What is conductance?

Conductance is defined as the ability to conduct electricity.

It is widely believed that conductance is the reciprocal of the unit of resistance. However, experimental evidence does not show a linear relationship between conductance and resistance. 

The Aether Physics Model bases on a system of units where all charge is notated as a distributed dimension, i.e. all charge is notated as charge squared relative to single dimension mass. For example, instead of notating the unit of current as:

\(amp=\frac{coul}{sec}\)

current should be notated as:

\(amp=\frac{coul^{2}}{sec}\)

The unit of resistance is already notated in terms of \(coul^{2}\), but when distributed units are used, resistance should be expressed as \(coul^{4}\). 

Five units (conductance, inductance, capacitance, permeability, and permittivity) are also alread expressed in terms of distributed charge, but these units are correctly notated. 

In a system of units with distributed charge, the reciprocal of the unit of conductance is actually magnetic flux. There are physical experiments that do show a linear relationship between conductance and magnetic flux.

Understanding Conductance in Terms of Space

Conductance is a factor of Coulomb's constant:

\(k_{C}=c\cdot Cd\frac{\mu_{0}}{\epsilon_{0}}\)

The value of conductance in MKS units is then:

\(Cd=2.112\times 10^(-4)siemens\)

However, the value of conductance in cgs units is exactly equal to the speed of photons. The values and dimensions of Coulomb's constant and its factors in cgs units are:

\(1=c\cdot c\cdot \frac{\frac{4\pi}{c^{2}}}{\frac{1}{4\pi}}\)

where Coulomb's constant is 1, the speed of photons remains the speed of photons, the conductance constant of space is also equal to the speed of photons, permeability is equal to \(\frac{4\pi}{c^2}\), and permittivity is equal to \(\frac{1}{4\pi}\).

Thus conductance is literally equal to the speed of photons in the cgs system of units.

The Physical Applications of Conductance Velocity

Conductance velocity is an important concept of biophysics. The speed at which electric currents flow through a nerve or other tissues indicates the relative health of the tissue conductance being measured.

Conductance velocity is also a useful concept in electrical engineering. The ability for a conductor to conduct electric current at fast or slow speeds will affect the performance of an electrical circuit.

Resistance vs. Magnetic Flux

The MKS and SI systems of units express charge as a single dimension, with the exceptions of the units of conductance, inductance, capacitance, permeability, and permittivity. The units of resistance and magnetic flux are similar to each other with the only difference being in the charge expression of the unit:

  Quantum Measurements Units MKS Units
Resistance \(resn=\frac{m_{e}\cdot {\lambda_{C}}^{2}\cdot F_{q}}{{e_{emax}}^{4}}\) \(R=\frac{kg\cdot {m}^{2}}{sec\cdot{coul}^{4}}\)
Potential \(potn=\frac{m_{e}\cdot {\lambda_{C}}^{2}\cdot {F_{q}}^{2}}{{e_{emax}}^{2}}\) \(V=\frac{kg\cdot {m}^{2}}{sec\cdot{coul}}\)
Current \(curr={e_{emax}}^{2}\cdot F_{q}\) \(I=\frac{{coul}}{sec}\)
Magnetic Flux \(mflx=\frac{m_{e}\cdot {\lambda_{C}}^{2}\cdot {F_{q}}}{{e_{emax}}^{2}}\) \(\lambda=\frac{kg\cdot {m}^{2}}{sec\cdot{coul}}\)
Conductance \(cond=\frac{{e_{emax}}^{2}}{m_{e}\cdot {\lambda_{C}}^{2}\cdot {F_{q}}}\) \(G=\frac{sec\cdot{coul}}{kg\cdot {m}^{2}}\)

 

The above table shows the structures of select units in the distributed charge based system of Quantum Measurements Units as compared to the structures of units in the MKS Units. 

In this table it is clear that conductance is the reciprocal of magnetic flux, and not resistance. The units of potential and current are provided so the reader can work out the dimensions of Ohm's law in each system of units. It is easy to see that the dimension of charge in the unit of resistance is squared compared to the dimensions of charge in the units of potential and current in both systems of units. 

Resistance is a unit that is similar to the unit of magnetic flux, with the only difference being the charge notation of each unit. This is why one can get approximately correct results for conductance by taking the reciprocal value of resistance. 

However, it should be apparent from the impedance formula for LC circuits that resistance is inadvertantly being added to magnetic flux, which is why the impedance formula requires the introduction of imaginary numbers. One cannot add magnetic flux to resistance because the units are dimensionally different, but because the dimension of charge is single dimension in magnetic flux and is squared in resistance, the value offset can be corrected through the use of the square root of negative one. 

For physics to be truly accurate, phsyicists should be using a system of units based on distributed charge, and conductance should be seen as the reciprocal of magnetic flux measurements.