I would like to state that, at this point, I don’t believe in the concept of “infinity”. The idea that anything goes on forever; time or direction wise doesn’t compute with me. That should make it obvious that I don’t believe that the Universe is infinite. I think most modern physicists ascribe to this view also. Unless, of course, one wants to equate “infinite” with “God” and basically other incomprehensible concepts.
Our very definitions of point, line, area, volume, as examples of 0, 1, 2 and 3 dimensional concepts, just don’t exist, even conceptually. Can you perceive of a one sided plane surface? We throw in the idea of infinity as an axiom to be taken as stated, much as the idea of 3 dimensions is taken as axiomatic rather than as the misconstrued standard that it has proven to be. None of these things works consistently, or conceptually.
What we have, at the base line are, location, direction (angle) and vector (the length and direction from one point to another). With these basic, quite intuitive, concepts, we can express the complexities of our Universe in ways unprecedented with our 3 dimensional “Standard Model”.