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 is based 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 already expressed in 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. Some physical experiments 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 conductance value 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 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 measured tissue conductance.

Conductance velocity is also a useful concept in electrical engineering. The ability of 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, except for the conductance, inductance, capacitance, permeability, and permittivity units. 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.

This table clearly shows 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 resistance unit 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 inadvertently 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. Still, because the charge dimension is a single dimension in magnetic flux and is squared in resistance, the value offset can be corrected using the square root of the negative one (imaginary number).

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

Impedance Equation

For example, in the impedance equation:

$$\left | Z \right |=\sqrt{R^{2}+\left ( \omega L-\frac{1}{\omega C}\right )^{2}}$$

It is assumed that frequency times inductance is equal to resistance, and the way that the MKS and SI systems of units are set up, this would be true. However, the MKS and SI systems of units incorrectly notate charge in all electrical units, except five units, in terms of single dimension charge. The units of conductance, inductance, capacitance, permeability, and permittivity are given correctly regarding charge squared.

Without any other logical reasoning, the impedance equation is given in terms of imaginary numbers:

$$Z=R+\left ( \iota\omega L-\frac{1}{\iota\omega C}\right )$$

When the units are corrected such that all units express in terms of charge squared, then what is being added is resistance and magnetic flux rather than two units of resistance.

Resistance cannot be added to magnetic flux because the dimensions are not the same, and this is where the imaginary number makes up for the mismatched dimensions.

Imaginary numbers express a distributed quantity (squared quantity) in terms of a linear quantity. The only reason this is necessary is because the dimensions are wrong, and hence the introduction of imaginary numbers means the formula is invalid.