The Law of Successive Limitations: A Unified Framework on the Ontological and Physical Causality of Boundaries

Abstract This paper introduces the Law of Successive Limitations (LSL), a foundational axiom positing that no boundary within physical, mathematical, or cosmological systems constitutes an absolute termination. Instead, the manifestation of any primary limit ($L_1$) fundamentally and systematically necessitates the generation of a secondary, successive limit ($L_2$). This paper establishes the mathematical and philosophical framework for infinite existential succession, proving that boundaries are inherently generative rather than restrictive. Keywords: Law of Successive Limitations (LSL), Boundary Causality, Generative Interface, Topological State Space, Boundary Succession Operator ($\mathcal{G}$), Cosmological Horizon ($L_{\text{cosmos}}$), Ontological Succession, Bhodhaanubhavam, Paradox of Definition, Infinite Existential Sequence, Non-denial Framework, Quantum Vacuum/Void.