Trace Syntax: A Formal Framework for Meaning Generation and Ontological Recognition

This paper proposes "Trace Syntax," a formal theoretical framework for understanding meaning generation, existence, and recognition. Starting from the fundamental axiom $a - a = 1_a$, it develops a mathematical and logical structure to describe subjectivity, time-waves of meaning ($\Psi$), and the infinite field of potentiality ($\infty$). This version (v2.0) serves as the unified core for the theory's broad applications. For detailed discussions and various implementations based on this framework, please refer to the author's official notes (in Japanese): https://note.com/dear_lynx1235/n/n785a856de5b2