Letter | Published:

Stochastic Rectification of Non-linear Clocks

Abstract

SIR JOHN CARROLL1 has recently discussed the possibility of recovering an absolute scale of time from the observation of nuclear decay processes. The essence of the following remarks is that the owner of a non-linear clock can rectify it if he is allowed to observe the motion of a Brownian particle (in the sense of Norbert Wiener).

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References

  1. 1

    Nature, 184, 260 (1959).

  2. 2

    See, for example, Paley, R. E. A. C., and Wiener, N., ‘Fourier Transform in the Complex Domain’ (New York, 1934), chapter 9. A distinction must of course be drawn between this mathematical construction and the path of an actual Brownian particle.

  3. 3

    Lévy, P., Amer. J. Math., 62, 487 (1940).

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