A Manifesto of Dimensionless Geometry: The Pure Essence of the Universe

Abstract

This manifesto presents a unified, pure dimensionless geometric framework for fundamental physics, establishing the dynamic law connecting microscopic bound states and cosmic expansion through a single parameter-free formula: a(r) = r^(-2) - r^2. The paper posits that current cosmological dilemmas—such as dark matter, dark energy, and gravitational singularities—are artifacts arising from mistaking long-distance light-signal propagation measurement conversions for intrinsic spacetime curvature. By stripping away observational distortions and human-defined unit systems, the proposed model demonstrates intrinsic scale-inversion duality, microscopic structural stability, cosmic acceleration, and a natural critical horizon at r = 1 without requiring artificial dark energy or ad hoc symmetry-breaking terms.