If you read my paper you should also read Phillip Gibbs' paper. Our papers complement each other in some ways. Another interesting source to read is
On the Black-Hole/Qubit Correspondence
L. Borsten, M. J. Duff, A. Marrani and W. Rubens
http://arxiv.org/abs/1101.3559
which illustrates how n-partite entanglements are equivalent to black hole types. What I have done is to look at the equivalency with quantum entanglements and AdS spacetimes. There are discrete group realizations which enter into the problem.
I have worked further to characterize this discrete system. It is related to something called the Calabi-Yau manifold. A black hole has a set of quantal units of area on its event horizon. These are identified with quantum states, and are a partition of integers for counting the number of states on a black hole horizon. The area of a black hole is composed of little quanta of areas given by a sum of integers n_i >= 0,
A = 4 π a(n_1 + n_2 + ... n_m)
where this total number N = n_1 + n_2 + ... n_m can be written according to the integer partition. Another way of thinking about this is that the string modes can exist in a distribution which is an integer parition. This is the holographic principle in action, where the event horizon or stretched horizon is composed of a "gas" of strings.
The density of states for a string is tr(w^N) , which for N = \sum_nα_{-n}α_n the string number operator. Given there are 24 string operator the computation of this generating function is tr(w^N) = f(w)^{-24} for
F(w) = Π_{n=1}^∞(1 - w^n)
This is a form of the Dedekind η-function and the remaining calculation leads to a form of the Hardy-Ramanujan approximation for the integer partitions. Recent results by Ono, Brunier, Folsom, and Kent in the role of modular forms in number theory has result in an exact theory for integer partitions
The partition function for the bosonic string is a Dedekind η-function, which is usually approximated so it has a form of the Hardy-Ramanujan function. However, if one considers it under various the discrete group actions the resulting generator function is a product of Eisenstein functions. The Eisenstein function is has eigenvalue -2 with the euclideanized hyerpbolic Laplacian -y^2(∂^2/∂x^2 + ∂^2/∂y^2). This function, F(z) under the action of (1/2π)(-i∂/∂z + 1/y] is an anti-holomorphic function that is an integer partition.
So things are moving forwards, I hope. I would say that what I have done is proximal to the foundations of the universe because it involves some important structures found by some interesting research of late. These are in particular with the AdS ~ CFT correspondence, correspondence between n-partitite entangelements and black hole types, elliptic curve structure with quantum states, Calabi-Yau forms, integer partitions, which all point to the prospect that the quantum states of supergravity are the zeros of the Riemann ς-function.
My essay here is doing pretty well. It might be a bit overly technical, which is why it is not in the top 6, but has at least been in the top 6 through 12. I will confess that I do think some essays currently ahead of my paper do not particularly warrant the positions they hold, but that is outside my power to change. I would say the papers now ahead of mine I do regard as most reasonable are:
Is Reality Digital or Analog? by Jarmo Matti Mäkelä
Reality Is Ultimately Digital, and Its Program Is Still Undebugged by Tommaso Bolognesi
A Functional Virtual Reality by Efthimios Harokopos
The World is Either Algorithmic or Mostly Random by Hector Zenil
Continuous Spacetime From Discrete Holographic Models by Moshe Rozali
A Universe Programmed with Strings of Qubits by Philip Gibbs
What Mathematics Is Most Pertinent For Describing Nature? by Felix M Lev
Cheers LC
