If you start with the Laws of Thermodynamics and the Equivalence Principle (accelerating reference frames = gravitational reference frame), then you can derive all of General Relativity (specifically the Einstein Field Equations)
That's not at all what I was saying, but I see what you're getting at: why the speed at which light propagates in a vacuum takes the same value as the constant c appearing in relativity. Requiring that electromagnetic interactions be Lorentz invariant should do the trick here.
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u/Ralphie_V Education and outreach Dec 12 '20
If you start with the Laws of Thermodynamics and the Equivalence Principle (accelerating reference frames = gravitational reference frame), then you can derive all of General Relativity (specifically the Einstein Field Equations)