What would be the impact if inertial mass is different than gravitational mass? Would it mean that objects with different masses don't fall down equally fast? I would assume they still do. Suppose inertial mass Mi and gravitational mass Mg are not equal but Mi = 1.000000001 Mg. Then
F=Mi * a with F the force, a the acceleration and
F= - Mg * g with g the gravitational constant on earth
This means that
a=1.000000001 * g.
Henceforth, objects with different masses still fall equally fast.
If Mi and Mg are not related by a simple factor, but if Mi=Mg^1.0000001 then
In this case there is a difference. Therefore, my question is: what do people mean by the statement
that inertial mass might be different than gravitational mass. They mean they differ by a factor different than one or their relation is more complicated?