The locality is all equally continuous in all these cases. Someone near the black-hole horizon will see nothing unusual, and will not experience a horizon unle

The locality is all equally continuous in all these cases. Someone near the black-hole horizon will see nothing unusual, and will not experience a horizon unless they are accelerating like mad to stay there. But someone doing that in flat space will see a horizon too -- see the Rindler coördinatization[1] of Minkowski space. It even has an analogous Rindler horizon, which seems to emit particles from the Unruh Effect[2]. I say seems to because particle number isn't invariant under acceleration. An outside observer will see a particle detector go off, but will interpret the accelerated detector as causing the particles, rather than the horizon. [1] https://en.wikipedia.org/wiki/Rindler_coordinates https://en.wikipedia.org/wiki/Rindler_coordinates [2] https://en.wikipedia.org/wiki/Unruh_effect https://en.wikipedia.org/wiki/Unruh_effect