On Sunday, July 12, 2020 at 4:37:15 PM UTC-6, Lawrence Crowell wrote: > > 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. > > What you write above is not substantially different from my description of the EP. AG
> 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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/049736b2-fbbf-4078-982c-1e7f36452186o%40googlegroups.com.
