Strictly speaking, this is not a commentary on Quantum Integer Programming (QuIP), but rather a *prequel*.

And an *exemplar* of the interplay of elementary mathematics and *unusual insights* in physics.

You may recall an earlier post of mine on *Wicked Problems*.

I introduced my concept of **maximally inverse** in my talk at the *Collective Intelligence* conference.

In the context of inertial frames of reference (“constant velocity” frames):

**Newton:** Time is the same; Speed is relative.

**Einstein:** Speed (of light) is the same; Time is relative.

As you can see from the simple math I worked out at the top of the post:

A Ferrari passes a standing observer, and at that instant of passing, the Ferrari driver shoots a pellet of light towards the ceiling of the car.

Newton would have analyzed the situation with the light pellet (he called it *corpuscle*) assuming that its x-velocity in the Ferrari is *v* larger than it would have been if it was instead shot by the standing observer.

Not so, says Einstein. It is just *c*, not *c+v*. It does not matter what *v* is.

So, if *c* is the *same* as *v* changes, something else has to give. What?

Time.

This is *Special Relativity* in a nutshell.

Everything else that follows (including **E** = **mc**^{2}) is a straightforward consequence of this unusual insight by Einstein.

If you want to see the steps to get to the *most famous equation ever*, I have also included it in the gallery at the top of the post (scroll right).