Brownian Motion as a Limit
to Physical Measuring
Processes: A Chapter in the
History of Noise from the
Physicists’ Point of View
Martin Niss
Roskilde University
In this paper, we examine the history of the idea that noise presents a fundamental
limit to physical measuring processes. This idea had its origins in research aimed
at improving the accuracy of instruments for electrical measurements. Out of these
endeavors, the Swedish physicist Gustaf A. Ising formulated a general conclusion
concerning the nature of physical measurements, namely that there is a definite
limit to the ultimate sensitivity of measuring instruments beyond which we cannot
advance, and that this limit is determined by Brownian motion. Ising’s conclu-
sion agreed with experiments and received widespread recognition, but his way of
modeling the system was contested by his contemporaries. With the more embracing
notion of noise that developed during and after World War II, Ising’s conclusion
was reinterpreted as showing that noise puts a limit on physical measurement
processes. Hence, physicists in particular saw the work as an indication that noise
is of practical relevance for their enterprise.
1. Introduction
In this paper, we examine the history of the idea among physicists that
there is a fundamental limit to physical measuring processes and that this
limit is set by noise. In contrast to previous studies (see Beller 1988; Hon
1989), that have focused on the realization of the existence of such a limit,
we focus on the noise aspect of this history. In his monograph entitled
Noise from 1954, the Dutch-American physicist and pioneer of noise Alder
van der Ziel (1910–1991) described how noise (or spontaneous fluctuations as
he saw as the more scientific term) came to be seen as of practical impor-
tance for measurements:
The study of spontaneous fluctuations was primarily theoretical as
recently as 1925. At that time it was known that the fluctuating
Perspectives on Science 2016, vol. 24, no. 1
©2016 by The Massachusetts Institute of Technology doi:10.1162/POSC_a_00190
29