Finite Relation to Infinite Observation - Conditional Theorems Under Theological Presupposition

This research note presents a theological-domain stress test of the Admissible Cognitive Field within the Architecture of Limitation. It asks whether a finite observer can remain in admissible relation to the explicit presupposition of an infinite observer without converting that presupposition into proof, possession, doctrinal closure, or metaphysical overreach. The paper does not argue for or against the existence of God, nor does it attempt to define theological doctrine. Instead, it examines what follows structurally if infinite observation is presupposed while finite cognition remains bound by limitation, mediation, interpretation, probability, consequence, and stewardship. The inquiry develops pressure surfaces, admissibility constraints, conditional theorems, and failure conditions concerning non-transfer of infinite access, non-total finite relation, theological non-reduction, local orientation without shared adjudication, and stewardship non-immunity. An appendix situates the inquiry beside adjacent philosophical and theological traditions, including apophatic theology, learned ignorance, analogical predication, Kantian restraint, religious experience, divine hiddenness, Levinas, and Marion. The paper is offered as a conditional and non-doctrinal research note within the AoL corpus.