Space Bending: Questions & Answers

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    Bending Space
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Discussion Overview

The discussion revolves around the concept of space bending, particularly in the context of general relativity and the geometry of space. Participants explore the implications of space being described as "bent" and the mathematical frameworks that underpin this idea.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the notion of space bending, suggesting that for something to bend, it must exist in space, leading to confusion about the nature of space itself.
  • Another participant explains that "bending" refers to alterations in the geometry of space, contrasting Euclidean geometry with the more complex geometries used in general relativity.
  • A participant introduces the concept of fields, explaining that a metric tensor is used to describe gravitational fields and how they affect the movement of objects in space.
  • Further clarification is provided that objects in strong gravitational fields follow geodesics, which appear curved when viewed through the lens of Euclidean geometry.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and agreement on the explanations provided, but no consensus is reached regarding the fundamental nature of space and its bending.

Contextual Notes

The discussion includes assumptions about the definitions of space and geometry, as well as the complexity of general relativity, which may not be fully resolved in the conversation.

The UPC P
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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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