As a thought experiment, say, for the sake of simplicity, we have a meson. This meson, which is traveling near light speed, is traveling towards a black hole. And skirts the event horizon in such a way where the anti-quark ends up inside it's event horizon, but the quark does not. What would happen? Would this create a free quark? That seems like the only logical thing to happen, but I know that would also break color confinement.
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$\begingroup$ why should the other quark escape, both will fall in. $\endgroup$– YukterezCommented Jul 4, 2023 at 22:40
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$\begingroup$ @Yukterez, the meson approaches the black hole in such a way where the anti-quark falls into the event horizon, while the quark just barely grazes the event horizon without falling it. The quark has enough velocity to escape the black hole. $\endgroup$– Colonizor48Commented Jul 4, 2023 at 22:42
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1$\begingroup$ it can't have enough velocity to escape if it grazes the black hole below the photon sphere at r=1.5rs, let alone close to the horizon at r≈1.0rs. $\endgroup$– YukterezCommented Jul 4, 2023 at 22:44
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$\begingroup$ @Yukterez, The meson is not orbiting the black hole. It is on a hyperbolic trajectory. The photon sphere is the radius where a stable orbit can occur to my knowledge. The meson is not orbiting the black hole. $\endgroup$– Colonizor48Commented Jul 4, 2023 at 22:48
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1$\begingroup$ It is the radius at which the transversal velocity needs to be the higher than speed of light in order to escape, just like the horizon is the radius where the outward radial velocity needs to be higher than the speed of light. If you graze the black hole your closest approach to it is in transversal motion. If one quark is slightly below and the other slightly above they will stay together since the tidal forces are relatively small at the photon sphere (and mostly even at the horizon, extreme spaghettification only happens close to the singularity where both can't escape anyway). $\endgroup$– YukterezCommented Jul 4, 2023 at 22:56
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I think they will stay togheter and both fall. Admitting that they crack apart, which i still doubt, the flux tube between them will gaun energy due to their spreading so when it snaps you get a full hadron inside and a full one outside
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1$\begingroup$ Wouldn't that be extracting work from a gravitational field? $\endgroup$ Commented Jul 4, 2023 at 23:06
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$\begingroup$ Oh no, the black hole does work on the hadron which extract his energy out of the gluon field $\endgroup$ Commented Jul 4, 2023 at 23:08
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$\begingroup$ The binding tube gain such a energy that i create a new pair of quarks $\endgroup$ Commented Jul 4, 2023 at 23:08
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$\begingroup$ It wouldn't extract work out of the gravitational field any more than a body breaking apart due to tidal forces would. $\endgroup$– YukterezCommented Jul 4, 2023 at 23:12
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$\begingroup$ This answer is incorrect and is based on a misunderstanding of the geometry of a curved spacetime. See my comment above under the question. $\endgroup$ Commented Jul 5, 2023 at 7:34