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zeromodz
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How much matter or energy density can be allowed in space and time before it closes in on itself?
Phrak said:As most things GR, this depends on a coordinate chart. One such chart is the Schwarzschild solution for an uncharged black hole without angular momentum. This relates the radius of a ball--from which a volume can be implied, to an enclosed mass. See the Wikipedia for the Schwarzschild solution relating mass to radius.
This would put an upper bound on the amount of mass a volume could contain, given the various conditions given above and within the context of classical physics.
zeromodz said:How much matter or energy density can be allowed in space and time before it closes in on itself?
The exact amount of matter that can be put in space is difficult to determine, as it depends on various factors such as the size and capacity of the space being considered. However, it is estimated that the observable universe contains around 10^80 atoms, which is an incredibly large amount of matter.
While there is no theoretical limit to how much matter can be put in space, there are practical limitations. For example, the laws of physics dictate that matter cannot be compressed beyond a certain point, and there are also limitations on the amount of energy that can be used to create and contain matter in a given space.
According to the law of conservation of mass, matter cannot be created or destroyed, only transformed from one form to another. This means that while matter can be moved or changed in space, it cannot be created out of nothing or completely eliminated.
The amount of matter in a given space does not directly affect time. However, the presence of matter can affect the curvature of space-time, which can impact the passage of time. This is known as gravitational time dilation, and it is a phenomenon predicted by Einstein's theory of general relativity.
There are potential consequences to putting too much matter in a given space, such as increased gravitational forces and changes in the structure of space-time. Additionally, if matter is not properly contained, it could potentially collide and cause destructive events. However, these consequences largely depend on the specific circumstances and quantities of matter involved.