Vacuum permittivity as a fundemental dimensioned unit

[Phrak]

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?

 

[Meir Achuz]

epsilonzero is directly related to c.

 

[Phrak]

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.

 

[Meir Achuz]

muzero in SI is not a measured constant. It is arbitrarily defined as 4piX10^-7.

 

[PJC01]

I can clarify that vacuum permittivity is indeed a fundamental dimensioned unit, also known as the electric constant. It is denoted by the symbol ε0 and has a value of approximately 8.85 x 10^-12 Farads per meter. This constant plays a crucial role in electromagnetism and is used to calculate the strength of electric fields in a vacuum.

While it is true that many physical quantities can be expressed in terms of the fundamental constants G (gravitational constant), h (Planck's constant), and c (speed of light), the permittivity of vacuum is not directly related to these constants. It is a separate and independent fundamental constant that is derived from the properties of vacuum.

Furthermore, the argument that this constant excludes particle masses from consideration is not entirely accurate. While it is true that the permittivity of vacuum is not directly related to particle masses, it still plays a crucial role in determining the behavior of charged particles and their interactions with each other.

In summary, vacuum permittivity is a fundamental constant that is independent of G, h, and c. It is a crucial quantity in electromagnetism and its value is derived from the properties of vacuum.