That makes sense, but only if my body was the only thing affected by the centrifugal force. Am I wrong in thinking that less dense objects and substances would be pushed, by the (apparent) centrifugal force, outward further than more dense objects and substances?
Yes, that's wrong. Centrifugal force is based on mass, not density.
It's kind of difficult for me to determine this because it isn't the same as centrifugal force caused by an object tied to a string being swung around.
It is, actually.
Mainly because the further you get from the center of the Earth, the weaker the pull of gravity.
Correct! Which is why:
1) your theory doesn't work
2) why there is such a thing as a Clarke (geosynchronous) orbit
I think objects would only be pushed outward if there were something "beneath" them to push.
Centrifugal force has nothing to do with "push." It has to do with "pull." An object will continue in a straight line if unconstrained. If you do constrain it (i.e. tie a string to it) it will still want to go in a straight line - but the string will apply a force that pulls it away from that straight line.
I also think that, at some point, anything that was being compressed (like gasses and water) will eventually expand to whatever form it would have in a vacuum (what is this called?).
Ideal Gas Law. Yes, without gravity the air around the planet would expand into space. (Indeed, would be thrown into space by the rotation of the Earth.)
Then you've got the centrifugal force of the Earth revolving around the Sun, Galaxy etc. That would push things away from the center of that circular motion. (Another side note: Since centrifugal force is fictitious, how does it travel through an object?
Through tension. Strictly speaking there is no such thing as centrifugal force. What people perceive as centrifugal force is the tension in the "string" that is continually deflecting the object from its desired path.
Since force travels at the speed of sound through a medium, It would take longer than one full rotation of the Earth to propagate through the atmosphere to the center of the planet. Since no point on the surface of the Earth is directly between the center of the planet and the center of the Sun all of the time, I think this force would appear to come in waves.
In actuality if there was no gravity, the crust of the Earth would tend to continue to go in a straight line and go flying off into space, followed by most of the planet. The Earth has very little tensile strength.
An important question: If an object moving in an orbit is as though it is moving inertially in a straight line, why would there be any centrifugal force?
There won't be.
I'll buy that, but I'm also wondering what speed an air molecule would have to be moving in order to orbit the Earth at a distance of, say, 40km from the surface of the Earth with no other atmosphere.
About 17,600 MPH.
I understand this, but the surface of the Earth can't accelerate you away any more than it can accelerate the ground beneath you away.
Right, it provides a normal force only.
If it is accelerating the ground beneath you away with greater force, then why would there not be more force between your body and the surface as the centrifugal force propagates through you?
Centrifugal force does not propagate through you. It merely reduces your weight. This does not come about because anything is pushing on you; this comes about because your body wants to continue in the same direction.