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Journal of the History of Ideas

Irreversibility and Indeterminism: Fourier to Heisenberg

Stephen G. Brush

Published Oct 1, 1976• 22 citations
Publisher
DOI
10.2307/2709027

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The indetermination principle of Heisenberg is discussed and applied to cases where position and velocity of an electron are observed by allowing it to pass through shutters opened momentarily at known times. The principle requires that such a shutter shall change the speed of the electron in a manner that can only be predicted statistically, in the same way as the frequency of a light quantum passing through such a shutter must usually undergo alteration to correspond with the Fourier resolution of the finite train of waves that gets through while the shutter is open. This effect is small and hard to detect experimentally.

Physical Review•Mar 1, 1928•10 citations
Fourier ontology and consequent quantum indeterminism and the way to overcome it shall be discussed. Furthermore it shall be proven that recent experimental technology goes far beyond the limits imposed by Heisenberg indetermination relations. These experiments are perfectly integrated in the new causal nonlinear quantum physics. Keywords: Orthodox quantum mechanics, Fourier ontology, Heisenberg indetermination relations, nonlinear quantum physics, general uncertainty relations, beyond Heisenberg limits.
The indetermination principle of Heisenberg is discussed and applied to cases where position and velocity of an electron are observed by allowing it to pass through shutters opened momentarily at known times. The principle requires that such a shutter shall change the speed of the electron in a manner that can only be predicted statistically, in the same way as the frequency of a light quantum passing through such a shutter must usually undergo alteration to correspond with the Fourier resolution of the finite train of waves that gets through while the shutter is open. This effect is small and hard to detect experimentally.