• Thumbnail for Uncertainty principle
    The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is...
    139 KB (19,263 words) - 01:05, 20 June 2025
  • Thumbnail for Fourier transform
    domain and vice versa, a phenomenon known as the uncertainty principle. The critical case for this principle is the Gaussian function, of substantial importance...
    177 KB (21,313 words) - 02:31, 2 June 2025
  • uncertainty principle in Wiktionary, the free dictionary. Heisenberg's uncertainty principle is a fundamental concept in quantum physics. Uncertainty...
    2 KB (198 words) - 22:46, 9 October 2024
  • Thumbnail for Uncertainty
    Heisenberg's uncertainty principle allows. The term 'radical uncertainty' was popularised by John Kay and Mervyn King in their book Radical Uncertainty: Decision-Making...
    35 KB (4,351 words) - 22:57, 24 May 2025
  • Thumbnail for Discrete Fourier transform
    analogous uncertainty principle is not useful, because the uncertainty will not be shift-invariant. Still, a meaningful uncertainty principle has been...
    76 KB (12,333 words) - 05:19, 3 May 2025
  • The uncertainty principle has been frequently confused with the observer effect, evidently even by its originator, Werner Heisenberg. The uncertainty principle...
    14 KB (1,671 words) - 19:04, 16 April 2025
  • statements of Werner Heisenberg's uncertainty principle. Given numerous particles prepared in the same state, the uncertainty in their position, Δ x {\displaystyle...
    45 KB (4,779 words) - 00:59, 23 June 2025
  • simple explanations in everyday language. One example of this is the uncertainty principle: precise measurements of position cannot be combined with precise...
    66 KB (7,531 words) - 22:50, 19 June 2025
  • Thumbnail for Quantum mechanics
    its measurement, given a complete set of initial conditions (the uncertainty principle). Quantum mechanics arose gradually from theories to explain observations...
    99 KB (12,153 words) - 00:32, 16 June 2025
  • Thumbnail for Principle
    principle, the anthropic principle, the principle of relativity and the cosmological principle. Other well-known principles include the uncertainty principle...
    10 KB (1,028 words) - 15:09, 21 May 2025
  • homomorphism of L1 to L∞. The Heisenberg uncertainty principle also contains the number π. The uncertainty principle gives a sharp lower bound on the extent...
    147 KB (17,240 words) - 16:25, 21 June 2025
  • Thumbnail for Zero-point energy
    fluctuate in their lowest energy state as described by the Heisenberg uncertainty principle. Therefore, even at absolute zero, atoms and molecules retain some...
    206 KB (26,528 words) - 19:35, 4 June 2025
  • number. In contemporary terms, complementarity encompasses both the uncertainty principle and wave-particle duality. Bohr considered one of the foundational...
    26 KB (3,047 words) - 06:12, 23 May 2025
  • uncertainty principle can be expressed as a lower bound on the sum of these entropies. This is stronger than the usual statement of the uncertainty principle in...
    15 KB (2,551 words) - 07:55, 7 May 2025
  • discrete packets called quanta. Hawking discusses Werner Heisenberg's uncertainty principle, according to which the speed and the position of a particle cannot...
    35 KB (4,682 words) - 17:54, 9 June 2025
  • Thumbnail for Atomic orbital
    probability describing the electron's location, because of the uncertainty principle. One should remember that these orbital 'states', as described here...
    84 KB (10,931 words) - 22:10, 19 June 2025
  • "Uncertainty Principle" is the second episode of the first season of the American television series Numb3rs. Based on a real bank robbery case, the episode...
    19 KB (2,570 words) - 04:15, 12 February 2025
  • formalism of quantum mechanics tells us about the physical world. The uncertainty principle is a mathematical relation asserting an upper limit to the accuracy...
    38 KB (4,416 words) - 17:32, 14 June 2025
  • The Far Side is a single-panel comic created by Gary Larson and syndicated by Chronicle Features and then Universal Press Syndicate, which ran from December...
    36 KB (3,897 words) - 14:41, 20 April 2025
  • with fundamental principles of quantum mechanics, specifically the uncertainty principle and via zero-point energy fluctuations. Quantum noise is due to...
    25 KB (3,909 words) - 18:58, 18 June 2025
  • The generalized uncertainty principle (GUP) is a proposed extension of the Heisenberg uncertainty principle that incorporates potential effects of gravitational...
    10 KB (1,028 words) - 16:36, 23 May 2025
  • theory; it was noted by E. Kennard (1927) to imply the Heisenberg uncertainty principle. The Stone–von Neumann theorem gives a uniqueness result for operators...
    21 KB (3,019 words) - 12:55, 23 January 2025
  • Thumbnail for Bohr–Einstein debates
    Schrödinger's wave mechanics. And Bohr was at first opposed to Heisenberg's uncertainty principle. But by the Fifth Solvay Conference held in October 1927 Heisenberg...
    54 KB (7,793 words) - 17:31, 22 May 2025
  • the precautionary principle exist: "precaution" may be defined as "caution in advance", "caution practiced in the context of uncertainty", or informed prudence...
    65 KB (7,792 words) - 09:58, 13 June 2025
  • "The Uncertainty Principle" is the ninth episode of the animated television series The Spectacular Spider-Man, which is based on the comic book character...
    15 KB (1,728 words) - 23:48, 29 January 2025
  • The Uncertainty Principle (Portuguese: O Princípio da Incerteza) is a 2002 Portuguese drama film directed by Manoel de Oliveira. It was entered into the...
    2 KB (113 words) - 00:47, 2 November 2024
  • Küpfmüller's uncertainty principle by Karl Küpfmüller in the year 1924 states that the relation of the rise time of a bandlimited signal to its bandwidth...
    4 KB (626 words) - 07:17, 18 December 2023
  • The free energy principle is a mathematical principle of information physics. Its application to fMRI brain imaging data as a theoretical framework suggests...
    53 KB (6,415 words) - 09:10, 17 June 2025
  • the derivation of the uncertainty relation, see Heisenberg uncertainty principle, noting that this article describes the principle from the viewpoint of...
    126 KB (16,734 words) - 14:47, 20 June 2025
  • independently. Uncertainty principle In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety...
    251 KB (31,183 words) - 19:07, 15 June 2025