Your engineering physics coursework may be similar between the two, but your college experience will likely not be the same . Where you might choose depends on your budget and how you want to experience college. IMO. My own D1 turned down a free ride to go to school elsewhere. She preferred it, and we could afford it. YMMV.
Engineering Physics is an elite major at Cornell. IIRC, there are non-trivial standards to enter the major (you should check these yourself). Graduates of the program that I knew when I attended were outstanding, and did well afterwards.
Cornell is a campus based university located in a college town in the Northeast, with a diversity of colleges, majors and students, studying in diverse fields. Excellences there span well beyond engineering. The largest undergraduate college there is the Arts & Sciences college, not the engineering college. You will be thrown in socially with all sorts of people, not mostly engineers. It has a balanced Male-Female ratio. You can study a wide range of subjects and courses, at high levels.
Everywhere I’ve lived, there has been an active Cornell alumni group. I have attended many interesting lectures, etc. through them.
Georgia Tech is an excellent engineering school, located in a city the South. With other programs and students as well. Sixty percent of its students are from the state of Georgia. (Whereas 25% of Cornell students are from New York). There are those who like that situation better. Engineering physics notwithstanding. And others, who wouldn’t even apply there, economics be darned . And vica versa.