Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI)

  title={Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI)},
  author={B. P. Leonard},
  • B. Leonard
  • Published 28 January 2021
  • Physics, Materials Science
  • Metrologia
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 SI to treat these dimensional physical quantities correctly. Building on previous authors’ foundations, starting from Euclid’s Elements, I argue that angle should be recognized as a base quantity with an independent dimension: angle, A. A dimensionally consistent analysis of rotational geometry and… 
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