Julia GalefVerified account

If you really want to troll someone, make a graph of the version with '2*cos(t)' which the paper says goes all the way up to 111 (!) before breaking down at 113.

shiiiiiiit

I have no clue what this means but, "this is proof the universe is a simulation" is it possible someone can help with laymens terms? I only speak Associates at best

I'll give this a whack. Okay so *generally speaking*, in mathematics one of the strongest forms of proof is proof by induction. This works by saying the following: Okay, this seems to work at n=1, n=2, and n=3. So let's try and show that given n=x is true, show n=x+1 is true.

Thus, if it holds, for all x the statement is valid because we know x-1 is valid, and thus x-2, all the way down to the cases we proved directly.

Here, we have a problem which shows that a particular sequence of operations equals exactly pi/2. This is significant because mathematicians love finding pi in everything. It's kind of cool that we can directly represent pi with things we can calculate to arbitrary precision.

But in this case, the sequence breaks down, and only BARELY, some 7 or 8 iterations in. That's fascinating and not obvious, and according to the original paper the reason has to do with the behavior of this sequence at certain points, and it just sort of magically doesn't work.

The reasons why are complicated and I barely understand them, but the fact that a seemingly perfect sequence breaks down so subtly (less than 0.00000001% error!) Is absolutely fascinating.

I see so, since the seemingly endless pattern broke for no reason, and people cant tell exactly why, it comes off as breaking some fundamental rule of the universe?

It's not that people can't tell why-we can actually mathematically describe why this happens, but it's pretty spooky that this inconsistency happens. Usually in math, there are three kinds of results: that it never happens, that it happens once, and that it happens infinitely.

Some math is indeed useless. Taylor series, this, and fractals

.....this is a WILD claim

Reality is mathematical, but math is not rational. Honestly, I love reality. Understanding the math is icing on the cake.

Now I want cake and pie...