A Dual Entropy Uncertainty Framework (DEUF): Integrating Material and Immaterial Dynamics through Entropic Duality

The material–immaterial divide remains one of the deepest conceptual tensions in both science and philosophy. This paper introduces the Dual Entropy Uncertainty Frame-work (DEUF)—a quantitative, information-based model that unifies material structure and immaterial information under a single uncertainty law, SE × OE ≥ C. Structural Entropy (SE) and Optical Entropy (OE) represent complementary Shannon-type measures of configurational and informational uncertainty. Building upon the Hei-senberg Uncertainty Principle and Shannon Information Theory, DEUF provides a testable framework linking quantum duality, biological evolution, and Platonic ideal-ism. Empirical implications are outlined in terms of compensatory dynamics between structure and information. The framework resolves long-standing philosophical and scientific challenges and suggests that matter and information form a single, entropi-cally balanced continuum. The DEUF formulation opens a new path for studying en-tropy-driven self-organization and the informational basis of natural laws.