I think that you are right. Your math examples at: http://www.habitablezone.com/offtopic/messages/439881.html
explain the structure of mass in far more detail than my example.

My example of E= (U/K)C is (in my opinion) a more detailed formula of mass/energy relationship than Einstein's E= MC^2,
But your formulas tell us, not only that the mass contains energy, but also that the "energy" is part of the motion of the "mass," in other words, even the intrinsic energy within mass is kinetic in nature.
Not only that, your formulas also tell us that the (fundamental unit) of mass is a sphere.

Extrapolating from this knowledge, we can surmise that all types of "energy" exhibits it self in the form of "motion", or to put it differently, whenever we say the word "energy" we mean "kinetic energy."

Are there any examples of "energy" that is not "kinetic" in nature?

If all forms of energy are "kinetic" then the "potential" form of it does not exist, in other words, "potential" is a "force" that contains the "potential" for (kinetic) energy.
Energy exists only when something moves.

Motion can not be detected without a reference.

We can see light, we know that light (photons) have a frequency, wavelength, and speed, therefore they contain "energy," but what is it inside the photon that "moves"?
Electrons also have a wavelength and therefore a frequency, they also have something called a "charge" and they are affected by "magnetic fields."

Since we know through experimentation that electrons and photons contain "energy" then according to the above formulas these "entities" must also contain mass. M=E/C^2 or M= (U/K)/C. Energy can not exist without mass.

U= CM^2 = "potential for kinetic energy." (space where mass can move)
K= Mass in its kinetic form. (mass that is moving)
U/K= Mass that we are familiar with, ("that something" which composes all matter in the universe.)
Mass contains energy. E=MC^2 or E= (U/K)C

A 1 Kg. Mass that is "motionless" as far as its surroundings are concerned, still has energy or "motion" internally, not only as thermal/molecular * (1/T) or the orbits/shells of the electrons around the nucleus, * (1/T) but also as wavelength/frequency of the electrons, protons, and neutrons * (1/T) and then there is the 4Pi component that when multiplied by R^2 gives us the surface area of a sphere.

If we multiply 4*Pi by T^2, then we are looking at the structure of the "fundamental unit" of mass.
In other words the "fundamental unit" of (U/K) is a "bubble" where U= potential for energy. (Alternately, one can say that U= Space where mass can move.) "K" is the "mass" that moves within the "space" U.

T^2 is the "time" the "mass" takes to "traverse" or accelerate and decelerate within the confines of the forces of the "bubble".

THE BUBBLE. (Remember that this discusses the "fundamental forces" (or relativistic effects) within mass, or "how" the fundamental "unit" of mass is constructed.)

Suppose that we have a cubic area of space that contains "something" that we call "mass," suppose then that this mass is stationary and evenly distributed throughout that space. Under such circumstances the "mass" can attain higher density since the "space" within can be reduced by moving the "mass" closer together.

Suppose now that the "mass" starts compressing, becoming higher in density, as the density increases the kinetic energy of the mass also increases, and "space" is left on the "outside" of the compressing mass.
As the "mass" increases in density and kinetic energy, it will attain the point where there is no more "space" within for it to compress further, at that point the kinetic energy is at the maximum intensity. Since the (kinetic) "energy" can not be eliminated, and the mass can not compress any further, and there is "space" on the "outside," the "mass" explodes with the maximum force. F= MA, where A= a constant or "C", and "M"= a single "fundamental unit" of mass.

When the mass explodes it begins expanding and in the process forms a "bubble".

The "bubble's" mass density is inversely proportional to the square of the distance from the point of explosion.

As the "bubble" expands, the "space" within it grows according to the volume of a sphere. V= 4/3*Pi*R^3, and the "potential" for kinetic energy increases according to U= C*M^2.

As the potential force (or potential for kinetic energy) increases, the kinetic energy of the "mass bubble" decreases, eventually a point is reached where the kinetic energy of the "mass" is zero and the potential force (or "potential for kinetic energy") is maximum. When this condition is reached, the "potential force" within the "bubble" initiates the collapse of the bubble's mass and the cycle repeats. Since there is no energy lost in the explosion or implosion phases, the "mass bubble" will cycle forever.

This is how I envision the (fundamental) structure of mass, how this "mass" then forms all the combinations such as electrons, protons, neutrons, photons, etc., is a long story but becomes clearly understandable with the comprehension of this "fundamental mass" structure.

I prefer the use of the words "potential force" to explain the "potential" for kinetic energy.

In this relativistic explanation, the word "space" describes the area where the "potential for kinetic energy" manifests itself.

In the past I have also used the words "kinetic force" to explain the function of (fundamental) mass in motion.

To use the formula E= (U/K)C the combination of potential force and kinetic force values must be calculated from the same quantity of mass, that calculation gives us the indication of how much "space" the fundamental kinetic force or mass consumes. For instance if the fundamental mass quantity is 2, then 2 raised to the second power is 4, which represents the "fundamental" area that these forces occupy. Multiplying the 4 by the "Constant" gives us the quantity of potential force (space) that is in the said area. Then by dividing this result by the 2 fundamental mass units, we obtain a number that represents the total force of mass that the said square area contains. Then by multiplying the total kinetic (mass) force with the maximum acceleration, we get the maximum energy that can be contained within the said area.

For the above calculation:
C is +/- 3^8 meters per second
M= 2 = Mass quantity = (U/K)/C
M^2= 4 = Mass quantity squared
U= 1.2^8 = Potential force (potential for kinetic energy)
K= 6^8 = Kinetic force quantity
E= 1.8^17 = (kinetic) Energy total

In Einstein's formula of E=MC^2, the above explained "forces" are combined in the M and C^2 symbols, so that C^2 * 2= 1.8^17

The "fundamental unit" of mass in my opinion is a structure of kinetic and potential "forces" interacting with each other.

The fundamental "unit" can be as small as the electron or the quark or as large as the universe.

If I made errors in the explanation feel free to correct the math or terminology, constructive criticisms are always welcome.

Thank You
Johannes