The Geometry of Accelaration: Emergent Inversed-Square Potentials and Cross-Scale Geometrical Invariants under a Fractal Continuum Framework verified by Gaia Astometric Telemetry
Year: 2026
Type: preprint
Abstract: This study presents a self-consistent theoretical continuum framework that investigates the emergent proprieties of gravitational and orbital structures from first principles. Operating under a highly flattend coordinate configuration (z/R<<1), we dimostrate that an inverse-square equivalent potential gradient arises as an emergent consequence of the differential mass density calculus within an actively contracting, two-dimentional polytropic transport medium. Consistent with empirical astrometric telemetry, the framework isolates a locked mass-fractal dimensional of D=2 and introduces a dimensionless conformal scaling coefficent, G_conformal ~ 6,72x10˄-15, characterizing the quadratic scale trasformation between microscopic and heliostatic structures. statistical validation aganst 400 hierarchical multple systems from the Gaia database confirms structural alignment with VSEPR stereochemical nodes exeeding the 6-sigma threshold.
Author: KONSTANDOUDAKIS STEFANOS
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167948675
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