Units of measure defined exclusively in terms of 4 universal physical constants.

These were originally suggested in 1899 by Max Planck, hence the name.

They depend on:

  • the speed of light
  • the Gravitational Constant
  • the Reduced Planck Constant
  • the Boltzmann Constant

Some people add in the electromagnetic dimension by including the Electric Constant

These include:

NameExpressionValue in terms of SI
Planck lengthl_p = root(h_bar*G/c^3)1.616e-35 m
Planck massm_p = root(h_bar*c/G)2.176e-8 kg
Planck timet_p = root(h_bar*G/c^5)5.391e-44 s

Using these, you can define derived units for many other types of units (area, volume, momentum, temperature, energy, force, density, acceleration, frequency, etc)

These are essentially useless in day-to-day life. They are useful when working at the “Planck Scale”, which only happens in university-or-greater-level physics classes.


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