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To explain this further, let’s consider a simple mass-spring accelerometer attached radially on a spinning wheel. The mass is deflected...

It isn't experiencing "centrifugal force". It's experiencing internal forces between its parts because they push on each other. Those...

No. The local centrifugal force does not have a cause. It is not a physical thing subject to cause and effect. It is purely math. It can...

In the context of GR, the following invariant physical definition of unaccelerated is taken: a body is unaccelerated (zero proper...

Depends on what you mean by "absolute motion". You can detect rotation (and acceleration in general) with a "closed box" experiment. A...

Sorry, I'm not that skilled in this area. What I can say is to take a look at Lee - ISM chapter 10 Ex. 10.37. As far as I can tell, in...

By definition ##\mathbb R^2## as set is ##\mathbb R^1 \times \mathbb R^1##. Furthermore as topological space it carries the product...

Sorry, I can't understand. If I give you explicitly ##A \times B##, I'm giving you a product that can be treated as a (product) fiber...

Maybe I can't explain my point. If I give you explicitly ##A \times B## this naturally includes the projections on the factors. It is...

So I believe what I call trivial fiber bundle is what for instance Lee - Introduction to smooth manifolds calls product fiber bundle ##A...

Sure. Locally the two circles are one dimensional. When they approach closely enough they look like lines. Suppose one line W is [w...

Yes. Nevertheless do you agree that a product has got two canonical/natural projections ? A globally trivializable fiber bundle has only...

Yes however, even if diffeomorphic to a product, there is no canonical/natural diffeomorphism. That's the difference with a product that...

Ok so according to you, from a mathematical viewpoint, there is no difference between a trivial vs. (globally) trivializable fiber...

They are not homeomorphic. The three dimensional space deforms continuously onto a 2 dimensional torus. The idea of continuous...