I had a chance to visit as an audience to an international conference in computer science. As usual, there were few keynotes before the scheduled paper presentation is carried out for the day.
During the presentation of one keynote speech, where the speaker (quite renowned in the field) made a very strong argument that the equation/method that he is using will solve a lot of problems. However, I could point that there was a mistake in the method (rather the equation) itself. The method did not obey the basic laws to solve any possible problems.
The discussion with the Professor continued for a while and he never agreed to what I was saying and I also never accepted those not-so-possible facts. This whole thing converted into an argument.
I understand that it happens during such process because of adrenaline rush. Now, after few days of wondering about it, I am thinking that I made a mistake. I am feeling bad. Could it hamper my future/present career prospectives? I am presently in my PhD research. I want to mail to the professor and say sorry for the incident. Not sure.