The only, sort of, evidence that I can think of right now to suggest the existence of multiple dimensions is gravity.
There are four forces in nature. The strong nuclear force, the weak, electro-magnetism and gravity. The first three are all explained very well but gravity is still a bit of a mystery. The problem with gravity is that it is so weak. You may think that it is strong as you fall down the stairs but you have to remember that you have the entire planet pulling you down.
Consider, on the other hand, how strong electro-magnetism is when you use a simple magnet to pick up a nail. The entire planet cannot compete with the magnetic pull of a little fridge magnet.
One of the suggestions that is widely held to explain the apparent weakness of gravity is that it is able to 'leak' away from our three dimensional universe through other dimensions and therefore what we experience is basically a diluted effect.
As for your first point. Strictly speaking, the universe isn't expanding into anything as it's space itself that is getting bigger and thus, things are getting further apart. It's only the local effect of gravity that stops galaxies and star system from being stretched apart, although, if the current theory for dark energy is anything to go by and the expansion continues to accelerate then not even gravity will be able to resist this expansion and eventually even matter itself will be ripped apart leaving just a cosmic soup. But that's another story
There are four forces in nature. The strong nuclear force, the weak, electro-magnetism and gravity. The first three are all explained very well but gravity is still a bit of a mystery. The problem with gravity is that it is so weak. You may think that it is strong as you fall down the stairs but you have to remember that you have the entire planet pulling you down.
Consider, on the other hand, how strong electro-magnetism is when you use a simple magnet to pick up a nail. The entire planet cannot compete with the magnetic pull of a little fridge magnet.
One of the suggestions that is widely held to explain the apparent weakness of gravity is that it is able to 'leak' away from our three dimensional universe through other dimensions and therefore what we experience is basically a diluted effect.
As for your first point. Strictly speaking, the universe isn't expanding into anything as it's space itself that is getting bigger and thus, things are getting further apart. It's only the local effect of gravity that stops galaxies and star system from being stretched apart, although, if the current theory for dark energy is anything to go by and the expansion continues to accelerate then not even gravity will be able to resist this expansion and eventually even matter itself will be ripped apart leaving just a cosmic soup. But that's another story