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

Joon Hwang

Published Dec 25, 2025• 0 citations
Publisher

Abstract

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

DOI
10.5281/zenodo.18055065

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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
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We propose a system of information-theoretic axioms from which we derive the formalism of quantum theory. Part I is devoted to the conceptual foundations of the information-theoretic approach. We argue that this approach belongs to the epistemological framework depicted as a loop of existences. In Part II we derive the quantum formalism from information-theoretic axioms and we analyze the twofold role of observer as physical system and as informational agent. Quantum logical techniques are then introduced, and we prove theorems reconstructing elements of the formalism. In Part III, we introduce the formalism of C*-algebras and give it an information theoretic interpretation. We analyze the conceptual underpinnings of the theory of modular automorphisms and we give an information-theoretic justification for the emergence of time in the algebraic approach. We conclude by giving a list of open questions, including topics in cognitive science, decision theory, and information technology.
We propose a system of information-theoretic axioms from which we derive the formalism of quantum theory. Part I is devoted to the conceptual foundations of the information-theoretic approach. We argue that this approach belongs to the epistemological framework depicted as a loop of existences. In Part II we derive the quantum formalism from information-theoretic axioms and we analyze the twofold role of observer as physical system and as informational agent. Quantum logical techniques are then introduced, and we prove theorems reconstructing elements of the formalism. In Part III, we introduce the formalism of C*-algebras and give it an information theoretic interpretation. We analyze the conceptual underpinnings of the theory of modular automorphisms and we give an information-theoretic justification for the emergence of time in the algebraic approach. We conclude by giving a list of open questions, including topics in cognitive science, decision theory, and information technology.
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Abstract: In Causal Priority Theory (CPT), the ΔC conservation law has previously been treated as a fundamental axiom. This paper (v3) provides a rigorous examination of this law, explicitly identifying the classes of Completely Positive Trace-Preserving (CPTP) maps for which this conservation law holds and those for which it does not. The paper presents: 1. Counterexamples: Four specific cases demonstrating that ΔC conservation does not hold for general CPTP maps. 2. Necessary Conditions: Derivation of four essential conditions required for the conservation law to be valid. 3. Main Theorem: A formal proof that in a closed quantum system on a finite-dimensional Hilbert space, the total ΔC is conserved under unitary evolution. 4. Application to Black Holes: A structural establishment of ΔC_env = 0 using Hilbert space decomposition, upgrading the axiomatic assumptions of the previous papers (v1 and v2) to conditional theorems. This work serves as a critical bridge between the heuristic descriptions of CPT and its formal quantum mechanical foundation, setting the stage for the quantum extension via von Neumann entropy in v4 and relativ