Physical Constant - Natural Units

Natural Units

Using dimensional analysis, it is possible to combine dimensional universal physical constants to define a system of units of measurement that has no reference to any human construct. Depending on the choice and arrangement of constants used, the resulting natural units may have useful physical meaning. For example, Planck units, shown below, use c, G, ħ, ε0 and kB in such a manner to derive units relevant to unified theories such as quantum gravity.

Name Dimension Expression Value (SI units)
Planck length Length (L) 1.616 199(97) × 10−35 m
Planck mass Mass (M) 2.176 51(13) × 10−8 kg
Planck time Time (T) 5.391 06(32) × 10−44 s
Planck charge Electric charge (Q) 1.875 545 956(41) × 10−18 C
Planck temperature Temperature (Θ) 1.416 833(85) × 1032 K

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