Gravity

Ideas about how a world with more than three spatial dimensions would work - what laws of physics would be needed, how things would be built, how people would do things and so on.

Gravity

Postby PatrickPowers » Thu Mar 16, 2023 5:08 am

Ed Witten says the (approximate) 1/d^2 rule of gravity in general relativity comes directly out of there being three spatial dimensions. So we could expect in N D that the rule is 1/d^(N-1).
PatrickPowers
Tetronian
 
Posts: 387
Joined: Wed Dec 02, 2015 1:36 am

Re: Gravity

Postby New Kid on the 4D analog of a Block » Fri Mar 17, 2023 2:45 am

They were discussing this before, or sometimes just assuming it. In fact, you were involved in the first discussion, although it was five years ago.
viewtopic.php?f=27&t=1695&p=26208&hilit=distance
viewtopic.php?f=27&t=2324&p=26384&hilit=distance
viewtopic.php?f=27&t=2546&p=27889
You made the interesting point that even in 3D, not all forces obey an inverse-power law.
User avatar
New Kid on the 4D analog of a Block
Dionian
 
Posts: 26
Joined: Mon Jul 16, 2018 2:27 am
Location: Pacific Northwest

Re: Gravity

Postby PatrickPowers » Fri Apr 21, 2023 4:54 am

That's true. But Ed Witten is the smartest man in the world so I pay attention to him.
PatrickPowers
Tetronian
 
Posts: 387
Joined: Wed Dec 02, 2015 1:36 am

Re: Gravity

Postby Vector_Graphics » Sat Sep 16, 2023 8:07 pm

I personally use 1/d^2 even in 4D, just to make it so you can have orbits.
Vector_Graphics
Mononian
 
Posts: 5
Joined: Sat Sep 16, 2023 7:35 pm

Re: Gravity

Postby Vector_Graphics » Sat Sep 16, 2023 8:07 pm

??? Did my post go through? I personally use inverse square even in 4d to allow stable orbits to exist.
Vector_Graphics
Mononian
 
Posts: 5
Joined: Sat Sep 16, 2023 7:35 pm


Return to Higher Spatial Dimensions

Who is online

Users browsing this forum: No registered users and 1 guest

cron