Can Angles be Assigned a Dimension? - Comments

Insights
Thread starter haruspex
Start date Nov 12, 2016
Tags

Angles Dimension Dimensions

In summary, a discussion about the dimensionality of angles is taking place, with some proposing to give angles a dimension while others argue that angles are fundamentally different from quantities such as mass and should remain dimensionless. The concept of dimension and its properties are being discussed, including the need for an operation of comparison and an operation of addition, and the assumption that a physical dimension must admit an ordering. The topics of changing units and changing coordinates are also being considered in relation to the concept of dimension.

Jul 19, 2017

#106

haruspex

Science Advisor

Homework Helper

Insights Author

Gold Member

scottdave said:

Interesting concept. I'm not sure if I am ready to adopt it, but it gives some things to think about. You have certainly put a lot of thought into how to handle various situations. In your section 3.6 discussing Planck's Constant. You show hbar to have dimension of ML2T^−1Θ, but I think you should have ML2T^−1Θ^-1, to reflect π in the denominator, and to cancel out the ω.

Θ²=1, so Θ and Θ^-1 are the same.