The Logical Impossibility of the Christian God: A Quantum Information Theoretic Approach

Abstract This paper presents a formal proof for the logical impossibility of a deity possessing the traditional Christian attributes—omnipotence, omniscience, and intervention—within the framework of Quantum Information Theory. We define the universe as a quantum system and analyze the existence of God through two primary models: the universe as a closed system governed by unitary evolution, and as an open system described by CPTP (Completely Positive Trace-Preserving) maps. By applying the principles of Von Neumann entropy, Information Conservation, and the No-Hiding Theorem, we demonstrate that the intervention of an omnipotent agent inevitably leads to a contradiction with the fundamental laws of quantum mechanics. Specifically, we prove that an interactive God violates the linearity of quantum operators and the conservation of quantum information, while a non-interactive God fails to meet the definition of the Christian deity. Consequently, we derive a No-Go Theorem for the existence of the Christian God, concluding that such an entity is mathematically incompatible with the axioms of quantum physics. this paper use Chat GPT + Gemini for translation