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| Tags: constant, epsilon0, frames, mu0, reference |
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Julian Kalmar wrote:
"Kevin Aylward" wrote in message ... François Guillet wrote: "Kevin Aylward" a écrit dans le message de news: ... Julian Kalmar wrote: Hello All: I wonder, is the permittivity and permeability of free space considered to be the same in all reference frames... inertial and non-inertial? Yes. If they weren't, then the speed of light would not be invariant wrt. inertial frames. Not enough. If they weren't but their product constant, the speed of light would remain invariant. But the "impedance", i.e E/M, of space would then also be non constant in that case. This would case some issues. Hello Kevin: This is precisely what I'm after... does the impedance change and, what are the issues? The quantity in question is Zsub0 which is pretty nearly 377 ohms IIRC. Among other things, it's the starting point for antenna design, IOW the impedance you have to match (in a manner of speaking) to get a signal to propagate from a source/into a load. For starters, think about an atom trying to radiate away excess energy, or a bunch of them trying to come into equilibrium with their surroundings. For that matter, consider how the Coulomb force between a nucleus and orbital electrons will be affected, or between protons in a nucleus. 377 ohms/square is also the equivalent sheet resistance of the "surface" of a black hole, for fairly obvious reasons BTW. To go a bit deeper, look up how Zsub0 is defined. Will c be the same? It looks like you'd need something like a 3D spatial discontinuity (analogous to cosmic strings, except over a volume) which would amount to a different "phase" of vacuum from what we live in. There'd have to be an interface between this volume and ordinary space; think about what would happen to photons or matter trying to cross the interface. There are other issues. See what you can come up with. Mark L. Fergerson |
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