Nakranoth wrote:For one, in order to have another Big Bang we either need more mass (the law of conservation of mass/energy suggests this as being impossible) or all the mass that currently exists to recollect into the center of the universe.
Quite true. It is quite possible that we live in a closed universe (although current thinking is leaning towards an open universe). If that is the case, then the universe will eventually begin to collapse, back into the singularity from which it started. From there, it could create another big bang. Unfortunatly, everything is almost certainly destroyed in such a process, and thus no knowledge nor artifacts could survive between cycles.
Nakranoth wrote:Phi is simply the relation between the radius of a circle and it circumference, it exists because circles exist and we decided to measure it.
You are thinking of Pi. Phi is another greek letter that has different uses. Presumably Nalaris was trying to speak of the golden ratio, which is simply a ratio of proportionality, and a natural algebraic construct of nature (just as pi is). It is possible however that he was speaking of Euler's totient function, an electric potential equation, or a magnetic flux equation.