Vacuum permittivity as a fundemental dimensioned unit

AI Thread Summary
Vacuum permittivity appears to be independent of the fundamental constants G, h, and c, although it is directly related to the speed of light, c. The discussion highlights that while permittivity and permeability can be interrelated through equations, permeability (mu) is not a measured constant in SI units but is instead defined arbitrarily. The relationship between these constants raises questions about their expressibility in terms of G, h, and c. The equivalence of questions regarding permeability and permittivity is noted, emphasizing their interconnectedness. Overall, the conversation explores the foundational aspects of these physical constants in theoretical frameworks.
Phrak
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As the usual argument goes, as I understand it, everything can be expressed in units of G, h and c. (though this argument exclude the particle masses from consideration.)

The permittivity of the vacuum seems to be independent of G,h,c. Am I wrong?
 
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epsilonzero is directly related to c.
 
clem said:
epsilonzero is directly related to c.

Yes, thank you. One combination of c and epsilon yields permeability.

I was thinking of rephrasing, to ask if permeability and/or permittivity could be expressed in c,G,h, but the question is equivalent since mu nu c^2 = 1. The question is equal to asking about permeability.
 
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muzero in SI is not a measured constant. It is arbitrarily defined as 4piX10^-7.
 
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