schwarzchild radius

#720: HOOPA

This troublemaker sends anything and everything to faraway places using its loop, which can warp space.

There is only one known physical phenomenon capable of warping time and space as Hoopa’s rings do: a black hole.

Somehow, inexplicably, this pokemon seems capable of using and manipulating black holes to its desire. And yet, just by holding it there, we can gather all the information we need to more closely analyze its mysterious hoop.

First things first: Black Holes do not suck. It’s a common misconception, but the facts remain if our Sun was replaced with a black hole with the exact same mass, nothing would happen to our planet or its orbit. (It would be significantly darker and colder, but that’s besides the point). Where does this misconception come from?

Well, everybody has heard that black holes have so much gravity that not even light can escape them. Here’s the catch—that’s only true within a critical limit called the Schwarzschild Radius.

The Schwarzchild Radius is a distance, by definition, where if you are any closer to the black hole than that, you would need to be moving faster than the speed of light to escape its gravitational pull. And as a fellow called Einstein showed, it’s impossible to go faster than the speed of light.

As it turns out, the equation for the Schwarzchild Radius is much simpler than you would think;

Where G is Newton’s Gravitational Constant, and c is the speed of light.

Which brings us back to Hoopa. It sends things through it’s hoop, meaning you have to be inside of the loop to experience it’s space-warping effects.

In other words, we know its Schwarzschild Radius.

From the Pokedex, we know that Hoopa is 1’08” tall. Since we’re scientists, we know that is equivalent to 0.508 meters. Doing a quick comparison of it’s height to it’ hoop, we can deduce that it’s hoop measures 0.343 meters across. Which means, Hoopa’s Schwarzschild Radius is 0.171 m.

From the equation above, we can infer that Hoopa’s Black Hole has a mass of 1.16e+26 kg, or roughly .006% the mass of the sun.

This, of course, is not a small number. An object of this mass weighs 1.16e+23 metric tons on earth, almost 20 times more than the entire planet itself. Hoopa must be strong.

Similarly, if this is the mystery behind Hoopa’s shenanigans, there’s still plenty left unsolved. For example, we can only assume that the hoop itself somehow contains the black hole’s gravitational effects. If it didn’t, it would be impossible to walk near Hoopa without feeling the crushing force of gravity. Not to mention,  it would likely have a extremely significant effect on our orbit around the sun, as well as our moon and the many satellites orbiting around us.

And that’s without even touching its unbound form.

anonymous asked:

What is the Schwarzchild radius of your mom?

You know, I didn’t ask to get my feelings hurt….

Approximately 1.1*10^-25 meters.