I think you are wrong about the warping of time and space... or spacetime.

Mass and gravity does have an effect. I also don't think you are correct about time.

Time is a thing. It is not a tangible thing like matter, but it can be affected by the physical universe.

It may also be possible to travel through time. Not into the past, but only into the future.

Magnetism most probably holds the key somewhere. The relationship between it and time dilation could make forward movement in time possible. Of course the velocity factor would have to be overcome somehow.

The universe is also expanding. You forgot to ask, what is it expanding into?

The Big Bang most likely created two universes. Our physical universe containing matter and another... either identical or parallel universe containing the anti-matter or anti-particles of the energy that existed to create the Big Bang.

The relationship between the matter and anti-matter universes upon each other could explain much of the phenomena of our universe. That relationship would most likely be magnetic in nature because all electrons are themselves tiny magnets. The same would also be true in the anti-matter universe, but only in reverse or the opposite.

Both universes could occupy the same space, but in different dimensional planes.