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The uncertainty principle states that certain pairs of properties of particles cannot be precisely measured at the same time from "summary" of The World of Physics 2nd Edition by John Avison

The uncertainty principle, a fundamental concept in quantum mechanics, asserts that there are limitations to the precision with which certain pairs of properties of particles can be simultaneously measured. This principle, formulated by German physicist Werner Heisenberg in 1927, challenges the classical notion of determinism, which posits that the position and momentum of a particle can be known with absolute certainty at any given moment. According to the uncertainty principle, there exists an inherent trade-off between the precision of measurements of certain complementary properties of particles, such as position and momentum. This means that the more accurately one property is measured, the less precisely the other property can be determined. The uncertainty principle introduces a level of randomness and unpredictability into the behavior of particles at the quantum level, highlighting the limitations of classical physics in describing the behavior of subatomic particles. One of the most famous formulations of the uncertainty principle is the position-momentum uncertainty principle, which states that the more precisely the position of a particle is known, the less precisely its momentum can be determined, and vice versa. This concept highlights the wave-particle duality of matter, where particles exhibit both wave-like and particle-like behaviors, depending on the context of the measurement. The uncertainty principle has profound implications for our understanding of the microscopic world, challenging our intuitive notions of causality and determinism. It underscores the probabilistic nature of quantum mechanics and the limitations of human observation and measurement in describing the behavior of particles at the quantum level. The uncertainty principle remains a cornerstone of quantum theory, shaping our understanding of the fundamental nature of particles and the universe as a whole.
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    The World of Physics 2nd Edition

    John Avison

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