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Old 02-20-2008, 02:56 PM
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Civbert Civbert is offline.
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Quote:
Originally Posted by Brian Bosse View Post
Hello Civbert,

I think you open up interesting lines of possibilities. Let's assume Newtonian Physics as a framework. Let M(x) be the mass of some object 'x'. Let M(y) be the mass of some object 'y'. Let 'G' be the universal gravitational constant, and D(x,y) be the distance between the center of mass of x and y. The weight of 'x' relative to 'y' would be defined as: W(x)=(G*M(x)^2*M(y))/(D(x,y)^2). When we say x cannot be lifted, we are saying that there is no force greater than W(x).

What is interesting about this is that W(x) is relative to M(y). If W(x) is maximal, then M(y) cannot exceed M(x). (They could be the same.) Not only this, W(x) is relative to the distance between the centers of mass for objects 'x' and 'y'. This distance must be the minimal distance possible. What does that mean? Density now comes into play. If an object is very dense, then the space an object takes up is smaller. This means its center of gravity can be closer to another object than say another less dense object could be. So, we are now talking about maximal density. In other words, in order to have a maximal W(x), you need another object that has the same properties of mass, both objects need to be maximally dense, and they need to be maximally close.

From this, can we derive a contradiction?

Brian
P.S. I suspect even thinking along this line will still end up back at God.
You know what this is! It just came to me. It's a kind of Zeno's paradox! As the density goes up (approaches infinite), and the distance gets smaller (i.e. approaches zero), the force to "lift" increases infinitely. It's a limitless equation which doesn't converge on a maximum. The question can only be answered if there were a definite maximum.

The equations we have now are empirical - and scientific measures break down when things get too dense or small. I think we are talking about black-holes here. So our physics break down. But I don't think the logic does. I think it's an infinite loop with no definable end. It's still n+1.
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