Thread: Gravitational Force Too Large; Distance Too Small

1. According to the formula G(m1+m2)/r^2, the gravitational force between two objects increases when the distance between them decreases. But when r =0, we've got an infinitely large force between them.

I know not much about nuclear physics, but I heard that bounded quarks cannot be separated, the energy used to do so will create a new quark. I'm not sure whether this gravitational force can explain this phenomenon , or gravity has nothing to do with this. It's just my speculation.

Any idea?

2.

3. Because of the extremely small masses of particles at the atomic and subatomic scales, gravity is very weak, even at such small distances as those of bonded quarks. The force holding the Quarks together is the strong interaction, which is some 10e39 (that's a 1 followed by 39 zeros) times stronger than gravity.

4. But when r =0, we've got an infinitely large force between them.
No, when r = 0, your answer is undefined. Division by zero does not result in infinity, it is undefined.

5. Well no. For example, 1/0.1 = 10; 1/0.01 = 100... and so on. The smaller the denominator, the larger the fraction gets. I know that it is said that the denominator mustn’t equal 0, but at least it can become so small that it approximately equals zero, thus making the fraction infinity big.

Besides, every mathematical value should correspond to the actual phenomenon. Just as how sqrt(x) has a positive and negative value, correspondingly anti-matter was speculated by Paul.

I don't really know what I'm talking about... I'm just an amateur. Please tell me if I'm right or wrong.

6. Well, yes.

Very basic math. Very basic.

7. Originally Posted by Wise Man
Well no. For example, 1/0.1 = 10; 1/0.01 = 100... and so on. The smaller the denominator, the larger the fraction gets. I know that it is said that the denominator mustn’t equal 0, but at least it can become so small that it approximately equals zero, thus making the fraction infinity big.

No. No matter how small the denominator gets, you get a finite number for the fraction, and any finite number, no matter how big, is equally far from infinity as any other.

And, as I said in my previous post, the distances never get small enough for gravity to become a significant factor at that scale.

For example, a quark in a proton is about 1/3 the mass of the proton or 5.57e-28 kg
The radius of a proton is ~8e-16 meters

Using the formula for gravitational potential energy:

Where d is the distance between the quarks, we get:

which means that it would take 2.6e-50 joules to pull the quarks completely apart against the force of gravity

If you use E=mc^2, you can find how much energy is needed to create a quark.

this comes out to 5e-11 joules, or 2e39 times more than the energy needed to pull the quarks apart. Ergo, the gravitational force is just too weak to be a player here.

8. Inverse square law implicitly assumes that the particles are points (or spheres - where you stop at the surface). However at small distances this assumption breaks down - quantum theory, etc.

9. I feel kind of stupid now. Thanks guys. I get it now, it's impossible to have two objects ( whether it be fundamental quark or anything else) with a distance of zero between them. Also, mathman's words reminded me that in the quantum world everything is uncertain, things behave like waves more than particles.

I hope to study Quantum Mechanics in the future for my father did so and he's always talking to me about the wonders in it, from Young's double slit to uncertainty principle.

10. when Size of the area is zero , because of the pressure on the area, the time reversed direction and dimension multiplies, because R has three degrees of infinity and therefore the space multiplies only to three dimensions

11. Originally Posted by Water Nosfim
when Size of the area is zero , because of the pressure on the area, the time reversed direction and dimension multiplies, because R has three degrees of infinity and therefore the space multiplies only to three dimensions
That's to complex for me, I can't rap my head around dimensions and time and all that yet.

12. In size of zero time is reversed and the particles replicate and receive volume

13. Its dynamic

14. Originally Posted by Wise Man
Originally Posted by Water Nosfim
when Size of the area is zero , because of the pressure on the area, the time reversed direction and dimension multiplies, because R has three degrees of infinity and therefore the space multiplies only to three dimensions
That's to complex for me, I can't rap my head around dimensions and time and all that yet.
It's not complex, it's gibberish. He never makes much sense. Don't worry about it.

15. Originally Posted by Wise Man
Originally Posted by Water Nosfim
when Size of the area is zero , because of the pressure on the area, the time reversed direction and dimension multiplies, because R has three degrees of infinity and therefore the space multiplies only to three dimensions
That's to complex for me, I can't rap my head around dimensions and time and all that yet.
There's nothing there from Water to try to rap your head around, so don't worry about it.

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