During my research I came across an obscure mathematical physics problem whose established answer was wrong. I attempted to solve this unsolved problem, and eventually found out that I was the one who was wrong.
As part of my paper on falling through the centre of the Earth, I studied something called the brachistochrone curve....
Solving a Non-Existent Unsolved Problem: The Critical Brachistochrone
I think you were the person using the username account to post in this style. Thank you for making an account and welcome :)