Good for you, Scoots! =gets my rotating office chair and joins you=

Fitting music
 
I guess it’s a bit of an inside joke to people as crazy about the movie “Interstellar” as I am, though Xp
 
It’s the soundtrack that plays when they’re trying to dock with the ship spinning out of control

@Master Fox  
Especially for something this fascinating!

@Master Fox  
You picked the wroooooong pony for a tl;dr image :p

@Cirrus Light  

A rotating frame of reference is an extraordinarily fascinating thing in special relativity - indeed, using a rotating frame of reference is a useful way to derive effects of general relativity using only the special theory.
 
For quick review: an object moving near the speed of light will appear to contract in length along the axis of travel. An utterly fascinating result comes from this:
 
Let’s say you lay measuring rods out a certain distance, r, and measure the radius of an imaginary disk you’re spinning on. The rods are moving perpendicular to the direction in which they’re laid out, so length contraction will make no effect: 1,000 1-meter rods will measure 1 km.
 
Now, by standard euclidean geometry, you should then, if you were to measure the circumference of this imaginary disk, get C = 2Pir, implying Pi = C/(2r).
 
However, because your frame of reference is rotating, as you lay the measuring rods out, they contract in length, so you’ll find that even though you measure a radius of 1,000 measuring rods, and by standard euclidean geometry you should then find a circumference of 2Pi1,000 = ~6,283, in reality, you will need more than 6,283 1-meter measuring rods to complete the circumference of a 1,000-meter radius circle in your rotating frame of reference! - because of length contraction! (remember, these measuring rods are holding still in your rotating frame of reference, so they’re actually moving with a certain velocity relative to the axis of rotation)
 
Now, this implies that in this rotating frame of reference, Pi < C/(2r), or in other words, space is warped - it is no longer euclidean.
 
In fact, because for a constant rate of rotation something further out on the disk must go faster than something closer towards the middle of the disk (observe that Scootaloo’s right ear is going much slower than her left ear in this picture due to this effect), then length contraction is more significant, and this non-euclidean space warping effect is stronger the further out you go in a rotating frame of reference.
 

 
Now, we’re also all familiar with another effect of rotation - centrifugal force. This is a “force” created by inertia in a spinning frame of reference. Laypony’s terms, when you spin really fast, it’s the thing that feels like it’s throwing you out of the spin. It’s that force that makes you dizzy, too, actually.
 
Now, the fascinating thing is, general relativity tells us that gravity is merely a force created by a frame of reference - much like the centrifugal force. In fact, a rotating observer could say that the force he feels pushing him away from the axis of rotation, is a gravitational field. By the nature of centrifugal force, the further out from the axis of rotation you go, the stronger this “gravitational field” gets.
 
Now, recall from earlier that this observer also measures that the further out he goes, the less euclidean space becomes, and the more it is warped in such a way that Pi < 3.14159… (Circumference/radius is greater than you’d expect for euclidean space). This effect is associated with this frame-dependent gravitational field - both are directly related to the rate of rotation of the frame of reference and the radial distance from the axis of rotation.
 
In fact, as it turns out, this is an actual property of gravity - not just the pseudo-gravity of a rotating frame of reference. In actual reality, gravity curves space in just this way. Except in the case of the rotating frame of reference, the gravitational field accelerated objects away from an origin, with increasing strength with increasing radial distance.
 
In the case of a gravitational field in a non-spinning, non-accelerating frame of reference, (one caused by an actual mass), the field accelerates objects towards the origin, with decreasing strength with increasing radial distance. As may be expected, the effect then is exactly the opposite - the stronger the gravitational field, the larger the value of Pi. In other words, in the presence of a strong gravitational field, such as over a black hole, neutron star, or white dwarf, when one measures the circumference around the star, then measures the radial distance to what he reckons the center of the star to be, he will find that C/(2*r) < 3.14159… .
 
In other words, gravitational fields curve space.
 

 
However, special relativity tells us that space and time are two sides of a single entity, spacetime. So if one can curve space, then time also, can be curved.
 
Can you curve space and time so much as to destroy cause and effect? To travel through time, and destroy the underpinnings of our very fundamental ideas of reality? Maybe, nobody knows, but the possibility is opened by curved spacetime in General Relativity.
 

 
With knowledge of special relativity, one can derive all of this from spinning.
 
Keep on spinning, Scootaloo, regret nothing, and unlock the secrets of the universe.
 

still about as funny as a kick in the teeth

5 minutes and a lost lunch later. “I regret everything!”