Wave Nature of the Electron and Inductance

There have been reports of a Fourier spectrum of elementary particles. Light has a wave nature and so too do the elementary particles the electron, the neutron and the proton. All energy behaves in a wave/particle duality. If waves and vortexes are natural phenomena then how do we construct one from the other.

It is important to understand how the flux of electrons' flow around conductors and dielectrics. The telegraphers equations show us that the medium around a conducting wire causes capacitance, inductance and conductance in the wire. Resistance is caused by the electrons interacting with the conducting metal lattice.

Capacitance stores energy in kinetic electrons jumping off and then returning to the wire in a rather linear path. Inductance stores energy in electron turbulence or the curl of an movement of electrons after they jump off the wire. Conductance is composed of electrons that jump off the signal or power wire while other electrons makes their way to the return wire.

If ten to the power of ten electrons are moving down a wire some of the electrons will spill out or radiate from the wire. The electrons will move around a matrix of ions in the dielectric. As with any wave the wave will refract off of ions until the attenuated wave has moved in a circle. Could this be where we get inductance? A small percentage of electrons behaving as waves store inductive energy in the curl of the electron field flow.

The telegraphers equations show us the relative values of inductance, capacitance, conductance and resistance. A small percentage of conducted electrons end up moving like a wave in a circle just as we see that the relative inductance of a transmission line is extremely small compared with the conducting electrons component.

Electron Movement Causing Capacitance

What happens when we see electron movement without net electron movement? Charge balance and electron speed are such that if an electron moves and another electron replaces the moving electron in a very short time frame then there will have been no net displacement current.

Large numbers of electrons can become excited and move to a nearby ground plane or return connection. This means that large numbers of electrons in a dielectric will move counter to the charged electrons causing capacitance. The very statistics that make up the to and fro of electron movement in a capacitor are the electric field that stores energy in a Farad of capacitance.

Highly charged electrons move down a conductor. As they approach a dielectric they find a quick path to ground through the well know relationships displayed in the capacitance equation. Electrons statistically shoot down to the return conductor and are at once replaced by less energetic electrons in the dielectric. This statistical electron dance is said to store energy in the electric field. A vacuum of high energy electrons appears on the less energetic side of the capacitor as the electrons in the dielectric are sucked away to replace the high energy electrons moving quickly on the adjacent capacitor's plate.

Electron Flow

The flux of the electron field flow has stimulated scientific inquiry since before electrons had properly been discovered. A large enough mass will contain countless numbers of electrons. These electrons must be studied statistically and through field theory. In fact, all electrical theory is explained through vector fields.

Flows that flux in a turbulent manner or one that wraps back on itself in a circle are said to be inductive. That is to say a magnetic field is induced.

Flows that flux in a stochastic manner returning to the point of origin are said to be capacitive. There is a capacity to store energy in a fluxed field that does not exhibit continuous change.