Towards a Theory of Absolute Limits of Shapes and Motion

This article proposes a theoretical approach to distinguish the expansion limit of a shape from its absolute limit. By introducing the principle of "moving towards the absolute limit point," it shows that a shape can reach an absolute limit only if all exterior space is removed. The concept is illustrated using an expanding square and then generalized to all two-dimensional and three-dimensional shapes. The study further explores the consequences of this principle for the nature of motion, demonstrating that all trajectories are fundamentally curvilinear. It also considers the implications for understanding the Universe, suggesting that the Universe itself, as a shape, may possess absolute limits represented by points. This work opens new perspectives in geometry, cosmology, morphogenesis, spatial computing, and theoretical mathematics by providing a conceptual basis for exploring absolute limits, internal spatial dynamics, and self-contained expansion mechanisms. For correspondence: [email protected]