The Uncertainty Principle and Entropy: How Limits Shape Information
Uncertainty is not merely a challenge to knowledge—it is an intrinsic boundary defining the limits of measurement and understanding. At the heart of modern physics and information theory, uncertainty manifests as fundamental constraints on what can be known, quantified, or predicted. These limits are not failures of observation but boundaries shaped by nature itself. The **Uncertainty Principle**, first articulated by Werner Heisenberg, reveals how probing one property of a quantum system inevitably disturbs another, establishing a trade-off so profound that precise knowledge of position and momentum, for instance, can never coexist. This quantum indeterminacy contrasts sharply with classical determinism, where ideal measurement promised complete predictability. Today, uncertainty is recognized not as noise,