Comments | trenchcloak: /: Absolute Zero

trenchcloak

/: Absolute Zero

Dec 20, 2005 20:37

Don't think too hard on this one. I can't come up with an elegant way to ask this.

Objects with mass have potential energy due to gravity fields they are exposed to. This potential energy is usually calculated as relative to some zero, which could potentially be infinitely far away from all other gravitational fields, establishing a sort of ( Read more... )

Comments 6

towerboy December 20 2005, 19:13:20 UTC

Ok, there is a flawed assumption here, namely that the gravitational potential energy is part of the rest energy, which it isn't. The rest energy of an object is m0c2, Where m0 is the mass of the object when it is not acted upon by any gravitational field. This has nothing to do with the gravitational potential energy of the object when it is in a gravitational field.

And if you set the reference point for the gravitational potential energy to be at infinity, where there is no gravitational field, then the value of the energy is the line integral of where:
g is the gravitational vector field
l is the line (in vector form) from the starting point to the point that you are evaluating the graviational potential energy
is the inner product (commonly known as the dot product) of u and v

At least that is what I think is going on if I remember my high school physics correctly.

Mass of Myself trenchcloak December 22 2005, 21:03:24 UTC

Of course the potential energy won't affect the rest mass. Moving at extreme velocity won't affect its rest mass either, but it will affect it's effective mass. If kinetic energy can affect effected mass, then why not potential energy? There's much about relativity I don't understand, but this quirk doesn't involve waves.

I seem to recall that the force of gravity between two objects is Gmmr-2, and that the needed kinetic energy for escape is Gmmr-1. Again, I'm being too lazy to look this up or crunch the numbers. As usual, this end of year has me locking in a combat of fury and despair, leaving me little time and energy for other pursuits.

bright_family December 21 2005, 03:42:02 UTC

My brain hurts.

lubeck December 21 2005, 09:30:12 UTC

Tits... I'm sure that's the answer.

Oh, and black holes I wondered.

Are they pink on the inside?

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