Originally posted by Holden McGroin
If spacetime is created at the Bang, then the idea of before the Bang is undefined, and no space in which any thing could exist.
In Quantum Vacuum there is no time and no space. I have a problem with expressing 'existance' of Quantum Vacuum when the concept of location within space time has no meaning.
I understand exactly what you are saying. This is not something that I can visualize within the normal four dimensional spacetime metric that I exist in.
The only way to describe the quantum vacuum is to place it in Hilbert space. We use complex numbers to describe orthogonal position vectors, momentum vectors, and their associated eigenvectors. These vectors are ’real’ only within this Hilbert space, since without a spacetime metric, there are no yardsticks, or stopwatches.
Theoretically and mathematically, these virtual particles should have existed in the quantum vacuum. This has been empirically verified by experimental physics, so this is now part of our objective reality. So, we have particles which are not real (virtual particles) existing in a mathematically constructed (Hilbert) space, and yet the effects of these particles can be accurately measured in our objective reality. The Universe is a strange place!
The energies within this quantum vacuum are enormous. Enough to create this Universe, and many more if need be. In fact, like Einstein’s cosmological constant, they are thrown out of equations, since nobody likes dealing with really large numbers:)
Rotax447