Infinity is a powerful rational idea used to describe patterns, limits, and unending processes, but it is not something we directly observe as a completed physical object.
Speculation is step one. Calibration against reality is step two. Multiplication is scaling, not guaranteed growth, but intuition is indeed the first step toward new ideas.
Math reveals patterns in reality, but also the boundaries of reason. Reality may be deeper than current math. But we should not pretend an invalid operation is meaningful before it earns that status.