Dear Physics Stack Exchange,
I've been rather troubled as of late on trying to see the problems or issues inherent in crank scientist or layman views on physics topics about special relativity. One of those that I have come across is a disagreement about the interpretation that particle accelerators give proof that relativistic mass (relativistic momentum) exists and thusly supports special relativity. Some have claimed that you could get the same results of particles going close to a certain speed but no faster given the speed of the interacting field is finite. So when an electron goes faster it begins to lessen the interaction or exchange of momentum or something similar between the electron and thusly the field or particles that are influencing its motion because its going closer to the speed of the interacting field. I've seen this time and time again as a response so I would love/prefer a mathematical response. I'm a college freshman now in multivariable calculus so present with discretion. Thank you for your time or effort in what ever manner possible.
Sincerely, a freshman college student.
Edit: I know that relativistic mass is a contentious subject and really I'm talking about relativistic momentum. I already know that the rest mass in special relativity is an invariant and is technically the real mass but that is not what's of contention.