CaptDude said:
Obviously, I can understand the literal meaning of the phrase "the big bang happened everywhere at once" But I have never read a satisfactory explanation that eloquently helped me understand this concept...
Imagine a volume of space. It may be either infinite in extent, or finite in a way that curves on itself, so that going straight in anyone direction makes you come back to where you started.
This space is filled with some sort of energy at high density and high temperature.
Pick any number of points in that space, and measure how far away they are spaced.
At some point in time, all the distanced you had measured begin to increase simultaineously. As a result, the temperature and density of all the energy filling the space drops. Where once there was only radiation, particles and antiparticles begin to pop up and manage to stay around longer and longer without annihilating. Finally it gets cold enough for the electrons and protons to combine which in turn allows light to move freely. That light is the CMBR. The distances keep on growing, and the stuff filling the space keeps on cooling and getting on average less dense (although local clumps of matter coalesce to eventually form galaxies).
That's pretty much the Big Bang
theory. It states that the universe as we see it today expanded from an earlier hot and dense state. Nothing more. That's why a question of "where did it happen" is not really applicable. It happened in the universe, or it happened everywhere are the best answers one can come up with, but the real answer is that the question is just not very sensible - the only reason it keeps getting asked is that BB is often, and misleadingly, described as an explosion.
A natural follow-up question to ask is: but what happened earlier than that? Where did all that energy come from?
If the BB were a person, it'd say: "Don't know, don't care. Not my jurisdiction".
Another source of confusion is the distinction between the BB
theory and BB
singularity. The singularity is what you get if you try and extrapolate the expansion backwards in time until you reach infinite densities and infinite temperatures at t=0. This is still a statement about the totality of space, and the reason people tend to confate it with a point in space is probably due to the fact that they first tend to come in contact with the concept of singularity in the context of black holes, whose singularities are of the spatial variety. It's important to remember that singularity is just a region where mathematics breaks down. The function ##y=1/x## has got a singularity at x=0. It's just an indication that the function is undefined for a certain value of the variable.