Ning Wang
You write:
<<For example, their observations of the universe may have led them to a different understanding of the nature of time or space than we currently have. Similarly, their mathematics may also differ from ours, as mathematical concepts can be developed independently of physical observations.>>
The famous theoretical physicist Carlo Rovelli in the article "Physics Needs Philosophy / Philosophy Needs Physics" lists the questions and topics that are discussed today by theoretical physicists and the first of them "What is space?" and "What is time?"
Does this mean that we still do not understand the "nature of time and space"? And why should "aliens" understand the nature of space and time differently than the Earthlings?
Next you write:
<<Overall, while it is difficult to predict exactly how similar or different the physics and mathematics of technologically advanced aliens would be, it is likely that there would be some similarities based on the fundamental laws of physics and the universality of mathematics. However, there could also be significant differences based on their observations and perspectives on the physical universe.>>
Obviously, such a conclusion can be made when the problem of "with a beard" is solved - the ontological justification of mathematics (ontological basification), and hence knowledge in general. There is only one Universe for us.