In physics, the Planck mass (mP) is the unit of mass in the system of natural units known as Planck units. It is defined so that
where c is the speed of light in a vacuum, G is the gravitational constant, and ħ is the reduced Planck constant.
Particle physicists and cosmologists often use the reduced Planck mass, which is
The added factor of 1/√8π simplifies a number of equations in general relativity.
The name honors Max Planck, who was the firs...
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In physics, the Planck mass (mP) is the unit of mass in the system of natural units known as Planck units. It is defined so that
where c is the speed of light in a vacuum, G is the gravitational constant, and ħ is the reduced Planck constant.
Particle physicists and cosmologists often use the reduced Planck mass, which is
The added factor of 1/√8π simplifies a number of equations in general relativity.
The name honors Max Planck, who was the first to propose it.
The formula for the Planck mass can be derived by dimensional analysis. In this approach, you start with the three physical constants , c, and G, and attempt to combine them to get a quantity with units of mass. The expected formula is of the form
where n1,n2,n3 are constants to be determined by matching the dimensions of both sides. Using the symbol L for length, T for time, M for mass, and writing "[x]" for the dimensions of some physical quantity x, we have the following:
Therefore,
If we want dimensions of mass, the...
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