The Curved Language of Nature and the Hunchbacked Demiurge: The Geometric Theory of Sphere Pieces and the Illusion of the Straight Line

Traditional Euclidean geometry describes the physical world through ideal abstractions such as the straight line, the perfect plane, and right angles. However, material reality contains no straight line nor any rigid geometric form. This work demonstrates that the morphology of everything we observe—at any scale of the universe—is the pure geometric result of a single fundamental principle: the structural sum of a mixture of sphere pieces, characterized by a specific size, angular orientation, and inclination, which can either be different from one another or share identical characteristics (such as the same size or inclination), in any possible combination. The visible universe is entirely constructed by this geometric composition guided by a hunchbacked demiurge, even explaining the origin of quantum probability as an effect of contribution density. Acknowledgments: I would like to thank my family, especially my life, Milo.