Heisenberg's Uncertainty Principle

Heisenberg's Uncertainty Principle states that certain pairs of properties, like position and momentum, cannot both be precisely measured at the same time. In matrix mechanics, which is a framework of quantum mechanics, particles are represented by mathematical matrices. Measuring one property, like a particle's position, disturbs its momentum, and vice versa. This inherent limitation doesn't arise from measurement errors but reflects a fundamental characteristic of nature at the quantum level. Thus, the principle highlights the probabilistic nature of quantum systems, where certainty about one aspect leads to uncertainty about another.