Extensions of the Scale Duality Model: Twistor Dynamics and Dimensional Constraints

This article presents an extension of the Scale Duality Model (SDM), a theoretical framework based on the idea that spacetime is bounded by two fundamental length scales: the Planck scale and the cosmic scale. By applying this duality to twistor geometry, the model introduces constraints on twistor dynamics, modifies uncertainty relations, and offers geometric explanations for phenomena such as dark energy and galactic rotation curves—without invoking dark matter. It aims to bridge quantum geometry with cosmology through minimal, testable assumptions.