BIg Bang Happened everywhere

Question

According to the Friedmann equations big bang happened everywhere, but if we account for inflation theory, big bang did not happened everywhere. How ? Anyone please explain. Please see the video for reference.

Answer 1

Okay, I think I know what Max Tegmark is talking about in the video. He is referring to the fact that, when you observe the cosmic microwave background radiation (CMB) — i.e. the radiation that was "released" when the Universe had expanded and cooled sufficiently to allow protons and electron to combine into neutral hydrogen without immediately being ionized again — you find that it has almost (to within $1$ in $\sim10^5$) the same wavelength everywhere, no matter in which direction you look, meaning that the temperature of the Universe was almost the same when it was emitted.

In a universe like ours, but without inflation, this is puzzling. The reason is that, using the observed expansion rate and densities of the universe, you can calculate that at early times such a universe would simply expand so quickly that it would be impossible to reach thermodynamical equilibrium on such large scales as the Universe we observe today. In fact, when we look at the sky, any two points separated by more than roughly 1 degree would never have been in causal contact, i.e. been able to exchange information. Thus, there would be no way for one of these points to know e.g. what is the temperature of the other points, not to mention the rest of the universe.

This puzzle is called the horizon problem.

_{Map of the CMB sky. The color coding shows the temperature of the radiation, and red is roughly $18\,\mu\mathrm{K}$ hotter than blue.}

^{Credit: ESA/Planck Collaboration (plus my own annotations).}

What Tegmark points at is that although we're told that "Big Bang happened everywhere", this doesn't make sense, because how can one part of this "everywhere" know about the other parts of "everywhere"?

One solution, obviously, is pure luck. After all, the regions on the sky are a little bit different. But this is a very unsatisfying solution, known as fine-tuning, which we loathe.

Enter inflation.

If you assume the our Universe was much, much denser in the beginning, but then went through a period of extreme (!) expansion, then in the very first tiny fraction of a fraction of a second, before this epoch which started when the Universe was $\sim10^{-36}$ seconds old, everything was so close to each other that a region much, much larger than the part of the Universe that we can see (the "observable Universe") could exchange information and reach thermodynamical equilibrium.

The reason that many people believe in this scenario, I think, is that it simultaneously solved two other puzzles, known as the flatness problem and the magnetic monopole problem (and that, so far, no better scenario has been proposed).

So, to recap, Tegmark is not saying that Big Bang didn't happen everywhere, but rather that, before Alan Guth proposed the inflation scenario in 1979, but after we first observed the CMB, this didn't make sense.

Answer 2

You seem to be misunderstanding what inflation does. Lets say the entire universe is two stars and those two stars are gravitationally attracted to each other, but space is also expanding between them so the stars move apart from each other. Both stars happened inside the big bang, and as they move apart, the space between them that inflation creates happened inside the big bang as well.

Inflation doesn't happen beyond the big bang, it happens inside where the big bang happened. It could also be said that the big bang is inflation, at least, that's what it is as far back as we can tell what it is.

(I hope my layman's explanation isn't too far off). The Minute Physics Everywhere Stretch video explains it pretty well.