The Very First Example of Natural Units
This document is being developed as of Tuesday, June 18, 2019.
Dublin, Ireland. Unique moments in time are the subject of historians. Judging the significance of such events helps to qualify historians as historians. In 1881, George Johnstone Stoney began writing about a rather unique methodology for measuring which became the concept of natural units. These are units of measurement that are independent of measuring devices or instruments or tools. Here fundamental physical constants are the base units. It should be observed that such physical constants are always relational. Their very definition recognizes the dynamic relation between two things. There was really no one day and moment in time when Stoney recorded his process of uncovering and discovering the relations between these fundamental physical constants. Yet, he started publishing his thoughts and formulas in 1881.
That was a first time event within recorded history.
George Johnstone Stoney had been a professor at Queen’s University in Belfast yet during this period he was serving as the representative authority for university in Dublin.
References & Resources:
Natural Units Before Planck
Authors: Barrow, J. D.
Journal: Quarterly Journal of the Royal Astronomical Society, Vol. 24, P. 24, 1983
Bibliographic Code: 1983QJRAS..24…24B
Contemporary physics has settled on the Planck scale as the most suitable scale for a unified theory. The Planck scale was, however, anticipated by George Stoney. Like Planck after him, Stoney realised that large-scale effects such as gravity and small-scale effects such as electromagnetism naturally imply an intermediate scale where physical differences might be rationalised. This intermediate scale comprises units (Stoney scale units) of mass, length, time etc., yet mass is the cornerstone.
The Stoney mass mS (expressed in contemporary terms)
- m S = e 2 4 π ε 0 G =
Like the Planck scale, the Stoney scale functions as a symmetrical link between microcosmic and macrocosmic processes in general and yet it appears uniquely oriented towards the unification of electromagnetism and gravity . Thus for example whereas the Planck length is the mean square root of the reduced Compton wavelength and half the gravitational radius of any mass, the Stoney length is the mean square root of the ‘electromagnetic radius’ (see Classical electron radius) and half the gravitational radius of any mass, m:
is the reduced Planck’s constant and c is the speed of light. It should be noted however that these are only mathematical constructs since there must be some practical limit to how small a length can get. If the Stoney length is the minimum length then either a body’s electromagnetic radius or its half gravitational radius is a physical impossibility, since one of these must be smaller than the Stoney length. If Planck length is the minimum then either a body’s reduced Compton wavelength or its half gravitational radius is a physical impossibility since one of these must be smaller than the Planck length. Moreover, the Stoney length and Planck length cannot both be the minimum length.
According to contemporary convention, Planck scale is the scale of vacuum energy, below which space and time do not retain any physical significance. This prescription mandates a general neglect of the Stoney scale within the scientific community today. Previous to this mandate, Hermann Weyl made a notable attempt to construct a unified theory by associating a gravitational unit of charge with the Stoney length. Weyl’s theory led to significant mathematical innovations but his theory is generally thought to lack physical significance.