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This research aims to establish the Law of Successive Limitations as a principle that elucidates the generative nature of boundaries in various systems.

July 3, 2026Open Access

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

Key Points

This research aims to establish the Law of Successive Limitations as a principle that elucidates the generative nature of boundaries in various systems.
Introduced the Law of Successive Limitations (LSL) as a foundational axiom.
Developed a mathematical and philosophical framework for understanding infinite existential succession.
Explored generative properties of boundaries in physical, mathematical, and cosmological contexts.
Proved that boundaries are generative, leading to successive limits rather than absolute terminations.
Established a framework that shows boundaries in various systems necessitate continuous succession.
Highlighted the implications of boundary causality in ontological and cosmological contexts.

Abstract

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 (L₁) fundamentally and systematically necessitates the generation of a secondary, successive limit (L₂). 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 (G), Cosmological Horizon (L₂₎ₒ₌₎ₒ), Ontological Succession, Bhodhaanubhavam, Paradox of Definition, Infinite Existential Sequence, Non-denial Framework, Quantum Vacuum/Void.

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