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Modeling the Anaverse


swampfox

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Here's a picture of the equilibrium surface of the cusp catastrophe:

Note the folded sheet. The equilibrium state of dynamics modeled by the cubic equation above is the sheet. Away from the fold nothing much happens when the system is perturbed; it just move a little bit. Near the fold however, the dynamics is unstable and a slight tug will send it falling off the top fold trajecting onto the bottom fold. This then I present as a very simplified (qualitative) diagram of the "Equiverse", the equilibrium surface of the Anaverse. The fold is the point of the Big Bang. The trajectory, from the top fold to the bottom fold is the entire history of our universe as the Anaverse heads towards a new equilibrium point.

 

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