Example of physical quantity


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Dimensionless Constant

  • α, the fine structure constant, the coupling constant for the electromagnetic interaction (≈1/137.036). Also the square of the electron charge, expressed in Planck units, which defines the scale of charge of elementary particles with charge.
  • μ or β, the proton-to-electron mass ratio, the rest mass of the proton divided by that of the electron (≈1836.15). More generally, the ratio of the rest masses of any pair of elementary particles.
  • αs, the coupling constant for the strong force (≈1)
  • αG, the gravitational coupling constant (≈10−45) which is the square of the electron mass, expressed in Planck units. This defines the scale of the masses of elementary particles and has also been used to express the relative strength of gravitation.

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Dimensional Constant

speed of light in vacuum C = 299,792,458 m·s−1

Dimensionless Variable

A dimensionless variable (DV) is a unitless value produced by (maybe repeatedly) multiplying and dividing combinations of physical variables, parameters, and constants.