Undifferentiated Domain Projection Theory (UDPT) v2.22.1: A Minimal Axiomatic Framework for Difference, Projection, and Subject Formation

This paper presents the Undifferentiated Domain Projection Theory (UDPT) v2.22.1, a minimal axiomatic framework for analyzing how difference, structure, and subject formation arise through projection operations from an undifferentiated limit (Ω_phil). The theory introduces three core axioms: the Undifferentiated Demand Axiom (A1), the Projection Irreversibility Axiom (A2), and the Non-simultaneous Limit-Fixation Prohibition (A3). Two collapse directions are formalized: Ω-regression collapse (loss of distinguishability) and dual-axis BH collapse (over-fixation to a single binary axis). The subject-operation indicator σ_subj is introduced to distinguish subject formation from mere reflexive response and ego-fixation.