# The Four Dimensional Cube

Interpretations of Quantum Mechanics are like projections of four dimensional objects into three dimensional space.

You will get a three dimensional object - but it will look weird and will act weird.

There are many ways to project a four dimensional object into three dimensional space (also depending on where from you "look" at it) - but all will appear and act weird.

A long time ago friends of mine created a computer graphics interface that at the time could do calculations ordinary computers could not.

One fun thing we did with it was to create a model of a four dimensional cube (a tesseract), then project that into three dimensional space and display that via the graphics interface on the computer screen.

Now, a computer screen of course has a two dimensional surface. If you want to display a three dimensional object on it, you have to project it into the two dimensional space of the screen.

But the interesting thing is: What you see on screen, actually *looks* three dimensional. We, our eyes and brains, are able to *interpret* the two dimensional lines, pixels and colors on the screen as a three dimensional object.

In our head these images on screen form the notion of a three dimensional object. And for that it is *not* necessary to know that object already or ever have seen it.

This works, because we *know* three dimensional objects - our internal representation of the world is three dimensional.

On the other hand, if we project a four dimensional object onto that screen, what we see to us simply looks *strange* - we cannot connect it to anything we *understand*.

And that is how all interpretations of the Quantum Theory feel like - strange, weird, loopy. Because they are projections of the quantum reality of nature into our three dimensional inner world-representation, into our *classical* brain.

Here are two animations - one from a rotating cube and one from a rotating tesseract. When viewing the tesseract animation keep in mind that it is only *rotating* (in four dimensional space), it is not deforming in any way!

(Cube animation selfmade, Tesseract animation courtesy of Jason Hise published on Wikipedia)