If my memory serves me right this has to do with the fact that in order to have particle creation in pairs of particle/anti-particle you need both positive and negative frequency solutions.
The negative frequency ones provide the negative energy particle.
Furthermore, to be able to define +...
It is my understanding that, since the wavelength of HR is comparable to the mass of the black hole itself, the whole idea of "particles" being created breaks down anywhere but at infinity (in the |out> state, with the |in> state on past-infinity being vacuum) - i.e. no particle detector will be...
Thanks Fredrik, I was following Wald's book on GR plus what I could gleam from "The Large Scale Structure of Space Time" on Google books - I think George Jones' reply that you refer to is very clear and helpful - I'm going to wrap my head around this last part in particular (I think it holds a...
Thank you for your response, the article looks very interesting and I'm rolling up my sleeves and digging into it! If I get to some sort of epiphany I'll post a follow up.
Apologies in advance if this has been asked and answered somewhere else, I searched but could not find anything.
I just wanted to verify if my intuitive understanding of why space time (if it is to be physically plausible) can not be compact.
According to Hawking and Ellis (and others)...