Bounded or Unbounded? The mystery of existence, the unbounded Universe and the endless evolution of Life

Is the universe bounded or unbounded? Will the exponential technological progress continue forever?

Context

This is based on a discussion that I had with RV sometime back. I was of the opinion that ‘life’ will make its way forward one way or the other outside earth into different planets. His take was that there may be some bounds beyond which things cannot go. There are limits like the speed of light, the gravitational constant, Planck’s constant, etc…