Relational Quantum Entropy (RQE) Theory

Francesco Mappa

Published Jan 1, 2025• 0 citations

Abstract

Let me introduce you to the Relational Quantum Entropy (RQE) Theory, which offers a fresh take on entropy. Instead of viewing it as a fixed characteristic of a system, this theory sees it as something that emerges from the quantum connections between observers and the systems they observe. The theory presents a new entropy formula: S_Q(ρ_S|O) = -Tr(ρ_S log ρ_S) + α·I_Q(S:O). This formula builds on the von Neumann entropy by adding a term that reflects the quantum mutual information I_Q(S:O), scaled by a coupling constant α, which is roughly -0.5k_B. The framework is grounded in three key postulates: a definition of relational entropy, the idea of contextual non-additivity for composite systems, and a revised approach to temporal evolution that includes entropy generation triggered by observation.Relational Quantum Entropy (RQE) Theory represents the most significant conceptual breakthrough in thermodynamics since Boltzmann's statistical mechanics and arguably the most important synthesis of quantum mechanics and thermodynamics attempted in the 21st century.

DOI: 10.6084/m9.figshare.30565097

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