Entropy and Information: Loss and Recovery
Abstract
This article examines the relationship between entropy, information, and material reality through the framework of quantum mechanics and dialectical materialism. Drawing upon experimental studies of sodium and rubidium atoms, it explores quantum superposition, entanglement, and decoherence, demonstrating how interactions between physical systems and their environments render certain quantum states inaccessible to observation. The article distinguishes classical thermodynamic entropy, understood through changes in molecular configurations, from quantum entropy, which measures the loss of accessible information as quantum systems interact with their surroundings. Using the mathematical formalism of density matrices and von Neumann entropy, it explains how quantum decoherence transforms observable superposition states into statistical mixtures while transferring information into the environment. Particular attention is given to the quantum No-Hiding theorem, which establishes that information lost from a quantum system remains recoverable from its environment, and to Landauer’s principle connecting information erasure with energy dissipation. The article concludes by interpreting these physical processes through dialectical materialism, arguing that quantum superposition demonstrates the material existence of contradictory states, while decoherence and the preservation of information in the environment exemplify the dialectical processes of negation and the negation of the negation.
Keywords
Dialectical Materialism, Entropy, Information Theory, Quantum Decoherence, Quantum Mechanics
