Sometimes people fail at asking a question by being too broad, unclear like here. So I'll take a stab at what I believe to be the same question, but more concise and clearly stated:
Does infinity exist in either terms ofthe structure, parameters, or measurement in any of physical systems?
To be clear I'm referring to, systems in the real world, NOT models of systems.
Can the mathematical concept of infinity have any real connection with reality?
Or is infinity purely a mathematical concept just used by physicists as a convenient way to describe the very large, an approximation?
I have heard that if you model a physical system (recently Brian Greene posted a video on YouTube regarding infinity), and you run into infinity as a solution, then you have either made an error in your calculations or your model is wrong.