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Come now fellas. This argument seems to be getting a little harsh.
By "agent" he means another body as a source of the force. For
"centrifugal" force there is no such body, unless you want to believe
that the rotation of the stars around the Earth causes the effect.
Why are we making a mountain out of this? The definition: "An inertial
frame is one in which the law of inertia holds" is circular! How do you
know if the law of inertia holds? You have to decide whether a body is
force free. How do you do that? Well if it doesn't accelerate? But then
you are assuming that you are in an inertial frame!
It was clear many decades ago that there is no absolute way to decide
whether you are in an inertial frame.
[portion deleted]
It is from the theoretic point of view arbitrary to decide whether these
"inertial" forces are real or not, but is useful to do so in order to
maintain that there is something definite about the idea of inertial
frames.
SOme of my research colleagues (relativists mostly) still do not
agree on whether one can speak in absolute terms of accelerated frames.
There is a subtle distinction between centrifugal and Coriolis effects
on the one hand and gravitation on the other, . . . . but that's enough
for now.