re: E=M*(C^2) question?
I think that you are correct when you say:
Seems like mass is just the absolute intensity times 4Pi, in regards to energy over the surface area of the sphere we're measuring.
That of course seems to be in contradiction to the post by ER on 9/23/2006 6:10:56 PM
As for your original question, are these two equations connected? The answer is no. The Einstein equation relating mass and energy is the result of applying the the definitions of force, momentum, energy, etc in a relativistic, not a classical environment. They were then verified by actual experiments. The intensity/power relation you describe is just a result of the properties of spheres, it a geometrical result, not a physical one. Anthing radiating from a point source, whether it be light, gas, sound, electric charge or even gravity is going to "spread out" according to an inverse square law fashion.
According to my understanding ER is correct when it comes to the calculations in the macroscopic or "classical environment," but in my opinion you are correct when it comes to calculations in the "relativistic" or sub atomic level.
Imagine that the smallest possible quantity of (baryonic) mass is a sphere that alternately explodes and implodes.
In other words the "sphere" alternates in density between two extremes. In its highest density it is solid, (no "space" within) but this "solid mass" explodes into a spheroid leaving "space" or emptiness within.
From the moment of explosion the mass accelerates at the maximum velocity (c) decreasing in density as the square of the distance, the "space" within this mass "bubble" increases with the cube of Pi.
Newton's formula states that f=ma. Since in this instance we are considering a single "unit" of mass, then the linear force of the mass is same as "c", since this expanding "bubble" has a "square area" that is expanding, the potential force that is created inside the "bubble" in the form of "emptiness" is calculated with the formula u= cm squared, where u is the potential force.
In other words the (baryonic) mass that is visible to us, contains both kinetic and potential energy.
To calculate the total energy of any mass, you can use the formula: e= (u/m)c.
Where, e= energy, u= potential (for energy), m= mass, c= (constant) speed or acceleration of light.
Or you can use Einstein's e= mc2 to come to the same conclusion.
At least that is part of my interpretation of the formula.
You can find further information at:
http://www.habitablezone.com/offtopic/messages/426107.html