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Energy-momentum relation

The energy–momentum relation is an equation relating the total energy with any object's momentum and rest mass

 


Explanation

Substitution of the relativistic mass m in the formula E = mc2 gives

After squaring you get

and calculating gives

For the momentum applies p = mv such that

The total energy is E = mc2 and the rest mass energy is E0 = m0c2 and therefore you can write

 


Alternative 1

You can write the formula also as

where

    m0 Rest mass
    c Speed of light
    p Momentum

 


History

This relation was first established by British quantum physicist Paul Dirac in 1928.


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