Resonance equations (fwd)

["Tesla list" <tesla@xxxxxxxxxx>]

---------- Forwarded message ----------
Date: Sun, 5 Aug 2007 18:04:21 -0500
From: David Thomson <dwt@xxxxxxxxxxxx>
To: 'Tesla list' <tesla@xxxxxxxxxx>
Subject: Resonance equations

Forgive me for stirring up the pot again, but I have made an
interesting observation and quantification with regard to resonance.
As many of you know, I have been working on a new physics theory
(Aether Physics Model).  Getting to the relevant part for this post,
the theory predicts that resonance in an LC circuit should be
calculated as:

F.apm = sqrt(1 / 4pi * (LC)),

which is the same as:

F.apm = sqrt(pi / (4pi^2 * LC)).

The standard equation for resonance is actually:

F.standard = sqrt(1 / (4pi^2 * LC)) [often written as 1 / 2pi
sqrt(LC)]

While experimenting with 8 different Tesla coil setups, I found that
resonance can be achieved by both equations in every case.  So I built
a little test setup that I could drive with my signal generator.  And
after studying about resonance in a textbook, I found there at least
two different types of resonance.  For a given inductance and
capacitance, there is an oscillatory resonance (produces highest
potential) and a true resonance (produces zero potential).  The
standard LC resonance equation calculates the oscillatory frequency
for highest potential.  My resonance equation calculates the true
resonance of the system.

After doing further research, I found a third resonance equation,
which ties to the other two equations using the Pythagorean theorem.
The relationships of the three resonance equations are such that:

F.standard^2 + F.third^2 = F.apm^2

The third resonance equation is:

F.third = sqrt((pi - 1) / (4pi^2 * LC))

I have tested these equations for numerous inductance and capacitance
values and it works every time.  

Here is my question to the list.  Does standard electrodynamics theory
identify these three different resonances for any given LC
combination?  Also, have these three types of resonances been fully
investigated and their functions identified?

Dave

David W. Thomson 
Quantum AetherDynamics Institute