Alright Marlon, maybe it's linguistics that are standing in the way here's what the longman good old dictionary says(if my concept is wrong u cna blame the dictionary for it):"invent:USAGE One discoveres something that existed before but was not known,such as place .One invents something that didn't exist before, such as a machine."
So for me inventing is about something that is there for the 1st time, there was no telephones, airplanes, trains, or kitchen machines all over on earth, until someone invented these stuff, based on what?? Based on either a simple observation, or a theory(if it's a mere invention, if it explains something that does not exist than it cannot be valid), or a valid fact explained or experimented by a physicist...Physicist need to be creative and have wild imagination to make models, methods, theories...
Maybe i am mistaken and i don't understand u, cause i do not have the same definitions as u...But this is what i think.And instead of writing invented in caps u could simply tell me how u define that...
I understand u mean by inventing, that the models the theories, weren't written all over stuff, i know..But i believe that mathematics are there, as u said mathematics is the language u express physics, but i also believe that mathematics is existent before we can put definitions for it, it's all over, and it makes u use it and think of it. I donno how to say that in a more understandable way, but i think that sciences in general pushes us to discover more, it's something beyond our control..
In a way an engineer could be a physicist and vice versa...But still engineers need to be practical, and if they r not, they should look for another job...Physicists do not have to think about money, and there shouldn't be money problems for them, u hire an engineer to save u money...