Quantiverse
I’m going to the Quantiverse.
It’s all numbers there. Everything else isn’t.
I’m here. I land, alighting on 1. It’s the only thing I can see at first anyway. Gotta start somewhere. The source of the rest of it at first glance.
As soon as I touch down, 2 lights up, and oh, actually there’s the rest of them anyway. At least in this direction. 3 and 5 and 395832583529 x 10^3434367112 and so forth.
0 is behind me. Not gonna look at it yet. It’s upsetting. Except it isn’t behind me because it isn’t anywhere. Or I guess really it’s everywhere something isn’t, which maybe is most of it. I glance around. What percentage of this place exists? Is there more nothing than something?
That’s a bit too much to take in. I look over at 2 to ground myself.
I decide to take a step from 1 to 2. +1 they call it.
Ah. Ok, easy. Forward we go. 2 to 3. 3 to 10. 10 to 150. Woah, big one.
Wonder how big I a step I can take?
From 150 to a 1,000,000. Easy. 1,000,000 to 1,000,000,000. Just as easy. Ok, from 1,000,000,000 to 1,000,000,000 ^ 1,000,000,000. Yup, still easy, here at least.
I think there isn’t a biggest step I can take.
Can I go back? I think so.
I retrace my steps. Subtraction they call it. Same idea I think, just in the other direction.
How small a step can I take? 1,000. 10.
Can I go smaller?
I glance around to make sure no one is looking. Hope I don’t get in trouble.
I tentatively reach out to reach 9 but I pull short. Is there anything there to put my foot on? Hope so. Dunno what happens if there isn’t.
I hit 9.5. Oh, look at me. There was something there.
Holy shit the gaps are filled in.
Actually, hold the phone… (I’m borrowing this imagery a bit from Berlinksi’s A Tour of the Calculus now.)
There aren’t gaps. Weird. No matter how closely I look.
It’s weird. There’s no gaps, so it’s continuous like, no parts. Except it’s all parts? I mean 3.43 is just what it is, not 3.431. Perfectly discrete, but with no gaps. Wild. It splits forever.
I take a .01 step. I take a .001 step. I take a 5 x 10^-33859667 step.
So there isn’t a smallest step I can take either.
I keep walking. Ah, seems I’m about to reach 0.