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The black-body radiation formula, the Stefan–Boltzmann law, is derived treating photons as massless.

Questions:

  1. What would the Stefan–Boltzmann law look like if derived assuming that photons have mass?

  2. What other common relations are based on the assumption of massless photons?

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    $\begingroup$ To understand how this would change you need to start by changing this argument. The first change to the latter is replacing $\frac{hc}{2L}\sqrt{\sum_i n_i^2}$ with $\sqrt{(\frac{hc}{2L})^2\sum_i n_i^2+m_0^2 c^4}$, where $m_0$ is the photon's rest mass. $\endgroup$ – J.G. May 8 '18 at 10:49

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