I left a comment on his excellent essay, which I want to read further.
Also will study his works, you mentioned, in arxiv.
You analyze mainly the relationship, which undoubtedly exists between groups of symmetry, the geometric topology and the quantification of information.
This is the right path to that sooner than later the physicists will have to take if they want to reach a unified theory, even partially.
that should not be forgotten, that it is possible to reach a limit in the acquisition of knowledge, or quantity of information algorithmic computable form, using equations solvable. This is demonstrated, for example, with no computable number, omega, Chaitin.
The space-time-mass has to be quantified, not crossable with lower limits. Only in this way avoids the singularity of black holes, which is not limited due to quantum theoretically, the general theory of relativity.
This same problem is in the ad hoc method: the renormalization of the infinite.
With the quantification, with limits proportional to the Planck mass, Planck length and Planck time, it would avoid the infinite.
As I show in my paper this year, a mathematical theory very basic string already exists in the foundations of quantum theory, I am referring to a string vibrating in a box, which as you know well it responds to the equation:
[math]P=\sin^{2}(2\pi/l)(2/l)
[/math]
The modifications that should be made to this equation are that the factor 2 represents the maximum fluctuation, and the length should be replaced by a dimensionless length, as the ratio between the length d dimensional, relative to the Planck length.
In the case of the Higgs boson equation reduces to:
[math]P(2,l_{7})=\sin^{2}(2\pi/l_{7})(2/l_{7})\cdot246.221202\: Gev=126.177\: Gev=m_{h}
[/math]
Where L7 is the dimensionless ratio lenght Placnk in seven dimensions to Planck lenght, that is:
[math]l_{7}=([2\cdot(2\pi)^{7}]/[(16\pi^{3})/15])^{1/9}
[/math]
In short: the simplest compactification in circles; Kaluza-Klein type
At present, I am studying a demonstration of the Riemann hypothesis. Before publishing it, I want to make, reviewing it intensely.
Humbly, is a demonstration of a beautiful simplicity, which is why I doubt that is correct, despite the fact that, after repeating all steps not find any errors.
I'm working on a reformulation of demonstration, basing on the following property that only has the square root, and why the Riemann zeta function can be expressed by the following differential equation:
[math]\zeta(s)=(-1)^{x-1}\cdot[\cos\{-t\cdot\int2df(x)/f(x)\}\cdot2df(x)+i\cdot\sin\{-t\cdot\int2df(x)/f(x)\}\cdot2df(x)]
[/math]
[math]f(x)=\sqrt{x}\:\: s=1/2\;+it
[/math]
Regards