dcl. The delta t times delta E presupposes you have the sample in hand in order for HUP to apply. With the BH event horizon, you can't reach in there and come back, so Cinderella gets stuck at the ballroom and evaporates, and if you take a piece of restmass, or a photon from this side....well that's already here, not in the BH....so you haven't added anything. Others have taken issue with Hawking radiation, particularly if it appears as particulates, since it presupposes an inherent asymmetry in the infalling of matter/antimatter in order for one to survive out here. This has not been historically my "toot". Pete

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A third rate theory forbids
A second rate theory explains after the fact
A first rate theory predicts...A. Lomonosov