From Prohibition to Operator: The Negative Axiom as an Instrumental Breakthrough in Process Ontology

This article examines Andrii Myshko's contribution to the development of process ontology through the lens of his "metamonism" framework. It is shown that the key achievement lies not in continuing the traditional line (Heraclitus – Whitehead – Prigogine – Deleuze), but in its radical axiomatization. The central principle of metamonism — the prohibition of indifference (A ≠ A) — is introduced and analyzed as a negative ontological condition for the possibility of existence. We demonstrate how this axiom transforms processual intuition from philosophical statement into a rigorous logical-operational instrument, generating a new class of interdisciplinary isomorphisms and falsifiable predictions.