I have stated that Newton's mechanics and his theory of gravitation are
but approximations to reality and whose limitations are now
known
. So it
might be questionable to use F = ma and
Fgrav = m M G/r2
as basis to any argument as was done above. Einstein was careful to use
these expressions only in situations where they are
extremely accurate (small speeds compared to c and small gravitational
forces). In these cases the inertial and gravitational masses are
identical, as shown by experiment. Then he postulated that the
same would be true under all circumstances. This statement, while
consistent with Newton's equations, cannot, in a strict logical sense,
be derived from them.