I can imagine a 3+1 dimensional "event" called "SPACE" that can exist in-and-of itself i.e. this SPACE may or may not contain anything but itself.
I can also imagine this 3+1 dimensional event as something which may or may not contain matter and/or it may or may not contain energy.
If the event I have above recognized as SPACE contains some matter, then this SPACE has density (m/v).
1) But where does the volume (v) come from? Is this volume also a 3+1 event that exists independent of SPACE? Or is volume simply a mathematical tool or construct designed to help us give expression to a particular "pattern" of energy/matter?
2) Does this posited 3+1 dimensional event called SPACE become dimensionally altered when, for whatever reason, it is found to contain, envelop, embrace, co-exist with, etc. some units of matter and energy?
3) Because no two things can occupy the same place at the same time, does the matter and energy just spoken of displace in any way the 3+1 dimensional space?
4) In other words, does space expand,contract to accomodate matter and energy?
Thank you for your kind assistance,
Algird
I can also imagine this 3+1 dimensional event as something which may or may not contain matter and/or it may or may not contain energy.
If the event I have above recognized as SPACE contains some matter, then this SPACE has density (m/v).
1) But where does the volume (v) come from? Is this volume also a 3+1 event that exists independent of SPACE? Or is volume simply a mathematical tool or construct designed to help us give expression to a particular "pattern" of energy/matter?
2) Does this posited 3+1 dimensional event called SPACE become dimensionally altered when, for whatever reason, it is found to contain, envelop, embrace, co-exist with, etc. some units of matter and energy?
3) Because no two things can occupy the same place at the same time, does the matter and energy just spoken of displace in any way the 3+1 dimensional space?
4) In other words, does space expand,contract to accomodate matter and energy?
Thank you for your kind assistance,
Algird
0 Comments On This Entry
Space isn't a 3+1 case, that is called space-time. Space, is simply made of vectors, which can be thought of as ''directions'' in space from a single point (however in space in general, there is no such thing as an up and down, I am just trying to keep this simple). Now, matter and energy exists in spacetime (our four dimensional case) or you can also say that spacetime contains energy and matter. Spacetime does have a density, in theory. This theory is called relativity and it describes what is called curvature. Curvature is caused by ''warping'' spacetime, which every piece of matter or energy does. The best way to think of this, as thinking of spacetime as a sheet which can respond to objects which may bend it's fabric (however this is only an analogy). Curvature can also be thought of as spacetime storing energy. Volume itself is what spacetime contains. The volume of something is the space which it occupies and the density of an object is measured by calculating how much matter or even energy is occupying this space. Photons however can occupy the same space at the same time... but this involves superpositions and is very hard to reconcile. In the presence of energy, spacetime can indeed contract. Depending on the sign of the energy (plus or minus) however, it can also make spacetime expand rather than contract.
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