So ... about black holes

The laws of space and time break down inside a black hole.

Is there a possibility that 2 + 2 ≠ 4 inside a black hole?

Well first off you’re confusing mathematical identities with objective reality.

Secondly, a blackhole needs to be thought of as 3 regions, outside the event horizon, inside the event horizon and the singularity at the centre. Spacetime doesn’t “breakdown” until you start trying to figure out what’s happening at the singularity.

Or a region sufficiently close that GR/QM blow up

All numbers become asymptotically close to zero as they approach the singularity. So, while 2 + 2 may still = 4, that may be for vanishingly small values of 2 and 4.

Just MHO. I haven’t actually been there yet.

2 + 2 = 4 has nothing to do with the laws of space and time, but can be proved within the axiomatic definition of mathematics - which I studied 50 years ago. The definition of “4” is such that 2 + 2 = 4. 4 is succ(succ(succ(1)))

% Black hole succ! Black hole succ! %

you don’t need a black hole for that…just start counting in base 3, where 2 + 2 = 11.

Inside of a black hole it’s too dark to add.

Wouldn’t it be really bright inside a black hole, because of all the trapped light and whatnot falling down on you as you fell towards the centre?

Does 2 ever approach so close that it is between 2 and 1, but is still a whole number?

In the hyperreal number system, you can have a number that is less than 2 but larger than every decimal number less than 2. Larger than 1.99, larger than 1.999, etc. Then, you can “convert” the number back into a decimal by throwing away that small difference (called an infinitesimal). What you get is exactly 2, a whole number.

Not exactly what you asked for, but probably as close as you can get. It’s all perfectly sound if you follow the rules.

This has nothing to do with black holes, though I would say it is an open question what number system the universe uses.

Accretion disc.

For interesting violations of the laws of physics, how about naked singularities?

I was thinking about inside the event horizon…

:: hides eyes ::

I didn’t notice this the firtst time I poked through this thread:

I chuckled, thinking “Wait til Elon reads this, and starts selling tickets. One way, to start with…”

n/m . . . Duplicitous Post

One need not submerge in cosmic darkness. Out here in the open air we find that 1+1=3 for large enough values of 1. XKCD explicates the approximations.

Are those “buck naked”? (You can be buck naked with your socks on. – Jerry Clower)

“God made the integers; all else is the work of man.”
[indent]-- Leopold Kronecker[/indent]

Actually what I was thinking about was this new idea that information is destroyed in a black hole.

Neither Discovery Channel or Science Channel explain the concept very well so I thought I would ask here.

Is this some new thinking about black holes? I thought the theory was that information is never destroyed, even in a black hole. Has the thinking changed on that?

He only said that because Cantor was talking smack about him behind his back. Just normal math drama.