I should have clarified that I was using dependence logic to describe my view regarding the derivation/ratio of C, and by 'dimension' I am referring to the mathematical definition, an independent parameter of coordinates needed to describe the system.

All phenomena within Electrical Engineering can be deduced from the 4 primary dimensions of Space, Time, Dielectricity, and Magnetism.

Lets take Ohms law as another example. V=IR; voltage, current, resistance and try to find the primary dimensions:

* Voltage can exist without current or resistance (charged capacitor)

* Current can exist without voltage or resistance (permanent magnet, or superconducting coil)

* Resistance CANNOT exist without both current and voltage. Thus, we can conclude Resistance is not a primary dimension but instead a natural ratio or relationship between the other two.

Now lets do something like 'resonant frequency' f = 1 / (2π √L C)

* L can exist without capacitance or frequency (permanent magnet, or superconducting coil)

* C can exist without inductance or frequency (charged capacitor)

* Frequency (in this formula) CANNOT exist without the factors L and C. Thus, we can conclude that 'Frequency' is not a primary dimension but a natural or relationship between the other two.

Now lets electrically analyze speed of light (or rather the velocity of a signal in empty space):

* Permittivity can exist without permeability (dielectric constant, as modeled as a capacitor)

* Permeability can exist without permittivity (permeability, as modeled in an inductor)

* 'C' cannot exist without both permittivity and permeability. Thus we can conclude that C is not a primary dimension but instead a natural ratio between the other two.

This becomes most evident when we look at the electrical characteristics of free space:

Z0 = 376.730313668(57) Ω

https://en.wikipedia.org/wiki/Impedance_of_free_space

The reason I find this POV interesting is because it presents new and unexpected solutions that lead directly to falsifiable experiments. A whole new region to explore electrically, without rewriting any existing formulas.

PS: I might move this all to a new thread as I find it an interesting side-topic by itself.

"An overly-skeptical scientist might hastily conclude by scooping and analyzing a thousand buckets of ocean water that the ocean has no fish in it."