/sci/ - Science & Math » Thread #13385327

36KiB, 560x332, 80830B19-B089-45E7-89B4-CF58B4269428.jpg

View Same Google iqdb SauceNAO

Anonymous Mon 12 Jul 16:27:47 2021 No.13385327 View Reply Original Report

Quoted By: >>13385355 >>13385481

can one perform physics calculations in four dimensions? for example, could one run a simulation of two 4d cubes colliding together?

Anonymous

Anonymous Mon 12 Jul 2021 16:34:08 No.13385344 Report

Quoted By: >>13385353

https://www.youtube.com/watch?v=0t4aKJuKP0Q

Anonymous

Anonymous Mon 12 Jul 2021 16:35:37 No.13385347 Report

Quoted By: >>13385546

Quantum mechanics does calculations in infinite dimensions.

Anonymous

View Same Google iqdb SauceNAO 1587E34B-C9F7-4F5E-926A-978A04B5 (...).png, 55KiB, 300x270

Anonymous Mon 12 Jul 2021 16:37:01 No.13385353 Report

Quoted By:

>>13385344
woa

Anonymous

View Same Google iqdb SauceNAO 1624268132595.jpg, 32KiB, 400x400

Anonymous Mon 12 Jul 2021 16:37:33 No.13385355 Report

Quoted By:

>>13385327
computer graphics: the art of using 4d math to manipulate 3d objects to create a 2d image

Anonymous

Anonymous Mon 12 Jul 2021 17:19:39 No.13385481 Report

Quoted By: >>13385553

>>13385327
computation wise I believe you just add 1 extra dimension to vectors and it runs like it would with 2D or 3D. Hard part is probably that we lack any intuition about 4D.

Anonymous

View Same Google iqdb SauceNAO 032fee7b1cabb91f3d1206b1515512cb.jpg, 83KiB, 850x729

Anonymous Mon 12 Jul 2021 17:40:46 No.13385546 Report

Quoted By: >>13385556

you can do some, but sometimes you must make allowances. cangular momentum in particular is very tricky to reconcile in any dimension higher than 3.
>>13385347
wrong, at least in spirit. hilbert space is infinite in dimension, however the commutor relation between angular momentum operators in the Dirac formalism, $\hat L_x,\hat L_y]=i\hbar\hat L_z<br />$ , only makes any physical sense in a 2+1=3 dimensional world

Anonymous

Anonymous Mon 12 Jul 2021 17:42:52 No.13385553 Report

Quoted By: >>13385669

>>13385481
you would think it be that simple, yes

Anonymous

Anonymous Mon 12 Jul 2021 17:43:22 No.13385556 Report

Quoted By: >>13385602 >>13385609

>>13385546
Anon, QM is more than just angular momentum operators.

Anonymous

Anonymous Mon 12 Jul 2021 18:04:02 No.13385602 Report

Quoted By:

>>13385556
Yes. That's why I said some physics can be done, but you must make allowances. Regular ass classical mechanics and matrix-wave mechanics don't work in more than 3D, isn't that simple. :)

Special relativity is kind of about forcing the cross product to work in 4 dimensions, anyway.

Anonymous

View Same Google iqdb SauceNAO 64752a6a884195ad46a672f7afb7cc1b.jpg, 100KiB, 800x520

Anonymous Mon 12 Jul 2021 18:05:04 No.13385607 Report

Quoted By:

>13385556
Yes. That's why I said some physics can be done, but you must make allowances. Regular ass classical mechanics and matrix-wave mechanics don't work in more than 3D, isn't that simple. :)
Special relativity is kind of about forcing the cross product to work in 4 dimensions, anyway.

Anonymous

View Same Google iqdb SauceNAO 64752a6a884195ad46a672f7afb7cc1b.jpg, 100KiB, 800x520

Anonymous Mon 12 Jul 2021 18:06:41 No.13385609 Report

Quoted By:

>>13385556
Yes. That's why I said some physics can be done, but you must make allowances. Regular ass classical mechanics and matrix-wave mechanics don't work in more than 3D, it isn't that simple. :)
Special relativity is kinda about forcing the cross product to work in 4 dimensions, anyway.

Anonymous

Anonymous Mon 12 Jul 2021 18:23:21 No.13385669 Report

Quoted By: >>13385693

>>13385553
yeah, it is

retard

Anonymous

Anonymous Mon 12 Jul 2021 18:29:18 No.13385693 Report

Quoted By: >>13385929

>>13385669
I have a 4D sphere of mass M and uniform density in 4D centered at the origin. I now put a torque on it, T, along the w axis, that passes through the middle of the sphere.
Q: What is the equation of motion of the sphere?
Hint: This is trivial in 3D but overly complicated in 4D.

Feel free to define moment of inertia in N dimensions.

Anonymous

Anonymous Mon 12 Jul 2021 20:35:04 No.13385929 Report

Quoted By:

>>13385693
>force on axis vector
thats just 2d movement. You can put it to the nth dim but math doesnt change. Hyperdimensions only get funky when you cant reduce your computations with some hypervector that reduces the dimensionality of the operation.

Anonymous

Anonymous Tue 13 Jul 2021 05:10:38 No.13387054 Report

Quoted By:

Literally just make your 3d vectors 4d vectors

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches