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Calculator for the Planck Length

Conversion of different units of length to the Planck length.

The Planck length l_P is 1.616255*10^-35 meters. That's in the order of a sextillionth of the diameter of an electron. For sizes below the Planck length, both the effects of quantum theory and the general theory of relativity become relevant, which, however, contradict each other. A theory of quantum gravity would be necessary for the description.
Please enter a value and select a unit of length. It will be calculated how many Planck lengths correspond to this input. ^ means to the power of.

Example: one astronomical unit, which is the average distance between the earth and the sun, has almost 10^46 Planck lengths.

The Planck length is a fundamental quantity of the universe, independent of culture and environment. This is also true for quantum theory and general relativity, which are valid everywhere in the universe. This contrasts with other units of length we use. Meters, for example, refer to the size of the Earth, and feet to a part of the human body. Planck lengths could even be used to communicate lengths to extraterrestrials who have no information about us. However, the Planck length is very small, and when using it to express lengths, it has to be worked with very large numbers. A single proton has a diameter of 10^20 (hundred quintillion) Planck lengths.

The Planck length may be the shortest physically measurable distance. Investigating smaller distances would require energies that would inevitably create black holes.

The other basic quantities of the Planck units are related to the Planck length. The Planck time is the time it takes for light to travel one Planck length in a vacuum. The Planck mass is the mass whose Compton wavelength equals the Planck length. The Planck temperature is the temperature at which the thermal energy equals the energy assigned to a quantum with a Compton wavelength equal to the Planck length. The Planck charge is the charge at which the electrostatic repulsion between two charges of this magnitude equals the gravitational force between two Planck masses on the Planck length scale.