Infinity can not be responsible for existence, because it is not separate from existence. We have no commonality and are unable to understand that "before" and "outside" existence is not applicable. The space/time fishbowl of the third dimension allows consciousness to happen, which allows intelligence to help navigate existence. Outside of that, we need humility.
We can't have the ability to imagine time and space being without the other. Imagination itself needs both. Reality is not so limited.
The outrageous criteria demanded by the laws of physics to allow existence to happen are relatively ignored in it's implication. Could science try harder to infer an intentional aspect of existence? Even if it could spell it out somehow, we'd overlook it as coincidence like so many others that offends our hubris and sense of our own level of intelligence.
Unlike humility, hubris does not teach.