This is for you and
@paarsurrey, hopefully this will help you both understand how space itself is expanding.
It is space itself that expanding.
In old post, I used the balloon analogy to illustrate how space expand in 2-dimension - 2-dimension because it would be easier to explain.
Imagine the universe, the entire universe - is on this ballon surface area, and that you only focus on the surface. Don’t focus on what inside and outside the balloon, because you will be missing the points about the “expansion of space”.
The deflated balloon (focus only on the surface) is the original state of the universe at the beginning.
Note: Now normally in the Big Bang theory, ordinary particles and matters, stars, planets and galaxies would exist yet, but we will draw some dots to represent the future galaxies. To help you understand space expanding in 2-dimension, we put these dots in now.
As we blow air into the balloon (focusing only on what you see on the balloon, including the space between the dots), the size of balloon will expand, that will show not only dots increasing in size on the surface, but also the “space” between all the dots on the surface of the balloon. The more you inflate the balloon, the surface area on the balloon will keep expanding, just as space itself will expand in the universe. Those dots will also appear to move away from one another.
Does that make sense?
The balloon analogy is suppose to illustrate space expanding in 2D.
But of course, Universe is not in 2-dimension, so expansion of spacetime occur in 4-dimension (3D space + time). But that’s harder to explain and would involve far more complications with inclusions of some complex equations.
The main equations come from Einstein’s field equations, and the FLRW metric (Friedmann-Lemaître-Robertson-Walker metric).