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/sci/ - Science & Math

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6809370 No.6809370[DELETED]  [Reply] [Original]

Could anyone please post the mathematics (as well as the explanation) behind the spacetime concept - how space and time are unified, etc. I'm a philosopher, but I also have a background in mathematics - Calculus 1, 2, 3, Linear Algebra, Intro Real Analysis, Intro Abstract Algebra, Intermediate Mathematical Logic, ZF axiomatic set theory, etc. I'm interested in this as this concept connects science and philosophy.

>> No.6809411

Anyone?

>> No.6809415

can't you google it? The concept is basically, you know how you can't move faster than the speed of light, supposedly? So if we have something that's one light year away, it would take one year minimum to reach. So if we have a model of the universe, and we have two points that are 1 light year away from eachother, then, in essence, the timeline at one point is 1 year behind the timeline of the other. There's alot more stuff, but if you're really interested my explanations won't suffice: use google. It's sort of combining the space and time graphs into a space time graph, where moving in space moves backwards in time, depending on your speed, because you move to other points where the timeline is slightly further back compared to the timeline you were at before moving.

>> No.6809418

>>6809370
Can you google Special Relativity?

>> No.6809444
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6809444

>>6809370
GR is based heavily in tensor math and metric transformations between different curvilinear reference frames. The gist of it is that motion through 4-space due to gravitation depends mainly on three things - manifolds, metrics, and matter.

Manifolds are your geometry - a global topology comprised of sets of locally flat coordinates
Metrics define your inertial paths (in GR, inertial paths are paths of maximum proper time)
Matter, both how much of it and how its arranged, determine your metric solutions.

Or to put it another way - the presence of matter determines the paths that other matter can travel relative to it. Unfortunately I'm terrible with the actual mathematics of GR.


Check out Hobson's General Relativity if you want a proper, mathematically rigorous explanation.

>> No.6809477

>>6809370
Go to /r/ for requests and to /lit/ for philosophy.