Hi Sreenath,
Thank you for reading the essay in a thoughtful manner. Sorry for the late reply, I was busy converting more C++ programs to JavaScript so that you and others can run it and see (also modify) the code and have a much better understanding. Since my system does not have equations as such or philosophical arguments, so the best way to learn it is by running the simulation.
I have always tinkered with ideas in math and engineering mostly, but I only read physics. Somehow, the idea of the relation of physics and math started brewing in my head for few years. One day sitting with my friends and everybody was complaining about the world and life, so to ease the discussion I just throw a one liner and said that reality was nothing but some math. So everybody laughed their head off and walked out shaking their head.
I was very surprised of the words that came out of my mouth, I said to myself, aha, this is what was in my head but I could not express till that moment. Having a bit of free time I started thinking what could this mathematical structure will look like and how could it arise. To be honest I was really only thinking of the possibility of creating a very crude universe like system just for my amusement.
After thinking about what could be happening on the line, it just seemed so natural to implement the idea using computer program. It is not like I said, here, I am going to write a program to simulate our reality using computer. I was so shocked (but deep down not surprised) when I saw the sin^2, I was expecting some kind fractal or some similar stuff, but never ever the actual physics of our reality.
I tell you this long story because I think it makes it much easier to understand my replies to your comments.
The words "mathematical structure" are used both in general sense and has more strict mathematical meaning. It is used loosely to refer to any mathematical like systems like a triangle or a circle. And in formal way as in
http://en.wikipedia.org/wiki/Mathematical_structure
https://en.wikipedia.org/wiki/Algebraic_structure
Of course I am using more in the general sense just like Dr. Tegmark's MUH.
I will have to read you essay more carefully to see the relation of math and physics in your idea. But I think already in mine the reason for the "effectiveness of math "is much clearer. You can see how classical physics and standard quantum physics have their origin in my system which is purely mathematical and so the classical theories are either effective theories (classical physics) or a "look alike" (quantum physics). There is a famous quote by Feynman in regards to Schrodinger Equation (which is known to be a fantastic guess by him) just popping out of Schrodinger's head, meaning there appears no basis to it other than it works. My system shows the origin of the equation, and it is clear how the math relate. Moreover, with my system I do not attempt to derive anything. The nature of the system from its inception has been to see what is possible to do on the line AND THEN see if I can interpret the results to match some known physics. I have not thought, ok, now I shall derive the natural constants, no. I just look at possible results and see if I can make any sense of them that is all.
As far as a system that solves all intellectual problems in one system, I think that is a very ambitious and unrealistic goal, but contemplating such issues does add to our knowledge . Many of the essays in the contest are misguided in my opinion because they tackle cosmological problems that have very scarce data, while we have these giant colliders and we are struggling with basic issues in particle physics. I believe we must solve the fundamental problems first before tackling more complicated ones. Anyway, the problem of existence is by far more mysterious, enigmatic and psychologically important that the issue of biology and consciousness. Because the later do have a very good chance being explained by the former but not the other way around.
As I said in my essay gravity is still under research. It is so difficult to simulate even for very short distances the numbers fluctuate so much it is very hard to make sense out of them, but I think there is hope. Maybe another two weeks or so I might be able to show more. The issue you raised about electron energy and the proton is interesting while the system does seem to follow standard physics but it seems that some surprises about the proton might be there. I am also working on that and it looks interestingly unconventional, but maybe the time is not right to disclose until further checks.
Hopefully by tomorrow I will read and rate your essay. Thanks again.
Adel