Pi is the cosmological constant

My high school grasp of mathematics is making it difficult for me to put this into an equation, but here is what I'm working on.

The equation of energy and mass equivalence (E=mc2) is very much like the equation of the area of a circle. (A=TTr2) 

Since circles are a pretty big deal in the looping spectrum theory, I am not considering this a coincidence. It makes sense to say that mass contains energy, just like a circle "contains" its area.



Alright, since Pi is the circumference of a circle divided by its diameter, I think the diameter represents the particle, and the circumference represents the wave. Pi describes the relationship between these two, and it is always the same. (or maybe always the same in a vacuum.)

A way to visualize this is to think of the center of a circle as a particle, and the circumference to be its corresponding wave. All particles spin, and the axis of the spin makes the diameter of the circle. The more energetic the spin, the bigger the diameter. (Could also be said "the faster the spin, the bigger the diameter" but I'd rather keep speed out of all of this.) So the more a particle spins, the bigger the axis gets, and the bigger the wave is.

A wave can also be seen as a particle though. Waves of gamma radiation, for example, in a vacuum would radiate out from the central point in every direction, creating a circle. If we measure this circle, and treat it like a particle, we could get a diameter for it by measuring its "spin energy" in terms of the frequency of the wave. Once we did that, we could get the circumference of its corresponding particle.

Hypothesis:
Using the equations that describe circles, it is possible to show the relationship of certain waves to certain particles. I believe this will be supported by the big particles (dense matter) emitting the smallest waves (gamma radiation) and the smallest particles (hydrogen and sub atomic) emitting microwaves or larger.

I'm not exactly sure if Hydrogen actually emits microwave radiation, but it has something to do with it. SETI uses the hydrogen line to send signals, so maybe hydrogen "conducts" microwave radiation? Semantics are getting in the way.