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ChrisisC
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How is it possible that there is a infinite amount of density at a point? I understand how number can be infinite but how does something tangible like matter reach infinity?
Orodruin said:What do you think "matter" is? It is not some esoteric substance. It is made up of components that on a (sub)microscopic level behave according to the predictions om quantum mechanics.
Only on larger scales does the "intuitive" approach of a continuum make sense.
They are not. In the case of standard classical GR, the singularity is (1) not "somewhere" - it is in the future of all observers - and (2) not a part of the universe.ChrisisC said:okay, then how is it possible that infinite particles are in one spot in the universe, say at a singularity in a black hole?
Orodruin said:They are not. In the case of standard classical GR, the singularity is (1) not "somewhere" - it is in the future of all observers - and (2) not a part of the universe.
It is also highly likely that classical GR breaks down before you reach the singularity.
Orodruin said:They are not. In the case of standard classical GR, the singularity is (1) not "somewhere" - it is in the future of all observers - and (2) not a part of the universe.
It is also highly likely that classical GR breaks down before you reach the singularity.
If it was part of the universe, it would be more like a moment in time than a place in space. That "moment in time" would be in the future of all observers.ChrisisC said:also, what do you mean by in the future?
Density at a point refers to the amount of mass or substance present in a specific location or point in space. It is a measure of how tightly packed the particles of a substance are at that particular point.
Density at a point can help us understand the concept of infinity by showing us how a finite amount of matter or energy can be distributed over an infinite space. It also highlights the idea that as the volume of a space approaches infinity, the density at a point within that space approaches zero.
Understanding density at a point is important in many scientific fields, such as physics, chemistry, and astronomy. It allows us to describe and quantify the distribution of matter and energy in space, and helps us make predictions about the behavior of various substances and systems.
No, density at a point cannot be measured directly as it is a theoretical concept. However, it can be calculated by measuring the mass and volume of a substance and dividing the two. This gives us an average density over a given volume, which can then be used to estimate the density at a specific point within that volume.
Density at a point is a measure of the amount of matter or energy at a single point in space, while density in a volume is a measure of the amount of matter or energy contained within a specific volume. Density at a point is more precise and can vary greatly within a larger volume, while density in a volume gives a more general idea of the distribution of matter or energy within that volume.