On the Axioms of Quasi-Magnitude and Coherent Collapse

Version 3: This version clarifies the sectorial status of collapse, refines the treatment of emergent operators such as sign and absolute value, and incorporates a brief distinction between the fundamental collapse rule and a continuous auxiliary orientation index, while preserving the article’s central axiomatic thesis and role within the MGQC research program. Abstract This article develops an axiomatic framework for quasi-magnitude and coherent collapse, addressing the status of magnitude prior to its realization as a real number. Classical mathematics typically treats magnitude as a fully realized scalar property, but such treatment presupposes a collapse that suppresses orientational and latent structure.…