Has the universe always had a finite size?
Infinity conceptually, is nonsensical and indeed mathematicians refer to more than one "type" of infinity.
I am interested in whether the universe is bounded or unbounded. And whether there is only one universe.
An oscillating universe which is fluctuating in size would also produce observations which reveal that it is expanding (or contracting depending on what part of the cycle we are experiencing). We then extrapolate this expansion measurement back to time zero and assume there was a Big Bang.
We tend to like explosions.
Then we have the issue of the number of dimensions. It's difficult to conceptualise extra spatial dimensions past the 3 standard dimensions we are used to. (Plus time).
I have a gut feeling that not all is what it appears to be in the world of cosmology which is an ancient intellectual pursuit encompassing religions, philosophy, theology and science/mathematics.
String theory is a very good case in point of a theory which is still a mathematical philosophy, rather than a scientific concept. Scientific theories require observations, measurements, evidence to support (or refute) them.