The Geometrization of Being: Universal Meta-Rule Based on Succession of Cognition and 1:1 Alignment Ontology

Abstract The core dilemma of human cognition and scientific theory construction lies in the fact that the legitimacy of logical form cannot be directly equated with the authenticity of causal content. Self-consistent logic generated by cognition often misaligns with the real causal chain of the physical world, a dilemma that permeates all fields of philosophy, science and practical activities. Taking the unfalsifiable "the essence of cognition is succession" as the only first principle within the boundary of human cognition, this paper derives the universal meta-rule of succession that governs the three major fields of ontological existence, cognitive logic and physical reality, and constructs a 1:1 alignment operation framework of three-layer nested isomorphism: "Ontological Spacetime Layer - Physical Spacetime Layer - Logical Spacetime Layer". Through the inherent unity of geometrized form and ontological essence, with meta-point initial state, closed-loop ray, plane circle and three-dimensional sphere as the core carriers, this paper completes the complete geometrized construction from original existence to universal evolution, and realizes the synchronous alignment of ontological differentiation sequence, logical reasoning sequence and physical causal sequence. This system provides a new ontological path for resolving the millennial opposition between idealism and materialism, reveals the root of cognitive bias from the underlying mechanism of cognitive generation, and provides an unambiguous, operable and universally adaptable basic theoretical framework for the reconstruction of philosophical ontology, scientific theory construction, underlying architecture design of artificial intelligence, unification of theoretical physics and other fields.