Demonstrative Priority and Derivational Agreement: Toward a Structural Theory of Scientific Standing

This foundational manuscript constructs a formal, operator-theoretic framework that strictly distinguishes derivation, demonstration, standing, agreement, and authority as mathematically independent objects. In modern scientific and technical discourse, these epistemic states are frequently conflated, allowing institutional consensus or symbolic theatricality to masquerade as structural rigor. To resolve this, the paper derives core concepts—including contradiction, admissible transformations, a