Scale Contrast Theory: A Relational-Geometric Framework for Unified Physics

This work presents Scale Contrast Theory (SCT), a novel relational-geometric framework proposing that physical structure originates from a single, recursive pattern of incomplete closure. The theory is founded on a tangible geometric deficit: an inherent 18° (0.1π) angular gap that prevents perfect cyclic distinction, provides an irreversible orientation, and initiates recursive nesting through dimensional tripling (×3). Beginning from empirically observed cycles (e.g., Earth's year, pulsar spin) and angular separations (e.g., the solar disk), the framework's internal logic—centered on a constant 5.7/6 packing ratio and a harmony condition (κ=½)—derives key physical constants and scales. These include the speed of light (c), the fine-structure constant (α⁻¹ ≈ 137.036), nuclear condensation scales (~fm), planetary precession, and the cosmic matter partition (~90% manifest, ~5% baryonic, ~5% deficit-driven "dark" sector). The derivation proceeds without prior assumptions about spacetime manifolds, mass, or forces; instead, causality and time emerge as the trace of deficit minimization across nested scales. This preprint establishes the core geometric postulate, the scaling protocol, and the reconstruction pathway for solar, stellar, nuclear, and cosmic systems. It makes specific, falsifiable predictions regarding galactic rotation gradients, neutron star crust transitions, and a quantum-gravity threshold at the next tripling scale. The aim is to provide a minimalist, observationally-anchored foundation from which the architecture of modern physics can be seen as an effective, emergent harmony.