Can you give me any way that can differentiate between my practical machine with memory sized n, and a real infinite Turing machine in a finite amount of time t

Can you give me any way that can differentiate between my practical machine with memory sized n, and a real infinite Turing machine in a finite amount of time t? If not, than for all purposes the two are the exact same, which is my point. This is not the case with LLMs.