/sci/ - Science & Math » Thread #11568125

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Anonymous Wed 15 Apr 18:56:27 2020 No.11568125 View Reply Original Report

Quoted By: >>11569151 >>11569615 >>11570581 >>11571406 >>11571413 >>11572359 >>11574488

>I believe that space is discrete.

Anonymous

Anonymous Wed 15 Apr 2020 19:02:40 No.11568148 Report

Quoted By: >>11568156 >>11568162 >>11568165 >>11568174 >>11568251 >>11569099 >>11570554 >>11573193 >>11575516 >>11576693

The universe is isomorphic (graph thereotically) to the metric graph $\mathbb{Z}^3$ , where every edge has a Planck length

Anonymous

Anonymous Wed 15 Apr 2020 19:04:55 No.11568156 Report

Quoted By:

>>11568148
based and redpilled

Anonymous

Anonymous Wed 15 Apr 2020 19:06:09 No.11568162 Report

Quoted By:

>>11568148
retard

Anonymous

Anonymous Wed 15 Apr 2020 19:07:08 No.11568165 Report

Quoted By:

>>11568148
Now THAT is a claim, I say R3

Anonymous

Anonymous Wed 15 Apr 2020 19:08:32 No.11568174 Report

Quoted By: >>11568186

>>11568148
how is your hypothesis testable?

Anonymous

Anonymous Wed 15 Apr 2020 19:12:00 No.11568186 Report

Quoted By: >>11568215 >>11568665

>>11568174
>how is your hypothesis testable?
Provide two vertices of the universal graph less than a Planck length apart.

Anonymous

Anonymous Wed 15 Apr 2020 19:20:31 No.11568215 Report

Quoted By:

>>11568186
B-but anon, I can't do that!

Anonymous

Anonymous Wed 15 Apr 2020 19:33:53 No.11568251 Report

Quoted By: >>11568300 >>11568400

>>11568148
Quoted straight from wikipedia:
>It is the smallest distance about which current, experimentally corroborated, models of physics can make meaningful statements.
>...
>The Planck length is sometimes misconceived as the minimum length of space-time, but this is not accepted by conventional physics, as this would require violation or modification of Lorentz symmetry.

Anonymous

Anonymous Wed 15 Apr 2020 19:49:50 No.11568300 Report

Quoted By: >>11568322 >>11568371

>>11568251
>wikipedia
Any non-popsci sources?

Anonymous

Anonymous Wed 15 Apr 2020 19:53:34 No.11568322 Report

Quoted By:

>>11568300
Scroll down to the citations portion, m8.

Anonymous

Anonymous Wed 15 Apr 2020 20:07:24 No.11568371 Report

Quoted By: >>11573136

>>11568300
Wikipedia is not pop-sci nor is it pop-math

Anonymous

Anonymous Wed 15 Apr 2020 20:14:47 No.11568400 Report

Quoted By: >>11568406

>>11568251
okay so then modify Lorentz symmetry, what's the problem mate?

Anonymous

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Anonymous Wed 15 Apr 2020 20:16:28 No.11568406 Report

Quoted By:

>>11568400

Anonymous

Anonymous Wed 15 Apr 2020 21:32:27 No.11568665 Report

Quoted By:

>>11568186
Just squeeze real hard. It's easy if you're not weak.

Anonymous

Anonymous Wed 15 Apr 2020 23:43:49 No.11569099 Report

Quoted By:

>>11568148
Pixelated space...

Was your mind designed on polygon system? I do not exist if your approach was inflicted over real analysis.

Anonymous

Anonymous Wed 15 Apr 2020 23:59:02 No.11569151 Report

Quoted By: >>11569407

>>11568125
U r correct

Anonymous

Anonymous Thu 16 Apr 2020 01:20:02 No.11569407 Report

Quoted By:

>>11569151
ty

Anonymous

Anonymous Thu 16 Apr 2020 02:49:27 No.11569615 Report

Quoted By: >>11570549

>>11568125
Prove that it is not.

Anonymous

Anonymous Thu 16 Apr 2020 10:14:46 No.11570549 Report

Quoted By: >>11570607 >>11570621 >>11571395 >>11572923 >>11573672 >>11573775 >>11573908

>>11569615
Newfag
>take two points in space
>walk half the distance
>mark position
If I can do this once and then show that if I can do it once, I can do it a second time, then by induction we know there are infinite points between any two points and hence spacetime is continuous. Easy.

Anonymous

Anonymous Thu 16 Apr 2020 10:17:35 No.11570554 Report

Quoted By: >>11570573

>>11568148
Contradicts rotational symmetry.

Anonymous

Anonymous Thu 16 Apr 2020 10:29:02 No.11570573 Report

Quoted By:

>>11570554
No it doesn't.

Anonymous

Anonymous Thu 16 Apr 2020 10:34:14 No.11570581 Report

Quoted By:

>>11568125
This stock picture sure is popular, I've seen it on both Coursera and Matlab's website.

Anonymous

Anonymous Thu 16 Apr 2020 10:56:05 No.11570607 Report

Quoted By: >>11572339 >>11572923

>>11570549
I am not OP. But it seems that you are not quite sure what "continuous" means. Then again, I am not sure that the OP knows what "discrete" means.

Anonymous

Anonymous Thu 16 Apr 2020 11:10:14 No.11570621 Report

Quoted By: >>11572339 >>11572923

>>11570549
>and then show that if I can do it once, I can do it a second time
please do it

Anonymous

Anonymous Thu 16 Apr 2020 11:11:38 No.11570624 Report

Quoted By: >>11570640 >>11570650 >>11572923

If spacetime is not discrete, that would mean we're already infinitely big.

Anonymous

Anonymous Thu 16 Apr 2020 11:23:40 No.11570640 Report

Quoted By:

>>11570624
You are, anon, you are. And infinitely powerful as well. Enough to spout any kind of nonsense on 4chan that you desire. Enjoy your kissless sexless life.

Anonymous

Anonymous Thu 16 Apr 2020 11:25:22 No.11570642 Report

Quoted By: >>11572923

define discrete (in the sense of the real world, not a topological space)

Anonymous

Anonymous Thu 16 Apr 2020 11:27:53 No.11570650 Report

Quoted By: >>11570683

>>11570624
What if we started out infinitely big, and atoms are shrinking and getting exponentially heavier?

Anonymous

Anonymous Thu 16 Apr 2020 11:44:29 No.11570683 Report

Quoted By: >>11570690

>>11570650
If everything shrinks at the same rate, we would not experience any difference.

Anonymous

Anonymous Thu 16 Apr 2020 11:47:41 No.11570690 Report

Quoted By: >>11572923

>>11570683
We'd think the universe was expanding.

Anonymous

Anonymous Thu 16 Apr 2020 16:50:51 No.11571395 Report

Quoted By: >>11572339 >>11572923

>>11570549
You can keep going forever and yet every measurement you make will be a discrete distance.

Anonymous

Anonymous Thu 16 Apr 2020 16:53:58 No.11571406 Report

Quoted By:

>>11568125
I believe 4chan isn't.

Anonymous

Anonymous Thu 16 Apr 2020 16:56:09 No.11571413 Report

Quoted By: >>11572923

>>11568125
>I believe
retard

Anonymous

Anonymous Thu 16 Apr 2020 21:49:30 No.11572339 Report

Quoted By: >>11572923 >>11572925 >>11573146 >>11574152

>>11571395
>discrete distance
What does that even mean? Distance is defined in continuous spaces. I wouldn't be able to measure distance if spacetime were discrete.

>>11570621
Okay. Since a measurement yields a distance, and the very notion of distance is one defined and only possible in measurable, connected spaces, that means if I can do one refinement (thereby proving we're living in a measurable connected space), then I can also do it a second time, as part the argument above.

>>11570607
If it seems so you must be an undergrad at most, since I have a masters degree in continuity equations.

Anonymous

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Anonymous Thu 16 Apr 2020 21:56:26 No.11572359 Report

Quoted By:

>>11568125

Anonymous

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Anonymous Thu 16 Apr 2020 21:59:30 No.11572378 Report

Quoted By:

but by the Zeno's paradox...

Anonymous

Anonymous Fri 17 Apr 2020 01:00:44 No.11572923 Report

Quoted By: >>11573686

>>11570549
bigbrain
>>11570607
>>11570621
>>11571395
He's trolling, my friends.
>>11570624
hugebrain and unironically true
>>11570642
look up 'quantization'
>>11570690
What if the universe is shriking with us?
>>11571413
dumbfuck
>>11572339
>What does that even mean? Distance is defined in continuous spaces. I wouldn't be able to measure distance if spacetime were discrete.
Anon, you a dumb

Anonymous

Anonymous Fri 17 Apr 2020 01:01:53 No.11572925 Report

Quoted By: >>11573696

>>11572339
you are actually pretty good at trolling, 8.37/10 my good friend

Anonymous

Anonymous Fri 17 Apr 2020 02:29:32 No.11573136 Report

Quoted By: >>11573615

>>11568371
True, it’s worse than popsci

Anonymous

Anonymous Fri 17 Apr 2020 02:33:22 No.11573146 Report

Quoted By: >>11573696

>>11572339
>what does discrete distance even mean?
5-3=2

Anonymous

Anonymous Fri 17 Apr 2020 02:57:31 No.11573193 Report

Quoted By: >>11573215

>>11568148
fpbp

Anonymous

Anonymous Fri 17 Apr 2020 03:07:24 No.11573215 Report

Quoted By:

>>11573193
But surely, the uncertainty principle would play a role here. Wouldn't it be more reasonable to say it's Z^3

Anonymous

Anonymous Fri 17 Apr 2020 06:05:51 No.11573615 Report

Quoted By:

>>11573136
i dare you to go to any wikipedia page on math/physics with more than 1500 words and point out a single error that is not in the humanities (ie. spelling, date wrong...etc)

Anonymous

Anonymous Fri 17 Apr 2020 06:43:40 No.11573672 Report

Quoted By: >>11573696

>>11570549
try to do it with your computer screen retard

Anonymous

Anonymous Fri 17 Apr 2020 07:00:49 No.11573686 Report

Quoted By:

>>11572923
>look up 'quantization'
>quantization means discrete
Anon, im expert on this. You don't know what you're talking about. Very different things.
>Anon, you a dumb
What is the distance between two disconnected points?

Anonymous

Anonymous Fri 17 Apr 2020 07:05:10 No.11573696 Report

Quoted By: >>11573775 >>11575041

>>11572925
>>11573146
Guys, I'm serious, for defining distance you need to define a metric. To define a metric you need a connection (parallel transport). For all this you need a (at least pseudo-)Riemannian manifold. Even undergrads in my studies knew this.

>>11573672
There is definitely space between the pixels. I tried. I could point a needle pin between them. I've experimentally verified there's no discontinuities in space on my computer screen.

Anonymous

Anonymous Fri 17 Apr 2020 07:57:37 No.11573775 Report

Quoted By: >>11573908

>>11573696
>There is definitely space between the pixels. I tried. I could point a needle pin between them. I've experimentally verified there's no discontinuities in space on my computer screen.

I have chosed the computer screen as a representation of something that is prototypically discrete -- its literally a 2D grid. I am not arguing that its physical manifestation as a piece of hardware is keeping this property, it's just a useful metaphor.
What actually is my argument is that that induction from >>11570549 can be executed even on a discrete surface, which means that the argument is a piece of shit

Anonymous

Anonymous Fri 17 Apr 2020 09:57:18 No.11573908 Report

Quoted By: >>11574119

>>11573775
>What actually is my argument is that that induction from >>11570549 (You) can be executed even on a discrete surface
But no, it can't. How could you get between two disconnected points? It's impossible. Show how that would work.
It's like standing on a canyon and trying to cross it without a bridge. You can't just float in nothingness.

Anonymous

Anonymous Fri 17 Apr 2020 13:22:26 No.11574119 Report

Quoted By: >>11574484

>>11573908
>How could you get between two disconnected points? It's impossible. Show how that would work.
>It's like standing on a canyon and trying to cross it without a bridge. You can't just float in nothingness.

The same way a black pixel travels across your blank computer screen?

Anonymous

Anonymous Fri 17 Apr 2020 13:38:51 No.11574152 Report

Quoted By: >>11574484

>>11572339
>Okay. Since a measurement yields a distance, and the very notion of distance is one defined and only possible in measurable, connected spaces, that means if I can do one refinement (thereby proving we're living in a measurable connected space), then I can also do it a second time, as part the argument above.
I meant show the implication "if I can do it once, I can do it a second time"

Anonymous

Anonymous Fri 17 Apr 2020 16:01:32 No.11574484 Report

Quoted By: >>11575516

>>11574119
Disappearing and appearing again? My fren, were doing physics here, not magic.

>>11574152
But I did. By showing that I am capable of the very act of measuring a distance, I showed that the space between the endpoint of my ruler must be continuous, since only a manifold has the properties necessary to define a (pseudo) Riemannian metric (note, metric comes from meter, which basically means measure). Hence, I can repeat the process ad infinitum showing that spacetime is certainly not discrete.

Anonymous

Anonymous Fri 17 Apr 2020 16:02:09 No.11574488 Report

Quoted By:

>>11568125
I believe life is a simulation and I bought one

Anonymous

Anonymous Fri 17 Apr 2020 19:42:01 No.11575041 Report

Quoted By: >>11576689

>>11573696
>Guys, I'm serious
:^)

Anonymous

Anonymous Fri 17 Apr 2020 22:18:46 No.11575516 Report

Quoted By: >>11576689

>>11574484
Not the anon you are replying to but.
I don't honestly understand your concerns, >>11568148 makes totally sense to me, you could see the "space" as a graph (or matrix, idk) of plank scale 3d entities.
Don't know if this is applicable to te time dimension (i should think about it), but definitely space given this definition is discrete, what's between a plank unit and the other one? Nothing, since you cannot even misure such distance.
It's like (maybe i am exaggerating) "what's between 0.999... and 1?".

Anonymous

Anonymous Sat 18 Apr 2020 05:19:49 No.11576689 Report

Quoted By:

>>11575516
>what's between a plank unit and the other one? Nothing, since you cannot even misure such distance.
What's between an inch and another one? Nothing, since you can't measure it.
Friend, space and time aren't disconnected entities. But just assume for a second space was discrete. Then we would observe momentum not to be conserved, as per Noether's elegant theorem. We do see it conserved though, so that buddy's post must necessarily be incorrect.

>>11575041
Well, I am. No metric = no distance. The process of defining distance is quite clear, since mathematicians took a closer look at Einstein's physical machinery of general relativity.

Anonymous

Anonymous Sat 18 Apr 2020 05:21:17 No.11576693 Report

Quoted By:

>>11568148
The universe is an infinitely dividable 5 dimensional torus.

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