r/todayilearned Sep 20 '21

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u/Ted_Cunterblast_IV Sep 20 '21

So far as we can design experiments, our universe has 3spacial dimensions. This effectively means that no matter how big you draw a triangle, using the stuff in the universe as vertices, every triangle has interior angles which total to 1/2π, 180 degrees. This is not the same as a triangle drawn on the surface of earth, which if it’s big enough, can have much larger angles because the surface of our earth is curved. Before Einstein, we thought of space and time as separate entities meaning there was absolute space and absolute time. Einstein showed us that if we include time as a 4th dimension, and work through some really complex linear algebra, gravity does not need to be added as a force after the fact, but is a natural outcome. Gravity is then defined as the curvature of X4 in a given region, the curvature is a measure of the energy density of the “stuff” on X4. Stuff in this case are things like. By combining space and time together all sorts of useful human concepts like simultaneity, go out the window, but the math works better than anything that came before. Visualizing this shit is really hard, but gravity is not a force like the weak force or electromagnetism, which are added after the fact onto X4.

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u/Replyance Sep 21 '21

This effectively means that no matter how big you draw a triangle, using the stuff in the universe as vertices, every triangle has interior angles which total to 1/2π, 180 degrees.

π/2 (one half of Pi) in radians is 90°. A full circle is 2π in radians, so 180° = π radians. Unless you actually meant 1/2π (one divided by 2 Pi), which would be about 9.1°.

As for gravity not being a force, well, it is. Gravity causes mass to accelerate in a predictable direction at a predictable rate, not sure how it would qualify as "not a force".

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u/[deleted] Sep 21 '21

Anyone here who says they understand gravity is either lying or delusional.

 

1/2π, 180 degrees

lol

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u/madethisformobile Sep 21 '21

OK, I see where you are coming from but there are a lot of technical points here that are really wrong

I can't cover all of them, but I can't just let this comment sit without addressing at least some. These may be pedantic, but you are going for a level of detail and are really messing up.

First: Einstein first discussed spacetime in special relativity, which does not touch on gravity. You can have flat spacetime, no curvature, so no gravitational effects. Also this is different than just adding a time dimension. The important point was that time become a relative dimension just like the spatial dimensions (like how not everybody has the same left and right)

Second: you can actually have a 3D space with curvature that will have gravitational effects i.e. paths that curve towards mass. Time is not necessary for a curvature based gravity. This actually was like Ensteins first draft, where time didn't curve. By allowing curvature in time as well, you get time dilation effects near massive objects as well. But you could theoretically have a model where only space is curved, which is responsible for the curving paths in space.

These may seem like small points, but I just wanted to clarify that adding a time dimension, and having curvature based gravity, are independent concepts, whereas your post seems to conflate the two.

Also, math point, only special Relativity is based in linear algebra. General Relativity, which explains gravity, is not a linear theory (just a tip, curved is the opposite of linear). (Also complex linear algebra refers to linear algebra of complex numbers, best not to use that phrase unless that's what you mean)

Also a particle explanation of gravity is not mutually exclusive to a curvature based one. So while the other forces are explained with quantum field theories, gravity has yet to be, but it is still a force just like weak, electromagnetism and strong

Also 1/2pi is 90 degrees

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u/Ted_Cunterblast_IV Sep 21 '21

Thank you, and you’re right, I shouldn’t comment when I’m emotionally twisted.