The point of this demo, by the way, was to hopefully simulate a "wormhole," and it seems to work as expected. My hunch was, if a black hole "dissolves" entirely in any finite time, (such as due to Hawking radiation,) then an in-falling observer that passes the event horizon will always see the hole "dissolve" to the point where the observer is again on the other side of the event horizon, before reaching the singularity limit point, (assuming no mortal considerations due to tidal forces, high energy particles, etc.). The argument seemed to follow from Hawking radiation and two common assertions about world lines in general relativity:
World lines do not terminate at any arbitrary finite time in the past or future, (though consider the proposed Hartle-Hawking state).
World lines are "incompressible," (such that "first-in" should be "first-out," in-falling radially).
(I honestly had a specific hypothetical type of radiation from the black hole in mind, which I tried develop a theory of a few years ago, but the radiation due to Hawking should suffice, as well. That work of mine was not published.)
Currently, the demo has some obvious inconsistencies. For one thing, objects besides the player do not see the black hole radius change as delayed by the speed of light, though the de facto player perspective on its own might be equivalent by time-translation invariance. For another, the event horizon lacks realistic characteristics. I placed a visual sphere so I could track the coordinate singularity by my eye more easily, but I think the predominating opinion is that nothing obvious or special happens from a first-person perspective upon crossing the event horizon. (The space-time points where the visual sphere is crossed by the player might very roughly represent something another observer could see at a distance tending toward infinity.)
To be clear, this work has not been formally evaluated or reviewed, and I can't warranty it for anything. (You might use it for a relativity-inspired video game "wormhole," though.)
The point of this demo, by the way, was to hopefully simulate a "wormhole," and it seems to work as expected. My hunch was, if a black hole "dissolves" entirely in any finite time, (such as due to Hawking radiation,) then an in-falling observer that passes the event horizon will always see the hole "dissolve" to the point where the observer is again on the other side of the event horizon, before reaching the singularity limit point, (assuming no mortal considerations due to tidal forces, high energy particles, etc.). The argument seemed to follow from Hawking radiation and two common assertions about world lines in general relativity:
(I honestly had a specific hypothetical type of radiation from the black hole in mind, which I tried develop a theory of a few years ago, but the radiation due to Hawking should suffice, as well. That work of mine was not published.)
Currently, the demo has some obvious inconsistencies. For one thing, objects besides the player do not see the black hole radius change as delayed by the speed of light, though the de facto player perspective on its own might be equivalent by time-translation invariance. For another, the event horizon lacks realistic characteristics. I placed a visual sphere so I could track the coordinate singularity by my eye more easily, but I think the predominating opinion is that nothing obvious or special happens from a first-person perspective upon crossing the event horizon. (The space-time points where the visual sphere is crossed by the player might very roughly represent something another observer could see at a distance tending toward infinity.)
To be clear, this work has not been formally evaluated or reviewed, and I can't warranty it for anything. (You might use it for a relativity-inspired video game "wormhole," though.)