Space Bending: Questions & Answers

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Space bending refers to the alteration of space's geometry, specifically how objects behave and move relative to one another within that space. This concept is rooted in Einstein's General Theory of Relativity, which describes gravity as a metric tensor that defines how space is curved by mass. Unlike Euclidean geometry, which is flat, the geometry of space in strong gravitational fields can appear bent, with objects following geodesics that seem curved from a Euclidean perspective. Understanding this requires familiarity with mathematical fields and concepts, starting with Special Relativity before progressing to General Relativity. The discussion clarifies that when we say "space is bent," we are addressing the complexities of gravitational interactions and the mathematical frameworks that describe them.
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There is something that confuses me when I read about space bending.

For something to bend it needs to be in space, because otherwise bending does not exist. For example, it makes no sense to talk about the bending of bytes because bytes are not really in space.

So how come that space can bend? Is space in another space? And if it is can that space bend too?
 
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When we say that "space is bent", we mean that the geometry of space is altered from "flat". Flat geometry is known as Euclidean Geometry and is the geometry you were taught in school. Geometry is: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. (Per wiki) When we talk about space bending we are really talking about how objects behave and move relative to one another within that space. The mathematical way of setting up a model and figuring this stuff out is to assign some sort of value at every location in space. This is what a "field" is. A magnetic or electric field is technically just assigning different values to every point in space that tells you the direction and magnitude of the force a charged or magnetic object would feel at that location. For gravity, this "field" is known as a metric tensor and is much more complicated than an electric or magnetic field.

There's quite a lot involved in describing gravitation and the "bending of space". The current theory that does this is Einstein's General Theory of Relativity. GR is very advanced and very difficult to work with and requires a considerable effort to understand. If you're interested in learning more, I highly suggest starting off with Special Relativity, learning it, and then moving on to GR. Special relativity is the low-energy, low-mass approximation of GR and is typically what people start off with before trying to wrap their heads around GR.
 
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Thanks for the explanation and advice. I understand what they mean now.
 
To add a bit to Drakkith's correct explanation, things moving in space near strong gravitational fields DO travel in "straight lines" but these are straight lines (more formally called geodesics) in RIEMANN geometry, which when looked at from the point of view of Euclidean geometry appear "bent" or "curved"
 
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