Cognitive Topological Phase Transition Theory (CTPT) v2.0: A Formal Framework for Structural Dynamics of Cognition

Cognitive Topological Phase Transition Theory (CTPT) v2.0 This work presents Cognitive Topological Phase Transition Theory (CTPT) v2.0, a substrate-independent theoretical framework for describing the structural dynamics of cognitive systems. The theory aims to formally characterize insight formation, topological phase transitions of cognition, and the multi-scale integration of consciousness through a minimal closed variable set (V_min = {Φ, β₁, I_g, R, K}) and a seven-layer topological architecture (L1–L7). This record contains the core master document together with the complete layer series (L1–L7) provided as a bundled archive. The master document introduces the theoretical foundation of CTPT, including four core postulates, the definition of minimal and extended variable sets, and a tri-granularity determination system (Levels A–C) for identifying insight events. The seven sub-documents provide the detailed theoretical structure of each layer, including mathematical formulations, experimental metric designs, and structural analyses associated with the layered architecture. This framework is released as an open theoretical proposal intended to encourage discussion, critique, and comparative analysis across cognitive science, artificial intelligence, and related disciplines. Constructive feedback and alternative formulations are explicitly welcomed. The Chinese (zh) edition of CTPT v2.0 is available as an independent Zenodo record: https://doi.org/10.5281/zenodo.18859173