Why does everything fall at the same rate?

Everything falls at the same rate because, in OPH's account, the mass that resists a push and the mass gravity acts on are one entry read twice. Mass here is a standing cost, the repair work a pattern demands at every event to stay in one piece, where repair is the step in which neighboring observers settle a disagreement. That cost sets how hard the pattern is to redirect, and gravity's field equation takes the same cost as its source. Set mass times acceleration equal to gravity's pull and the mass divides out, leaving nothing about the object. Textbooks add this as a separate rule, the equivalence principle. OPH has still to show on its executed observers that this cost is measured rest mass and gravity's source. The MICROSCOPE satellite found titanium and platinum falling alike to one part in a thousand million million, which the account must reproduce. In 1971 David Scott dropped a hammer and a falcon feather on the Moon, and they landed together.

Also in Chapter 25: Why Does Gravity Look Like Geometry?.