Falling into a massive black hole is not necessarily noticeable

  • #1
Kekkuli
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I find it interesting that the more massive the black hole, the weaker the fall acceleration at the distance of the Schwarzschild radius - that's why you wouldn't necessarily notice anything special in the event horizon.

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  • #2
And why do you find that in any way strange?
 
  • #3
Kekkuli said:
the fall acceleration at the distance of the Schwarzschild radius
##GM / R^2## is not "the fall acceleration" except in a very technical sense: it is the "redshifted" proper acceleration of an observer "hovering" at ##R##. So, for example, if an observer at infinity were holding up an object at ##R## using a very long rope, ##GM / R^2## is the force per unit mass that the observer at infinity would have to exert on the rope. But the object at ##R## would not experience that acceleration; the object's proper acceleration would be ##GM / (R^2 \sqrt{1 - 2GM / (c^2 R)})##.

(Similar remarks apply to the coordinate acceleration of a free-falling object relative to a hovering observer at ##R##, which I suspect is what you are thinking of as "fall acceleration".)

Also, at the Schwarzschild radius, there are no "hovering" observers; it is impossible to "hover" at the Schwarzschild radius, or for an object to be held there by a very long rope, even for an instant. So even the technical sense of "fall acceleration" above is no longer meaningful at the Schwarzschild radius.

Kekkuli said:
that's why you wouldn't necessarily notice anything special in the event horizon
No, it isn't. You wouldn't notice anything special falling through the horizon because spacetime is locally Lorentzian there just like it is everywhere else. It has nothing to do with "fall acceleration".
 
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  • #4
I would argue that acceleration is much less relevant than tidal forces. And big BH's have small tides.
 
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  • #5
Kekkuli said:
I find it interesting that the more massive the black hole, the weaker the fall acceleration at the distance of the Schwarzschild radius - that's why you wouldn't necessarily notice anything special in the event horizon.
Saying "notice" you seem to think of tidal force or spaghettification. Yes, the larger the black hole the less you feel it, as already said in #4. The reason is tidal force goes with 1/M².
 

1. Why wouldn't you notice falling into a massive black hole?

When falling into a massive black hole, the gravitational pull is relatively uniform across your body due to the large size of the black hole. This uniformity means that the tidal forces, which can stretch and squeeze objects in smaller black holes, are much weaker. Therefore, you might not feel extreme effects as you cross the event horizon, the boundary around the black hole.

2. What is spaghettification, and why might it not occur in a massive black hole?

Spaghettification is a process where objects are stretched into long, thin shapes by strong tidal forces as they approach a black hole. In massive black holes, these tidal forces are significantly weaker at the event horizon due to the larger radius and more gradual curvature of space-time. As a result, spaghettification might only occur much closer to the singularity, if at all, making it unnoticeable as you initially cross the event horizon.

3. At what point might you realize you've entered a black hole?

You might not realize you've entered a black hole until you are well within the event horizon, especially if the black hole is supermassive. The initial crossing of the event horizon in such cases can be uneventful, and without any visual or physical cues, you may not notice any change. The realization might only come as you observe the distortion of light from the outside universe or potentially from increasing tidal forces as you approach the singularity.

4. Can you escape from a black hole once you've crossed the event horizon?

No, once you've crossed the event horizon of a black hole, escape is not possible. The event horizon marks the boundary within which the escape velocity exceeds the speed of light. Since nothing can travel faster than light, not even light itself can escape from inside this boundary, making escape impossible for any object or information.

5. What would happen to you as you approach the singularity of a massive black hole?

As you approach the singularity of a massive black hole, the tidal forces would increase dramatically. Eventually, these forces would become strong enough to cause spaghettification, where you would be stretched and compressed into an extremely thin strand of matter. The exact nature of the singularity and what happens at that point remains a topic of theoretical speculation and is beyond our current understanding of physics.

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