Mathematical Formalization of Superintelligence Self-Modification Paradox

A new arXiv paper formalizes the paradox of self-modifying artificial superintelligence using operator algebra, linking it to the liar paradox and Derrida's différance. The authors model self-modification on an associative operator algebra with update, discrimination, and self-representation operators, identifying a supplement that collapses the self-referential structure. They show that non-commutation propagates generically and that class A self-modification realizes the same collapse as the liar paradox, coinciding with Priest's inclosure schema.