The PuritanBoard - View Single Post - Paradox of the Stone

Brian Bosse · #7 (**permalink**) 02-20-2008, 09:11 PM

Hello Civbert,

Hold onto your hat, Anthony. Assuming Newtonian Physics, the following is the formula for the weight of an object ‘x’ relative to an object ‘y’ from a given distance between their centers of mass:

W(x) = M(x)*G*M(y)/D(x,y)^2

Let’s assume that the physical universe is such that there is a limit to density, i.e. there is a maximal density. For the sake of discussion, let's say the maximal density is such that for every kilogram of mass for an object ‘x’ the object occupies a spherical space with the diameter of 1.35*10^-32 meters (this is an approximation of the Planck Density – the density of the universe one unit of Plank time after the Big Band explosion).

Assume we have two objects of maximal density that are touching each other. (Think of two spheres – one on top of the other.) Both objects have the same mass (M), and both objects have the same maximal density. The distance between the two centers of mass is precisely the diameter of one of the spheres. Therefore, the distance between the two sphere is M*1.35*10^-32 meters. The weight of each sphere would then equal…

W=M*G*M/(M*1.35*10^-32)^2
W=M*G*M/M*M*1.82*10^-64
W=G/1.82*10^-64
W=3.66*10^53N

This is an extremely interesting result! Given a maximal density, we have determined the maximal weight that any object could possibly have, and the mass of the object makes no difference!!!!!!!! The only things that play a part are the two universal constants of maximal density and gravitation. The reason for this is that the more massive (mass) the objects become the farther away their center of gravities become, and this completely offsets any gains under the constraints listed above.

As such, given the universe as described above, there is an upper bound as to how much an object can weigh. The question then becomes can God create a force that exceeds 3.66*10^53N? If so, then there is no object, given the constraints of our universe, that cannot be lifted.

I suppose the next question is if God can create a universe so that an object cannot be lifted? Again, this ultimately goes back to God. What do you think?

Brian