What IS The Speed of Light Squared?

What IS Distance Squared Over Time Squared... ?

What is Time Squared?!

Dunno, BUT:

Well, Acceleration is Distance Over Time Squared...

And Distance Squared is Area

So might Speed Squared be The Acceleration Of Area?

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"The Acceleration of Area Is Constant" ?

If you were to release a ball down a ramp, its acceleration would be constant, (assuming constant gravity and constant slope).

If you drop a rock in a pond, the ripples propagate outward at a constant speed along the radius... But, interestingly, the Circumference of the ripple has a constant "acceleration" (distance over time squared)

If you were to create a "ripple" in three-D space, say by exploding some TNT in midair, the sound of the explosion would propagate at a constant speed radially in all directions, at the speed of sound... The surface-area of that 3D "ripple" would have a constant acceleration.

So, if all the energy in some mass were released instantaneously, it would create a spherical wavefront whose surface-area would "accelerate" at a constant rate.

E= MC^2

So, then... Energy is usually electromagnetic, right? And ripples in  electromagnetic fields travel at the speed of light...

So E=MC^2 basically says that if you were to instantaneously release all the energy that a mass *can* contain into a burst of electromagnetic energy, then that energy would propagate as an electromagnetic wave-front which has a constant "acceleration of surface area". I.E. a /sphere/ (?)

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Now, if we think of it this way, and we change our units of time and speed from meters and seconds to something instead related to the propagation of this wavefront, we'll find that the "constant acceleration of surface-area" (i.e. C^2) Is Directly Related to Pi^2, and thus the speed of light (radially) is in fact an integer constant times Pi. (?!)

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Musings not yet verified.

Note that I later found an article about a  relationship between Pi and C, which derives it through the half-period of a pendulum. Unfortunately, I'm not sure the math works-out, due to the fact that a pendulum's period is not /exactly/ as stated, but only /very close/, under some conditions. However, the fact is those /specific/ conditions seem to come /very close/ to equating C to Pi, in a very similar way as my wavefront-propagation theory does.

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So, what are the implications?

Dunno, haven't had time to really look into it, yet.

However, one path seems to suggest that gravity, too, is directly related to C^2 (and thus Pi^2), which makes sense if considering, again, the idea of the surface-area of a wavefront's propagation. 

Imagine a brief "pulse" of gravity as the opposite of an electromagnetic explosion... An implosion(?). Its wavefront (pulled into its center, rather than extending away from it) would have a constant acceleration (of surface-area). 

So, now, imagine a constant flow of such energy, much like a constantly-lit lightbulb...

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I dunno where it goes!

Here's a weird thought just popped-up...

Gravity doesn't /do/ anything, unless there's another object involved. So, until another object comes into the path of its (impulse) "wavefront," that wavefront exists everywhere on the sperical surface. But, when an object comes into its path, does that spherical surface "collapse" onto that object? Much like they suggest a photon may propagate outward in every direction spherically /until/ it hits something? At which point that sphere collapses onto that object, much like an expanding bubble in bubblegum "rubberbands" (spherically!) back to one's face?

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hmmm...