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Philosophically I am uncomfortable with the notion of "constants"
Lets take μ and ϵ in a "moving media" scenario. If one digs deeper into how the waves look like from particle to particle the development of the wave equation becomes a little more complex. We need to examine the interaction of light with the first moving particle and then relate that to light interaction with the second particle. The second particle has a different relative speed. So how do we derive the equations for this case in point? Well, not only do we need equations for media, but also for moving media where μ and ϵ are tensors and therefore not constant.
But as I said I dont believe in constants - they are illusions of logic, and numerical conveniences. Science is a very effective and efficient religion. Perhaps the most impressive religious tool developed by humans so far.
In 190 BC, Eratosthenes has certainly developed a long lasting tool for the priests of the Scientific religion to use in their temples and laboratories.
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