Can the force of gravity overcome the Planck force?

In summary, the question of whether the force of gravity can overcome the Planck force involves understanding the relationship between gravitational strength and fundamental physical constants. The Planck force is a theoretical maximum force derived from the Planck scale, which is a set of natural units. While gravity is a relatively weak force at macroscopic scales, it becomes significant in extreme conditions, such as near black holes. However, the Planck force serves as a boundary where traditional physics may break down, suggesting that gravity, while powerful, does not surpass the limits set by the Planck scale in any practical scenario.
  • #1
mister i
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TL;DR Summary
Can the force of gravity overcome the Planck force?
Can the force of gravity overcome the Planck force?
I remember that a long time ago I read that in the universe the Planck force was the maximum force that could be reached. But when Sagittarius A and the black hole at the center of the Andomeda galaxy approach, I have made the calculation that their gravitational attraction force will exceed that of Planck when they are approximately 100 million km away from each other. (Regardless of this, it is curious that if we put the constants of the GR equation on the other side we obtain precisely the Planck force, I don't know if this can make any sense)
 
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  • #2
mister i said:
I read
Where? Please give a reference.

mister i said:
the Planck force was the maximum force that could be reached
Any such claim is speculative given our best current theories of physics, which contain no such limit.
 
  • #3
mister i said:
their gravitational attraction force
"Gravitational attraction" is not a force in GR. So even if "Planck force" is a valid concept (see my previous post), the comparison you are making would not be valid.
 
  • #4
Planck quantities are not always the limit of our understanding of something. For example, Planck's mass is 21 micrograms, approximately the mass of a single eyelash.
 
  • #5
PeterDonis said:
Please give a reference.
It doesn't really matter. If it says that, it's nonsense. Planck units are not the limit of anything. The Planck resistance is 30 ohms.

mister i said:
I have made the calculation that their gravitational attraction force will exceed that of Planck when they are approximately 100 million km away from each other.
Incorrectly, I am afraid.

M31's SMBH has a radius of ~500M km. So how does it get closer than that to another object?

This will happen for BH's of any size.
 
  • #6
Vanadium 50 said:
It doesn't really matter.
Not as far as the "Planck force" claim is concerned, no.

But it does matter as far as the OP understanding the PF rules about references, which is why I posted the question. "I read somewhere" is not a valid reference, even if we can tell that whatever was "read somewhere" must have been wrong.
 
  • #7
I completely agree/ "I read somewhere" is not an acceptable source. The fact that what he says he read is absolute nonsense does not help.
 
  • #9
Your first reference is behind a paywall.

The second reference says "It is clear that a maximal acceleration or maximal temperature can come out of neither classical general relativity nor classical string theory." The paper proposes the exact opposite of what you are proposing, and further, it says the answer is (classically) "no" to the idea of a maximum force.

Why cite a paper that underlines your own case?
 
  • #10
Vanadium 50 said:
Your first reference is behind a paywall.

The second reference says "It is clear that a maximal acceleration or maximal temperature can come out of neither classical general relativity nor classical string theory." The paper proposes the exact opposite of what you are proposing, and further, it says the answer is (classically) "no" to the idea of a maximum force.

Why cite a paper that underlines your own case?
As for the first source, it points to another source that points to another source. Leading to https://link.springer.com/article/10.1007/BF02745135 where it only states that it can calculate a maximal acceleration for a particle. Not a maximum force. Independently of how the author achieves that result, this is already different from the original claim.

Edit here is the follow up paper without paywall: Maximal Acceleration as a Consequence of Heisenberg's Uncertainty Relations 1984
 
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  • #11
Thanks. However, after one paper that doesn't say what it is said to, I am done. I have played the game: "What is your source?" "Here it is." "That doesn't say what you said." "Then this one." "That doesn't say what you said either." "How about this one." It turns out this game is much more fun for the other player.
 
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  • #12
mister i said:
I also think there is no limit
Which makes the question you are asking in this thread pointless. Given that, and the issues with the references that have already been discussed, this thread is closed.
 

FAQ: Can the force of gravity overcome the Planck force?

What is the Planck force?

The Planck force is a fundamental physical constant derived from fundamental constants such as the speed of light, Planck's constant, and the gravitational constant. It is defined as \( F_P = \frac{c^4}{G} \), where \( c \) is the speed of light and \( G \) is the gravitational constant. The Planck force represents a theoretical upper limit to the strength of force in the universe.

How does the force of gravity compare to the Planck force?

The force of gravity between two masses is generally much weaker than the Planck force. The gravitational force is described by Newton's law of gravitation, \( F = \frac{G m_1 m_2}{r^2} \), and becomes significant only when dealing with extremely large masses or very small distances. The Planck force, on the other hand, is an extremely large value, and typical gravitational interactions do not come close to this magnitude.

Can any known astronomical objects exert a force of gravity equal to the Planck force?

No known astronomical objects, including black holes and neutron stars, exert a gravitational force that reaches the Planck force. The gravitational forces within these objects are immense but still fall short of the Planck force. The conditions required to achieve the Planck force are not found in any known natural phenomena in the universe.

Could a black hole's gravity ever reach the Planck force?

Even within the extreme environment of a black hole, the gravitational force does not reach the Planck force. Near the event horizon, gravitational forces are very strong, but they do not approach the Planck force. Theoretical physics suggests that at the singularity, where current laws of physics break down, forces could be immense, but it is still speculative to assert they reach the Planck force.

What are the implications if gravity could reach the Planck force?

If gravity could reach the Planck force, it would imply a regime where quantum gravitational effects become significant and classical descriptions of gravity fail. This could potentially lead to new physics beyond general relativity and quantum mechanics, possibly providing insights into a unified theory of quantum gravity. However, such conditions are purely theoretical and have not been observed.

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