We obtain
from which it is given under consideration of the first equation (14):
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(17)
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Finally, the momentum is according to (10):
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(18)
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If we summarize everything, we come to the result:
If a body whose state at rest is given by the variables , is adiabatically brought to velocity , then the state variables assume the value:
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(14)
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(14)
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(17)
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(16)
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(18)
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These equations are in agreement with the results of the paper of Planck[1]. Besides thermodynamics, Planck used the relativity principle, while stating equation (10) for momentum is essential in our work.
- ↑ Berliner Berichte, 1907, p. 542.