Anonymous at Wed, 12 Feb 2025 12:29:57 UTC No. 16583570

>>16583566
>"But what does it expand INTO?" -- Einstein edition

Anonymous at Thu, 13 Feb 2025 02:43:14 UTC No. 16584244

>>16583566
Nope, but I don't blame you for the conclusion. which seems like it should be an intuitive fact. It turns out that in math, curvature and bendiness can be mathematically defined without embedding your curvy bendy space into a higher dimension. You just have to define something called the "metric tensor" on your bendy space to talk about the bendiness. If you find this stuff interesting, you'd enjoy differential geometry.

Anonymous at Thu, 13 Feb 2025 03:13:12 UTC No. 16584265

>>16583566
What proof do you put forth to support spacetime curvature.
Be specific.

Anonymous at Thu, 13 Feb 2025 03:46:46 UTC No. 16584281

>>16584265
GPS satellites have to take the warping of both space and time into consideration or else their location estimates are WAY off

Anonymous at Thu, 13 Feb 2025 09:53:34 UTC No. 16584513

>>16584281
I think he errored out

Anonymous at Thu, 13 Feb 2025 23:07:12 UTC No. 16585253

>>16584513
Huh? What's your point?

Anonymous at Thu, 13 Feb 2025 23:15:07 UTC No. 16585257

>>16584281
GPS satellites demonstrate a time gradient, not a warping of space. There is no deflection of the signal--that's atmospheric.

Lorentz frame transition (which is used to correct time errors associated with the time gradient caused by a gravity well) dos not define the bending of space.

Try again.

>>16585253
It thinks I spend every waking hour on this board like they do?

Anonymous at Thu, 13 Feb 2025 23:22:26 UTC No. 16585262

>>16583566
you can, its might make it easier to understand and its likely equivalent. Gauss showed how to describe curved surfaces without embedding them in another space, you can still embed them

Anonymous at Fri, 14 Feb 2025 04:48:31 UTC No. 16585443

>>16585257
Alright, there actually is some minor space warping due to the gravity well of earth, but it is quite subtle, so let's ignore that for now.

Another example that's much more obvious is the gravitational lensing of light from supermassive objects. You can sometimes see things called "einstein rings" which is where a nearby galaxy bends the image of a more distance galaxy behind it into a ring shape around the nearby galaxy. You can look at images of a bunch of them taken by the Hubble telescope.

Anonymous at Fri, 14 Feb 2025 05:01:37 UTC No. 16585447

>>16585443
>There is minor space warping due to the gravity
I asked for your proof for spacetime curvature--you demonstrated time dilation not space distortion.

>Gravitational lensing due to supermassive objects
Those have never been proven as definitive evidence of spacetime curvature. If you think they have proven curvature I'd like to see what makes you think that. It is a rare phenomena at that, you'd think it'd be common but it isn't.

Do you really have no idea how spacetime curvature was proven? It seems that you really don't.

Anonymous at Fri, 14 Feb 2025 08:45:25 UTC No. 16585563

>>16585447
mercury orbit precession