Abstract
This paper presents a novel theoretical framework based on information geometry and scale-dependent dimensionality that offers unified explanations for phenomena across all physical scales. The proposed dimensional flow theory demonstrates how effective dimensionality varies with scale, creating a natural hierarchy that explains quantum behaviors as projections from lower-dimensional spaces to higher-dimensional observation space. This approach resolves quantum paradoxes while preserving determinism and locality at the fundamental level. The framework successfully derives the mass spectrum of elementary particles and coupling constants from dimensional parameters, establishing a geometric foundation for the Standard Model without fine-tuning. At galactic scales, the theory provides excellent agreement with SPARC database observations of rotation curves without invoking dark matter. Cosmologically, it reinterprets redshift observations as manifestations of a static universe with a dimensional gradient, rather than an expanding universe. This eliminates the need for inflation, dark energy, and a beginning of time, while maintaining consistency with observational constraints. Gravitational phenomena emerge from dimensional gradients rather than spacetime curvature, and cosmic microwave background features appear as dimensional tomography rather than echoes of a primordial state. The framework's remarkable predictive power across diverse phenomena, coupled with its significant reduction in free parameters compared to current models, suggests that physical reality may be fundamentally based on information-geometric principles and scale-dependent dimensionality rather than an evolving spacetime.
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THE INFORMATION-GEOMETRIC THEORY OF DIMENSIONAL FLOW: EXPLAINING QUANTUM PHENOMENA, MASS, DARK ENERGY AND GRAVITY WITHOUT SPACETIME | 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 April 2025 V1 Latest version Share on THE INFORMATION-GEOMETRIC THEORY OF DIMENSIONAL FLOW: EXPLAINING QUANTUM PHENOMENA, MASS, DARK ENERGY AND GRAVITY WITHOUT SPACETIME Author : Mikhail Liashkov 0009-0002-3734-8441 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174465991.15301736/v1 296 views 150 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper presents a novel theoretical framework based on information geometry and scale-dependent dimensionality that offers unified explanations for phenomena across all physical scales. The proposed dimensional flow theory demonstrates how effective dimensionality varies with scale, creating a natural hierarchy that explains quantum behaviors as projections from lower-dimensional spaces to higher-dimensional observation space. This approach resolves quantum paradoxes while preserving determinism and locality at the fundamental level. The framework successfully derives the mass spectrum of elementary particles and coupling constants from dimensional parameters, establishing a geometric foundation for the Standard Model without fine-tuning. At galactic scales, the theory provides excellent agreement with SPARC database observations of rotation curves without invoking dark matter. Cosmologically, it reinterprets redshift observations as manifestations of a static universe with a dimensional gradient, rather than an expanding universe. This eliminates the need for inflation, dark energy, and a beginning of time, while maintaining consistency with observational constraints. Gravitational phenomena emerge from dimensional gradients rather than spacetime curvature, and cosmic microwave background features appear as dimensional tomography rather than echoes of a primordial state. The framework's remarkable predictive power across diverse phenomena, coupled with its significant reduction in free parameters compared to current models, suggests that physical reality may be fundamentally based on information-geometric principles and scale-dependent dimensionality rather than an evolving spacetime. Supplementary Material File (igtdfa.pdf) Download 699.48 KB Information & Authors Information Version history V1 Version 1 14 April 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords astrophysics cosmology dark energy dark matter dimensional flow general relativity high energy physics information geometry particle physics quantum field theory quantum gravity quantum information geometry quantum mechanics standard model theoretical physics Authors Affiliations Mikhail Liashkov 0009-0002-3734-8441 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 296 views 150 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Mikhail Liashkov. THE INFORMATION-GEOMETRIC THEORY OF DIMENSIONAL FLOW: EXPLAINING QUANTUM PHENOMENA, MASS, DARK ENERGY AND GRAVITY WITHOUT SPACETIME. Authorea . 14 April 2025. 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