> pedagogical construct No, it was in his 1975 work [1], which considers a non-interacting quantum field in a Schwarzschild black hole spacetime [2]. The neg

> pedagogical construct No, it was in his 1975 work [1], which considers a non-interacting quantum field in a Schwarzschild black hole spacetime [2]. The negative energy infallers keep the spacetime static, which is handy for preserving a timelike Killing vector field that is orthogonal to the spacelike hypersurfaces at each Schwarzschild time coordinate. That picture made it straightforward to show the mechanism for evaporation; perturbing the picture does not make Hawking radiation vanish, but does make it much harder to calculate. > sake of public promulgation It [1] was a hard academic paper aimed at experts. That should be abundantly clear not far down its first page and certainly by its second. > restriction of the resonant modes of quantum fields imposed by having a border It has to do with vacuum states. > the [bh] shrinks and allows wavelengths of emitted radiation to contract I think you run into controversy (and indeed a bit of inconsistency in your "true picture" argument) with "emitted". There is a secondary issue surrounding gravitational time dilation, depending on where you think Hawking quanta are found. > Heisenberg uncertainty How does that enter into the (non-string) picture except at the latest times when the radius of curvature is on the order of Planck length? I'm genuinely curious to see how you'd use Heisenberg uncertainty except in an argument involving remnants (in which a generalization of HUP could dynamically prevent complete evaporation, with the dynamics becoming important at some small minimum BH mass). Anyway, I strongly recommend Wald [in [2]] to you. - -- [1] https://dx.doi.org/10.1007/BF02345020 https://dx.doi.org/10.1007/BF02345020 [2] It's hard to summarize this better than Wald in the Hawking Radiation section of https://dx.doi.org/10.12942%2Flrr-2001-6 https://dx.doi.org/10.12942%2Flrr-2001-6 notably starting with 'The original derivations [54, 98] made use of notions of "particles propagating into the black hole", ...' and I don't want to plagiarize him.