It’s an interesting question, but a bit vague. Even at room temperature, relatively needs to be considered for the motion of electrons.
You’re probably thinking about bigger stuff though. The short answer is that temperature is unbounded so yes, there is a temp at which it is significant for the motion of all particles. I think inside of stars this can happen, but my knowledge jn that area is pretty limited.
Veritassium has a recent video about some of this that you may find interesting if you haven’t already seen it.
Temperature is a measure of kinetic energy at the molecular/atomic level. That said, the gasses falling into a black hole would likely reach such hypothetical temperatures as they near the event horizon.
Gravity at the event horizon is inversely related to the mass of the black hole. So for a supermassive black hole, gravity at the event horizon can be weak. But you still can’t escape because it’s too large.
Imagine light trying to escape the Earth’s gravity. Its path is slightly deviated by the Earth, then it gets far enough away that the Earth has little further effect.
Now suppose at that distance, it still experienced the same gravity. So the trajectory of light is deviated a little more. It keeps moving farther away but gravity barely changes, even at huge distances. Eventually all those little deviations add up and it’s going back where it came from. Light can’t escape. It’s a black hole.
It’s an interesting question, but a bit vague. Even at room temperature, relatively needs to be considered for the motion of electrons.
You’re probably thinking about bigger stuff though. The short answer is that temperature is unbounded so yes, there is a temp at which it is significant for the motion of all particles. I think inside of stars this can happen, but my knowledge jn that area is pretty limited.
Veritassium has a recent video about some of this that you may find interesting if you haven’t already seen it.
Temperature is a measure of kinetic energy at the molecular/atomic level. That said, the gasses falling into a black hole would likely reach such hypothetical temperatures as they near the event horizon.
Not necessarily. In fact, it’s possible for gravity at the event horizon to be less than Earth’s gravity.
How?
Gravity at the event horizon is inversely related to the mass of the black hole. So for a supermassive black hole, gravity at the event horizon can be weak. But you still can’t escape because it’s too large.
Imagine light trying to escape the Earth’s gravity. Its path is slightly deviated by the Earth, then it gets far enough away that the Earth has little further effect.
Now suppose at that distance, it still experienced the same gravity. So the trajectory of light is deviated a little more. It keeps moving farther away but gravity barely changes, even at huge distances. Eventually all those little deviations add up and it’s going back where it came from. Light can’t escape. It’s a black hole.