If you have a vacuum within a piston say and compress its volume what happens to it? I am trying to understand how a vacuum that is 'nothing' - no molecules / energy within it can have properties such as Volume and a sort of existence that obeys physical laws. I guess I am ultimately thinking about how the universe might have originated from nothing.
I'm going to go with the assumption that the vacuum is contained within a chamber, whose volume can be changed by a piston. This makes more sense than a vacuum in a piston.
With this tightening of terminology now consider what is meant by a vacuum.
The absence of matter - definitely
The absence of energy - not true within a chamber since the chamber walls will constantly supply blackbody radiation.
Can you 'compress' the vacuum by moving the piston.
For matter the term makes no sense since there is none.
For energy the the the specific energy (=energy per unit volume) does not alter since
the volume (V) = cross section (A
s) x length controlled by the piston (L)
and the irradiating area A
i = perimeter(P) x L.
The irradiation is proportional to the irrating area.
[tex]SpecificEnergy = \frac{{k{A_i}L}}{{{A_s}L}} = const[/tex]
where k is the irradiation constant
I think the answer is obvious if you tighten up on your terminology.