Gold Barz said:
Is the vacuum = quantum foam?
what "vacuum" means depends on the theory
string theory has many possible vacuums and they haven't settled on which they want to represent reality
quantum field theory has a rigid vacuum with no gravity. the QFT vacuum is usually flat but sometimes given some fixed curved shape. QFT is good at modeling matter, but not gravity.
Loop Quantum Gravity has a model of spacetime called a "spin foam" in which gravity (and the changing geometry of space) can be modeled,
but LQG has not gotten very far along in the project of representing MATTER in that "foam" vacuum. they still are using highly simplified matter-fields in LQG analysis and trying to get the geometry to work.
Probably there are several more physical models where they use the word "foam" to describe the mathematical framework representing space. Meteor has just mentioned something about foam "flowing", in some theory I have never heard of.
In LQG the foam representing spacetime DOES NOT FLOW anywhere
it is a way of describing a path along which the geometry of space can evolve
some string theorists have also been using the term "quantum foam" too and I can't tell what they mean by it. the term was cropping up in a notable paper by Dijkgraaf, Gukov, Neitzke, and Vafa posted at the end of last year.
People are still groping for mathematical models that can comprise both particle physics and gravity (i.e. changing geometry of space responding dynamically to the matter in it). they use all kind of WORDS to refer to their various attempted mathematical models
the words are not the reality
the mathematical models come a bit closer but they are not the reality either