# Implications of adopting plane angle as a base quantity in the SI

@article{Quincey2016ImplicationsOA, title={Implications of adopting plane angle as a base quantity in the SI}, author={Paul Quincey and Richard J.C. Brown}, journal={Metrologia}, year={2016}, volume={53}, pages={998 - 1002} }

The treatment of angles within the SI is anomalous compared with other quantities, and there is a case for removing this anomaly by declaring plane angle to be an additional base quantity within the system. It is shown that this could bring several benefits in terms of treating angle on an equal basis with other metrics, removing potentially harmful ambiguities, and bringing SI units more in line with concepts in basic physics, but at the expense of significant upheaval to familiar equations…

## 4 Citations

Angles in the SI: a detailed proposal for solving the problem

- PhysicsMetrologia
- 2021

A recent letter [1] proposed changing the dimensionless status of the radian and steradian within the SI, while allowing the continued use of the convention to set the angle 1 radian equal to the…

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…

The role of unit systems in expressing and testing the laws of nature

- PhysicsMetrologia
- 2019

The paper firstly argues from conservation principles that, when dealing with physics aside from elementary particle interactions, the number of naturally independent quantities, and hence the…

On the dimension of angles and their units

- MathematicsMetrologia
- 2022

We show the implications of angles having their own dimension, which facilitates a consistent use of units as is done for lengths, masses, and other physical quantities. We do this by examining the…

Comment on ‘On the units radian and cycle for the quantity plane angle’

- Physics
- 2016

In the referenced paper, Ian Mills addresses the confusion caused by the treatment of plane angle in the International System of Units (SI). As he points out, what the SI calls an ‘angle’ is not a…

Comment on ‘Angles in the SI: a detailed proposal for solving the problem’

- PhysicsMetrologia
- 2022

Paul Quincey makes a compelling argument for recognizing angle as a base quantity with the radian as the base unit. Solid angle is then a derived quantity with the steradian a coherent derived unit…

On the status of plane and solid angles in the International System of Units (SI)

- PhysicsMetrologia
- 2019

The article analyzes the arguments that have become the basis for the 1980 CIPM recommendations declaring plane and solid angles as dimensionless derived quantities. This decision was the result of…

Measuring angles in axiomatic Euclidean planar geometry

- Mathematics
- 2020

We address the issue of angle measurements which is a contested issue for the International System of Units (SI). We provide a mathematically rigorous and axiomatic presentation of angle measurements…

A clearer approach for defining unit systems

- Physics
- 2017

We present the SI and other unit systems, including cgs-em and cgs-es, in a framework whereby a system of fully independent and dimensionally orthogonal base units is modified by conventions designed…

A metrological approach to quantities that are counted and the unit one

- EducationMetrologia
- 2021

There has long been debate over how to treat dimensionless quantities, or quantities with the unit one, within the International System of Units (SI). These arguments have been brought into sharper…