SR textbooks discussing accelerated reference frames without delving into GR

[PeterDonis]

In calculus. the path integral of a vector field with non-zero curl along different paths between two points will get different results. it just means that the movement of a scalar field is path dependent.

No, it doesn't. You switched from vector to scalar. They're not the same thing.

A vector only contains more components than a scalar.

A vector has a curl. A scalar doesn't.

So we can define a path dependent movement in a flat spacetime.

You can define a path and vector field dependent "movement" in flat spacetime, sure. For example, in electrodynamics.

What you can't do is use this to infer anything about the spacetime curvature or the path dependence of parallel transport that depends on spacetime curvature. Which means that your posts are irrelevant to this thread and are hijacking it.

 

[PeterDonis]

Thread closed for moderation.