Shiwei Pang

This research constructs a rigorous, formalized and self-referential unified existential framework for natural philosophy, which takes Difference as the primary logical origin, This-That as the original binary relation, and the F(Σ) recursive operation as the core generative mechanism. Departing from the traditional linear causal framework and metaphysical dualism, the framework elaborates the intrinsic grammatical rules of the world’s self-unfolding through twelve hierarchical and interlocked axioms, revealing that all existential phenomena are the recursive expansion results of the original Difference via This-That relation. It clarifies the essential attributes of core existential categories: any existence can be analytically decomposed into the indissoluble three dimensions of Ontology-Attribute-Relation (X=O⊕A⊕R); space is the direct expansion of This-That relation with four fundamental relational sets; time is the inherent rhythmic counting of F(Σ) recursive operations; consciousness is the first-person private key of structural self-reference; language is the symbolic mapping of the universal existential grammar in the sign domain; information is the quantifiable differential generated by recursive feedback; declaration is the existential signature for witness; the Present is the starting and ending point of all recursive operations; value is the emergent efficiency evaluation of inter-structural interaction. This framework is not a mere theoretical interpretation of the world, but the inherent existential grammar that enables the world’s self-unfolding and all theoretical generation. It achieves a complete logical closed loop through self-application—from the original Difference to the reflexive witness of the Present, and provides a universal meta-language for the integration and cross-disciplinary research of philosophy, mathematics, computer science, quantum physics, cognitive science, ethics and aesthetics. Rejecting all mysticism and abstract speculation, the framework transforms natural philosophy from qualitative verbal analysis to formalized structural modeling, with explicit operational formulas, symbolic systems and axiomatic deductions. It can be directly applied to analyze quantum phenomena, life systems, social structures and artistic creation, and serves as a foundational analytical tool for exploring the nature of existence in various fields. The twelve principles are open and reflexive, which can be continuously deepened, revised and expanded through recursive verification and interdisciplinary practice.