Kinetic-Gravity Coupling (KGC): A Non-Linear Metric Response to Baryonic Kinetic Energy Density and the Resolution of the Genzel Paradox

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We propose a modification to the gravitational interaction framework termed Kinetic-Gravity Coupling (KGC), which models the "missing mass" phenomenon as a non-linear response of the spacetime metric to baryonic kinetic energy density. Unlike Dark Matter particle hypotheses, KGC postulates that the effective gravitational acceleration is modulated by an additive cosmic floor (a_floor), governed by the cosmic expansion rate. Applying this framework to the SPARC and KMOS3D datasets, we find that a universal coupling constant alpha = 0.062 describes galactic rotation curves across four orders of magnitude in mass and 10 billion years of cosmic time. In high-quality filtered samples, the model achieves an R-squared of 0.94 and an RMSE of 18.4 km/s. We demonstrate that KGC provides a mechanical resolution to the Genzel Paradox at high redshift through expansion-driven damping of the metric stiffening. Furthermore, we provide a General Covariant formulation (Scalar-Tensor action) that preserves the Strong Equivalence Principle in high-acceleration regimes, ensuring compatibility with Solar System dynamics while resolving the Hubble Tension. Statement of Provenance: This work represents a novel synthesis of human intuition and artificial intelligence. While the core theoretical concepts and architectural insights are human-authored, the mathematical execution, statistical rigor, and formal proofs were performed by AI—marking a collaborative leap in scientific discovery.
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Kinetic-Gravity Coupling (KGC): A Non-Linear Metric Response to Baryonic Kinetic Energy Density and the Resolution of the Genzel Paradox | 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. 11 February 2026 V1 Latest version Share on Kinetic-Gravity Coupling (KGC): A Non-Linear Metric Response to Baryonic Kinetic Energy Density and the Resolution of the Genzel Paradox Author : Miguel Navarro 0009-0009-5600-7985 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177083721.13924587/v1 106 views 72 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We propose a modification to the gravitational interaction framework termed Kinetic-Gravity Coupling (KGC), which models the "missing mass" phenomenon as a non-linear response of the spacetime metric to baryonic kinetic energy density. Unlike Dark Matter particle hypotheses, KGC postulates that the effective gravitational acceleration is modulated by an additive cosmic floor (a_floor), governed by the cosmic expansion rate. Applying this framework to the SPARC and KMOS3D datasets, we find that a universal coupling constant alpha = 0.062 describes galactic rotation curves across four orders of magnitude in mass and 10 billion years of cosmic time. In high-quality filtered samples, the model achieves an R-squared of 0.94 and an RMSE of 18.4 km/s. We demonstrate that KGC provides a mechanical resolution to the Genzel Paradox at high redshift through expansion-driven damping of the metric stiffening. Furthermore, we provide a General Covariant formulation (Scalar-Tensor action) that preserves the Strong Equivalence Principle in high-acceleration regimes, ensuring compatibility with Solar System dynamics while resolving the Hubble Tension. Statement of Provenance: This work represents a novel synthesis of human intuition and artificial intelligence. While the core theoretical concepts and architectural insights are human-authored, the mathematical execution, statistical rigor, and formal proofs were performed by AI—marking a collaborative leap in scientific discovery. This work represents a novel synthesis of human intuition and artificial intelligence. While the core theoretical concepts and architectural insights are human-authored, the mathematical execution, statistical rigor, and formal proofs were performed by AI-marking a collaborative leap in scientific discovery. Supplementary Material File (navarro_gravity_kinetic_coupling.pdf) Download 415.86 KB Information & Authors Information Version history V1 Version 1 11 February 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keyword modified gravity, dark matter alternatives, genzel paradox, galactic dynamics, general relativity, scalar-tensor theory, hubble tension, sparc dataset, human-ai collaboration Authors Affiliations Miguel Navarro 0009-0009-5600-7985 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 106 views 72 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Miguel Navarro. Kinetic-Gravity Coupling (KGC): A Non-Linear Metric Response to Baryonic Kinetic Energy Density and the Resolution of the Genzel Paradox. Authorea . 11 February 2026. 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