to live in a highly privileged, transient epoch where the energy density of Dark Energy (Ω_Λ) and Matter (Ω_m) are of the same order of magnitude. Standard physics attributes this to an extreme statistical anomaly, often invoking the Anthropic Principle. This document provides a strictly geometric, zero-parameter (k = 0) resolution to this problem. By utilizing the Unified Chronofractal Field (UCF) framework, we demonstrate that the energy density of the universe is not a time-dependent dynamic variable, but a static topological invariant of the vacuum hardware. We prove that a geometrically flat universe (Ω_total = 1) is the direct physical manifestation of the Golden Ratio conjugate equation: ν + ν² = 1. By applying the previously established volumetric expansion boost (β) for local measurements within a saturated medium, we derive an apparent local measurement of Ω_Λ,apparent ≈ 68.71% and Ω_m,apparent ≈ 31.29%. These purely geometric derivations match the Planck 2018 observational data precisely, eliminating the need for cosmic fine-tuning. Supplementary Material File (30_the_axiomatic_resolution_of_the_cosmological_coincidence_problem_via_vacuum_topology.pdf) Download 326.76 KB Information & Authors Information Version history V1 Version 1 23 February 2026 Copyright This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License Keywords cosmological coincidence problem dark energy geometric inevitability hubble tension human-ai symbiosis lambda-cdm anomalies planck 2018 s8 tension ucf unified chronofractal field vacuum topology zero-parameter physics Authors Affiliations Heiko Grimberg 0009-0008-9039-4176 [email protected] Human-AI Research Symbiosis View all articles by this author Metrics & Citations Metrics Article Usage 259 views 170 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Heiko Grimberg. THE GEOMETRIC INEVITABILITY: SUPPLEMENT The Axiomatic Resolution of the Cosmological Coincidence Problem via Vacuum Topology . 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