Hey Boehm! Thanks for the questions. When I was providing my citations I had actually wanted to get much deeper into the physics but I felt that doing so would alienate Pinku rather than draw them in. But I'm glad you asked as it allows me to really get into the subjects that I enjoy.
In regards to my second citation, Vilenkin used a model of a closed space time with zero energy and then shrank it down to a zero radius. When he did this the "nothing" became unstable and virtual particle paris formed and vacuume energy caused expansion (i.e. the "nothing" changed). (I apologies about the plain text, it was the only location of the paper I could find where you didn't have to pay to download it as a PDF).
As regards to my fourth citation you must have clicked on the thread right after I posted. I immediately realized I used the wrong hyper link and changed it to the correct one. It's a paper by Friedan discussing how the non-linear sigma model shows that our universe might have formed higher dimensions (up to 26) from a starting point of just 2 dimensions. While there are many papers I could have cited on different physical laws at the big bang, I thought this one most appropriate considering Pinku's earlier reference to higher dimensions.
In regards to my sixth citation the paper shows that even at the plank scale the Lorentz Covariance can be preserved. The basic problem with gravity is how to quantize space-time geometry (think of quantized space-time geometry like a lattice structure of grid points). The problem with any lattice structure is that it breaks Lorentz invariance. Noncommutative geometry solves this problem by maintaining Lorentz invariance and space-time structure at small length scales. While there are probably much better papers linking quantum mechanics to time this is the only one I could cite that I somewhat understand.
I appologize if I came off as trying to browbeat anyone. That is the complete opposite of what I want to do. In the past I have cited much more accessible resources (Wikipedia and various scientfic pop magazines) but invariably someone always jumps up and points out "Hey, those aren't science! Anyone one can write that crap!" So I've taken to mostly citing academic and peer reviewed work. Damned if you do damned if you don't I guess. Perhaps in the future I'll cite both to try and dispell the confusion.
Anyway, once again thanks for asking. I'm glad I had the oppertunity to get into it. Also, I'm an autodidact at best so if you ,or anyone else, has a better understanding of the topics or more applicable academic sources they can cite I would love to hear it and read it.
Thanks!