Vacuum as the low energy limit of....

[oquen]

It is said that the physical vacuum, is by definition a state with no "physical particles" -- more precisely, it is the ground state (state of lowest energy) of the field.

Is there any beyond standard model where the vacuum is a lower energy limit of another theory or stuff... like the holographic principle or event horizon of a black hole?

Or is it correct to say that the vacuum is low energy limit of a quantum gravity stuff?

Or the idea that the vacuum Lorentz invariance is a kind of temporary symmetry much like when you raise the temperature of certain object it becomes magnetized (or unmagnetized).. or the vacuum like surface of boiling water.. when you cool it.. you get new dynamics or new degrees of freedom?

 

[Fractal matter]

Yes, vacuum can be considered as a condensed matter system in its ground state (low energy limit) .
Yes, Lorentz invariance is a low energy symmetry(temporary).
Effective theory(possesing Lorentz symmetry) is valid only at low energies/small frequencies and large distances.

Easy to read here in details:
Quantum Field Theory and Condensed Matter Physics: making the vacuum concrete
https://www2.physics.ox.ac.uk/sites...8-05/making_the_vacuum_concrete_pdf_67668.pdf