- #1

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Well, my question is, does gravity act on this new mass? If so then shouldn't it have slightly more gravitational potential energy, and thus slightly more mass etc. ad nauseum?

Would the infinite series I've suggested converge?

- Thread starter Archosaur
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- #1

- 327

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Well, my question is, does gravity act on this new mass? If so then shouldn't it have slightly more gravitational potential energy, and thus slightly more mass etc. ad nauseum?

Would the infinite series I've suggested converge?

- #2

Doc Al

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Where did you hear that? The increase in potential energy, which is what I assume you are talking about, doesn't belong to the boulder by itself.So, I've heard that if you lift a boulder into the air, it's mass increases slightly as per e=mc^2.

- #3

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Also, the infinite regress does converge because it only take a finite amount of energy to separate the bound particles from one another (this is the binding energy of the system).

- #4

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I can't make out exactly how you are conceptualizing this, and the fact that you ask if it converges tells me your not that clear about it either. But yes, gravity is self gravitating (nonlinear) in some sense, and it does converge.

- #5

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Gah... of course :/Where did you hear that? The increase in potential energy, which is what I assume you are talking about, doesn't belong to the boulder by itself.

Forgetting that the Earth is a thing is an embarrassing mistake.

But then... where is this extra mass? Doesn't mass have to "be" somewhere?

- #6

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That's the magic of E=mc^{2}. The inertia is in the energy itself.

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