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If your ship just got trapped inside the event horizon of an super massive black hole, could the ship "accelerate" back out with an alcubierre drive?

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    $\begingroup$ My immediate thoughts are both yes and no. Of course, FTL travel would allow the ship to move through the event horizon and get out, BUT, how long would it take for the ship to accelerate to that speed? Would it crash into the mass inside the hole before ever being able to get up to speed? Due to the theoretical nature of Alcubierre drives (and the argument on whether they're actually possible), we don't know how powerful one would be $\endgroup$ – Aric Jul 18 at 7:54
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    $\begingroup$ The event horizon is the place where the direction towards the black hole becomes timelike. Below the event horizon the future points towards the black hole, and the escape is in the past. To escape one would need to travel backwards in time. An Alcubierre drive would help in the same way as any time machine. $\endgroup$ – AlexP Jul 18 at 8:13
  • $\begingroup$ This might be worth asking on Physics SE (not entirely sure the community will like this question, but you can try). It's an interesting concept. $\endgroup$ – StephenG Jul 18 at 9:35
  • $\begingroup$ My gut instinct says yes, but it may involve a naked singularity, and physics Does Not Like naked singularities. $\endgroup$ – Joe Bloggs Jul 18 at 9:36
  • $\begingroup$ @Aric the alcubierre drive does not push the vehicle faster than light. In fact the vehicle could be standing still in its reference frame and still be moving compared to the outside world. If you have a working drive I think you would be "up to speed" almost instantly. $\endgroup$ – Demigan Jul 18 at 12:31
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Possibly, though you’d be escaping by moving the exit, potentially with hideously unintended side effects.

Basically below the event horizon of a black hole spacetime is warped such that nothing you do can alter anything above the black hole. Naturally this includes physical escape.

Alcubierre drives, on the other hand, work by warping spacetime such that you go from A to B without ever locally breaching the speed of light.

If you mix the two (and I have no maths to back me up here because nobody wants me to even think the phrase Alcubierre-Schwarzchild metric) it does weird things to time around the black hole, and may well require more energy than is present in the universe.

You’ll need some hefty hand waving to explain how your alcubierre drive functions in the first place; and if your ship has already fallen past the event horizon they you must somehow have A: explained away the tidal forces that should have torn your ship apart and B:have already dealt with the fact that from your ship’s point of view the heat death of the universe has already occurred by the time they reach the event horizon.

Wait. Back up. What?

Oh, yeah. As you approach the event horizon of a black hole time dilates. That’s why it’s impossible to escape: spacetime just wont let you, To an outside observer your ship will never breach the event horizon, instead it will become a smeared out, permanently frozen image of itself. From your point of view the universe will move faster and faster as you approach the black hole. Usually you’d be torn into incandescent plasma long before you got anywhere near close enough to see the universe end, but hey, handwaves.

So: now you’re not escaping from below the event horizon, but rather from just above it. This makes things easier, because an Alcubierre Drive (simply) expands space behind you and compresses it in front of you. Turning it on just above a black hole will ‘push’ the event horizon closer to the singularity below it, letting you get far enough ‘away’ to achieve escape velocity. Hooray!

Again: there’s some handwave here. Alcubierre drives (at least using the Alcubierre-White warp equations) act as more of a speed multiplier than a drive on their own, so you’ll need to deal with how you get enough energy to escape. Also: if you’re ‘in’ the black hole the amount of energy you’ll need to warp your way free will grow as you get closer to the black hole (sensibly, as you’ll be spending longer trying to escape).

Now for the unintended side effects.

Mathematically speaking if a black hole is spinning fast enough or has enough electric charge then it has no event horizon. This means you can see and interact with the singularity at the core of the black hole: a so-called ‘Naked Singularity’. Physicists and mathematicians don’t agree about what such a thing would look like because while it’s mathematically possible the one thing nature abhors more than a vacuum is a singularity. Our models of physics break down. Our models of mathematics break down. In many ways the feared ‘event horizon’ is a shield between us and pure unfettered ‘What?’. Nobody likes a naked singularity.

Again: I haven’t done the maths here because it’s fearsome, but if you ram enough power into your Alcubierre drive I can’t think of a reason why you would t be able to push the event horizon all the way back to the singularity - at which point my brain breaks. You also run hard into the 'Cosmic Censorship Hypothesis', which holds that naked singularities simply aren't allowed. You would be fighting the entire universe if you tried to create one.

So: you may well be able to escape the clutches of a black hole with your drive, as long as you have enough power. Just take care not to break physics.

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    $\begingroup$ if the BH is large enough, tidal forces should be manageable. $\endgroup$ – ths Jul 18 at 11:09
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    $\begingroup$ @ths: I thought the tidal stresses increased asymptotically as you approached the event horizon along with the time dilation effects. If that’s the case then the tidal stresses may appear manageable from the outside but to the people on the ship they’re still a big issue (if they’re close enough to the event horizon for it to matter) $\endgroup$ – Joe Bloggs Jul 18 at 11:24
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    $\begingroup$ If the black hole is big enough, you won't be spaghettified until well under the event horizon. Not that it helps you in any way though. And it also assumes you don't splatter against the event horizon like some branches of string theory say you will. $\endgroup$ – John Dvorak Jul 18 at 14:58
  • $\begingroup$ @JohnDvorak: Fair enough! $\endgroup$ – Joe Bloggs Jul 18 at 15:12
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Well, seeing how the event horizon is the area from where the escape velocity is equal to the speed of light; an alcubierre drive would indeed allow one to escape, by accelerating beyond escape velocity.

The problem is that deeper into the hole, the velocity required increases quickly, and the increased mass in the gravity well makes 'warping' it take more energy, so all an alcubierre drive would do is pushing the effective event horizon back.

J.J abrams got this right in his 'star trek' reboot; the enterprise wound up in a black hole, and even with their FTL, they could only prevent falling deeper. (star trek uses a style of FTL that works just like the alcubierre. in fact: it is the inspiration for the design)

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    $\begingroup$ An event horizon is not defined in this way and the concept of escape velocity has no real use in this context. An event horizon is defined by a region where events on either side cannot affect things on the other side. This is entirely down to the distortion of spacetime - forget the concept of escape velocity here. Note that the pseudo-physics of the movie you mention are not "right" - they are entirely fictional. Got o the YouTube channel "PBS Space time" for real information on such things. $\endgroup$ – StephenG Jul 18 at 9:31

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