Planck length Guide, Meaning , Facts, Information and Description

The Planck length is the natural unit of length, denoted by .

Table of contents

1 History 2 Value 3 Consequeces 4 See also

History

This unit was first developed by Max Planck who wished to create a system of measurement based on natural units. These are all based on the Planck mass. Although quantum mechanics and general relativity were unknown at the time that the units were proposed, it later became clear that at distances of the Planck length, gravity would begin to display quantum mechanical effects, requiring a theory of quantum gravity to predict what happens.

Value

The Planck mass is a mass where its Schwarzschild radius and its Compton length are equal. In such a mass, the two distances are equal, and that distance is the Planck Length which is equal to:

metres

where:

is Dirac's constant

G is the gravitational constant

c is the speed of light in vacuum

Consequeces

By the Heisenberg uncertainty principle of standard quantum mechanics, an object whose position was accurate to the Planck length would have an uncertainty in momentum approximately 3.2629 kg m / s. What this means, is if one could determine the position of a baseball and be accurate to the Planck length, it would be unable to determine if the ball was at rest, or traveling at 22.89 m/s (approximately 51 miles an hour).

See also

• Natural units
• Planck time

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