What is the Meaning of "Empty Space"?

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"Empty space" refers to a theoretical construct in physics, indicating regions devoid of matter but not entirely without energy or fields. In quantum physics, it is characterized as a vacuum state filled with virtual particles that constantly appear and disappear. In general relativity, "empty space" can denote areas without matter but may still contain fields like electromagnetic fields, influencing gravitational effects. The term is often used interchangeably with "vacuum," though some contexts specify distinctions, such as "electrovacuum." Understanding these nuances is essential for discussions in quantum field theory and general relativity.
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Once again, hello to all !:smile: ,

I'm back with another quick question ...

Can you explain or redirect me to an explanation of what the term ' empty space ' means.

It’ all over in the threads I read, but it’s not quite clear to me as to what it pertains to …


Thank you,

VE
 
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"Empty" space is a theoretical construct that does not exist in our Universe. Even in the absence of matter and radiation, "empty" space is a teeming sea of virtual particles, coming into existence and annihilating in accordance with the Heisenberg Uncertainty Principle. You might think that for "something" to exist, there must be a "nothing" with which to contrast it, but that is not the case.
 
In general, "empty space" is a term used when the space baing refferenced is devoid of anything that would effect the outcum of the scenario in question.
 
ValenceE said:
Once again, hello to all !:smile: ,

I'm back with another quick question ...

Can you explain or redirect me to an explanation of what the term ' empty space ' means.

It’ all over in the threads I read, but it’s not quite clear to me as to what it pertains to …


Thank you,

VE
In quantum physics (or quantum field theory), 'empty space' means actually 'vacuum' and means the state of lowest energy (which is non-zero). So, empty space means in fact the sea (or soup) of virtual particles poppping in and out of existence.
 
To quote Steven Hawking: "Empty space isn't empty"
 
"Empty space" in the context of gtr?

ValenceE said:
Can you explain or redirect me to an explanation of what the term ' empty space ' means.

Since you are posting in the relativity forum, I will guess that you have encountered this phrase in the context of spacetime models, probably solutions of the Einstein field equation. If so, "empty space" refers to some region which contains no matter, but possibly contains some field such as an electromagnetic field (which will not interfere with uncharged test particles, except indirectly via the gravitational effects of the electromagnetic field energy). A "vacuum" region almost always refers to a region which contains no matter and no non-gravitational fields. Some authors use "empty space" as a synonym for "vacuum". An "electrovacuum" region contains only a gravitational and an electromagnetic field.

Examples of regions in a spacetime model which would NOT be called "empty space" under any circumstances include "balls of perfect fluid". Such fluid balls are often used to construct simple models of isolated stars by "matching across the surface" (where the pressure of the fluid falls to zero) to an "exterior vacuum region". Similarly, collapsing balls of pressureless perfect fluid, or collapsing "dust balls" for short, are often used to construct simple models of gravitational collapse by matching across some (topologically) spherical surface (the pressure is everywhere zero in the dust, so we have a lot of freedom here) to an exterior vacuum region.

In the context of stellar models or collapse models, you might see the terms "interior solution" (perfect fluid) and "exterior solution" (vacuum, or sometimes, imprecisely, "empty space"). If so, don't confuse these with discussion of the "interior region" versus "exterior region" of a black hole model; these would generally both be regions of "empty space"; their common boundary is the event horizon of the black hole.

Chris Hillman
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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