The gravity you exert upon the Earth is incredibly miniscule compared to the gravity the Earth exerts upon you, so the Earth draws you to it.
Lighter objects don't fall faster because gravity doesn't operate as a competition between the two gravitational bodies; gravity works on the principle of center of gravity, which means that in reality the pull gets averaged somewhere in between, and often in empty space. That isn't the case with the Earth and a human body: the center of gravity in that system is much closer to the center of the Earth than it is to you, so you feel it as a pull, stopped by the ground beneath your feet.
From your link:
Such a minor discrepancy would not be perceptible to even the finest-tuned measuring instrument.
Lighter objects don't fall faster because gravity doesn't operate as a competition between the two gravitational bodies; gravity works on the principle of center of gravity, which means that in reality the pull gets averaged somewhere in between, and often in empty space. That isn't the case with the Earth and a human body: the center of gravity in that system is much closer to the center of the Earth than it is to you, so you feel it as a pull, stopped by the ground beneath your feet.
From your link:
Quote:The accepted answer says that the difference in the times between two objects could be on the order of 1 part in a trillion trillion. So there won't be much to measure, and according to human perception & instrumentation we would always call it "simultaneous." Dropping the items together would take even less time.
Such a minor discrepancy would not be perceptible to even the finest-tuned measuring instrument.
