Planck Units

The following are fundamental units in physics:

  • h = Planck’s constant (6.62 × 10⁻³⁴ kg·m2·s-1)
  • G = Universal gravitational constant (6.67 x 10⁻¹¹ m³⋅kg⁻¹⋅s⁻²)
  • c = Speed of light in a vacuum (2.99 × 10⁸ m⋅s-1)
  • kB = Boltzmann constant (1.38 × 10-23 m2⋅kg⋅s-2⋅K-1)

It is an interesting idea to combine the fundamental units we use in physics in a way that derives certain dimensions. That’s precisely what the Planck Units accomplish.

For example, by multiplying the units of h and G, one obtains the following:

m5⋅s-3

This unit is not something that corresponds to any measurable dimension that humans use.

However, by multiplying the units of h and G and dividing the whole thing by the units of c3, one obtains the following:

m2

This is a dimension that humans use. Area. Therefore, by combining h, G and c in the following way, one can obtain the Planck Area:

h⋅G⋅c-3

You can obtain the dimension of many other concepts using this same approach. By using our Planck Unit Explorer, you can combine the units of these fundamental concepts to create Planck Units of your own!

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