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  2. Uncertainty principle - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_principle

    The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is a limit to the precision with which certain pairs of physical properties, such as position and momentum , can be simultaneously known.

  3. Uncertainty (book) - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_(book)

    The book was published in 1992 by W. H. Freeman and Company while an updated and popularized version was published in 2009 under the title Beyond Uncertainty: Heisenberg, Quantum Physics, and The Bomb. The book is named after the quantum mechanics concept known as Heisenberg's uncertainty principle. It has been reviewed many times and was ...

  4. Beyond Uncertainty - Wikipedia

    en.wikipedia.org/wiki/Beyond_Uncertainty

    Beyond Uncertainty: Heisenberg, Quantum Physics, and the Bomb is a biography of Werner Heisenberg by David C. Cassidy. Published by Bellevue Literary Press in 2009, the book is a sequel to Cassidy's 1992 biography, Uncertainty: the Life and Science of Werner Heisenberg and serves as an updated and popularized version of the work.

  5. Generalized uncertainty principle - Wikipedia

    en.wikipedia.org/wiki/Generalized_uncertainty...

    The Generalized Uncertainty Principle (GUP) represents a pivotal extension of the Heisenberg Uncertainty Principle, incorporating the effects of gravitational forces to refine the limits of measurement precision within quantum mechanics. Rooted in advanced theories of quantum gravity, including string theory and loop quantum gravity, the GUP ...

  6. QED: The Strange Theory of Light and Matter - Wikipedia

    en.wikipedia.org/wiki/QED:_The_Strange_Theory_of...

    QED was designed to be a popular science book, written in a witty style, and containing just enough quantum-mechanical mathematics to allow the solving of very basic problems in quantum electrodynamics by an educated lay audience. It is unusual for a popular science book in the level of mathematical detail it goes into, actually allowing the ...

  7. Propagation of uncertainty - Wikipedia

    en.wikipedia.org/wiki/Propagation_of_uncertainty

    Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables ⁡ (+) = ⁡ + ⁡ + ⁡ (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...

  8. Conjugate variables - Wikipedia

    en.wikipedia.org/wiki/Conjugate_variables

    The duality relations lead naturally to an uncertainty relation—in physics called the Heisenberg uncertainty principle—between them. In mathematical terms, conjugate variables are part of a symplectic basis, and the uncertainty relation corresponds to the symplectic form.

  9. Uncertainty analysis - Wikipedia

    en.wikipedia.org/wiki/Uncertainty_analysis

    In physical experiments uncertainty analysis, or experimental uncertainty assessment, deals with assessing the uncertainty in a measurement.An experiment designed to determine an effect, demonstrate a law, or estimate the numerical value of a physical variable will be affected by errors due to instrumentation, methodology, presence of confounding effects and so on.