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POPSSEXY (Totaly hot naked picture of a Mono-monostatic object: perfect geometric equilibrium) Now that I have your attention, allow me to introduce the Gomboc! It's an object of absolutely perfect geometric equilbrium. There is only one position in which it can rest, and it will always return to the exact same posture, because the balance of its proportions all pull it to a single incredibly narrow center of gravity. And, it is TOTALLY NAKED! I mean, just check out the curves on this one! How did we get this Gombloc? Well, there were a few Russian mathematicians sitting around (probably stoned) who thought it would be cool. So they just sat down and did the math "for a few years" and then tested thousands of pebles (once again, STONED!) until they just decided to make one themselves. I am so not worthy!
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POPSThe Universe - A ClipXploration * 7
Another citation from Google Scholar on Wave function of the Universe . The quantum state of a spatially closed universe can be described by a wave function which is a functional on the geometries of compact three-manifolds and on the values of the matter fields on these manifolds. The wave function obeys the Wheeler-DeWitt second-order functional differential equation. We put forward a proposal for the wave function of the "ground state" or state of minimum excitation: the ground-state amplitude for a three-geometry is given by a path integral over all compact positive-definite four-geometries which have the three-geometry as a boundary. The requirement that the Hamiltonian be Hermitian then defines the boundary conditions for the Wheeler-DeWitt equation and the spectrum of possible excited states. To illustrate the above, we calculate the ground and excited states in a simple minisuperspace model in which the scale factor is the only gravitational degree of freedom, a conform
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