4 Citations
Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI)
- PhysicsMetrologia
- 2021
Because of continued confusion caused by the SI’s interpretation of angle and solid angle as dimensionless quantities (and the radian and steradian as dimensionless derived units), it is time for the…
Angles in the SI: treating the radian as an independent, unhidden unit does not require the redefinition of the term ‘frequency’ or the unit hertz
- PhysicsMetrologia
- 2020
Some recent papers have argued that frequency should have the dimensions of angle/time, with the consequences that 1 Hz = 2π rad/s instead of 1 s-1, and also that ν = ω and h = ħ. This letter puts…
On the dimension of angles and their units
- Mathematics
- 2022
We examine implications of angles having their own dimension, in the same sense as do lengths, masses, etc. The conventional practice in scientific applications involving trigonometric or exponential…
References
SHOWING 1-10 OF 12 REFERENCES
The Planck constant and its units
- PhysicsJournal of Quantitative Spectroscopy and Radiative Transfer
- 2019
On the Theory of quantum mechanics
- Mathematics
- 1926
The new mechanics of the atom introduced by Heisenberg may be based on the assumption that the variables that describe a dynamical system do not obey the commutative law of multiplication, but…
On the units radian and cycle for the quantity plane angle
- Physics
- 2016
This paper is concerned with the names and symbols for quantities used to describe oscillatory motion such as for a harmonic oscillator, and the units to be used for the quantity plane angle and…
Dimensionless units in the SI
- Physics
- 2015
The International System of Units (SI) is supposed to be coherent. That is, when a combination of units is replaced by an equivalent unit, there is no additional numerical factor. Here we consider…
A summary of the Planck constant determinations using the NRC Kibble balance
- Physics
- 2017
We present a summary of the Planck constant determinations using the NRC watt balance, now referred to as the NRC Kibble balance. The summary includes a reanalysis of the four determinations…
Angles are inherently neither length ratios nor dimensionless
- PhysicsMetrologia
- 2019
The status of angles within The International System of Units (SI) has long been a source of controversy and confusion. We address one specific but crucial issue, putting the case that the idea of…
On the status of plane and solid angles in the International System of Units (SI)
- PhysicsMetrologia
- 2019
The article analyzes the arguments that became the basis for declaring in 1995, at the 20th General Conference on Weights and Measures that the plane and solid angles are dimensionless derived…
The quantized Hall effect
- Physics
- 1986
Semiconductor research and the Nobel Prize in physics seem to be contradictory, since one may come to the conclusion that a complicated system like a semiconductor is not useful for very fundamental…
Data and analysis for the CODATA 2017 special fundamental constants adjustment
- Physics
- 2018
The special least-squares adjustment of the values of the fundamental constants, carried out by the Committee on Data for Science and Technology (CODATA) in the summer of 2017, is described in…
Ueber das Gesetz der Energieverteilung im Normalspectrum
- Physics
- 1901
Die neueren Spekfralmessungen von O. Lummer und E. Pringsheim 4) und noch auffalliger diejenigen von H. Rubens und F. Kurlbaum 5), welche zugleich ein frUher von H. Beckmann 1) erhaltenes Resultat…