Science proceeds not so much with the infamous scientific method or even Popper’s falsification approach, it proceeds according to set of principles, I can identify three: (1) philosophical (2) abstraction, and (3) mathematical formulation.
The philosophical principal with which science proceeds is derived from Logical Positivism. In summary, science:
(a) rejects the idea that reality has some purpose,
(b) rejects attempts to explain natural phenomena by an essence or a secret cause of things,
© rejects as meaningless any explanation not verifiable through the senses,
(d) advocates the study of constant relationships without delving into the underlying causes.
Regarding a finite universe. The big bang theory is the only explanation that fits philosophical principal © the theory begins with an indefinitely minute object called the singularity that existed in an unknown background and from which all matter, energy, space, and time emerged, and was at one point in time the size of a pumpkin, and expanded to the present finite size whatever that might be. There is no way the universe can expand to an infinite size.
All other explanations for the present cosmological observations are speculations designed to avoid the obvious creation event that the BB implies. Bubble universe, string theory, the big crunch, and a pumpkin size universe in something else are pure speculation, unless of course the something else is the Mind of God.
For Catholics that might not subscribe to a finite universe, God is infinite and if the universe is also infinite, you are playing with pantheism, still a heresy.