I have not followed this thread much. I get the impression there is a lot of confusion.
The equivalence principle states there is no distinguishing difference between a frame far away in flat spacetime and one in a region of spacetime that is curved so long as the frame is small in extent. In other words, it there is a curvature R and the dimensions of the frame are d then d << √R. This will mean that any test masses in this small frame will be on co-parallel geodesics and the local physics is no different than if you are on a frame in very distant flat spacetime. The converse of this then is that being on an accelerated frame is indistiguishable from being held fixed in a gravitational field. The surface of the Earth does that for us. Then comparing gravity with acceleration this way the implication is that inertial mass is equal to gravitational mass. The previous case indicates a way forwards to general relativity with local frames or patches that are meshed together in a coordinate atlas and transition function that define connection coefficients and curvature. Is there a better way to do this, Yes! this is what I have been working on. Instead of a single small inertial frame consider two frames and in each there is one of each EPR pair, The easy part is to show that the entanglement is constant so long as the two frames are on geodesic motion. This is a sort of extended EP which is potentially useful for quantum gravitation. This is in particular if spacetime is built up from quantum entangled states. Things becomes much more difficult when black hole horizons enter the picture. The standard EP is not that hard to understand, and in weak gravitation the obvious example of this are weightless objects and astronauts in spacecraft and the ISS. In effect this is moving horizontally fast enough to keep missing the Earth and it just keeps falling. This is a visual example of the EP. LC -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/37803a7c-367b-4116-a302-6c1d70a6f1d9o%40googlegroups.com.
