I want to talk to you. I’m not crazy, or maybe a bit crazy but not irrational or unpredictably dangerous, and quite competent at getting things done as well.
I think my great romantic creative over-the-top push ends. I’m looking at some rash decisions that were absolutely necessary to get clarity of focus, to the ideas needed to push through search for quantitative phase transition mechanisms to turbulence in global financial volatility. This may have been, besides my romantic ideas about what is possible when one meets one’s soulmate, the rational course and I feel that I’ve passed the ordeal with flying colours sweetheart. I’ve explored Laplace and Newton to understand the geometric source of potential in physics in the past months of homelessness, and have an invitation to return to Dallas to my aunt’s house to recuperate, have all my things in San Francisco safely in storage for $60/month and most of it are around ten thousand dollars worth of books that I was preparing to retire and work on for the rest of my life while returning to technological entrepreneurship. I’m very good at getting coding things done even though my mind is so often trying to seek answers to some harder questions, like the ones that I could open up in my emails to you and my blogs recently, that I don’t have the same engineer’s focus.
I have enough money just to take a Greyhound bus to Dallas and I think I will do this now. I want to live the end of my life back in San Francisco. I’ve friends here and I love this as the only city in America where I can live happily and I will not leave the United States because to whatever extent my geopolitical views have sense, I feel anointed in a way for being Princeton-educated, articulate and smart and have the courage to talk in detail about my controversial political views. I am truly sorry for Jews who died in the Second World War, sweetie. I am horrified by all deaths. At the same time, sixty million people died in the second world war and this is a time of crisis for Americans and all people of the West too, as the Zionist propaganda stream makes Americans weak against geopolitical hegemonic conflict with China which is a real Empire with unabashed ambitions of the Mandarins. To the extent Zionists blew the fuse of Washington Power and yet are totally incompetent to manage world empires because of their ridiculous tribalist visions and goatherding religious views, the future of not only your child but that of the entire West seems in jeopardy. I’m American to the core, but in my heart and ideals rather than by ethnic background. I’m disconnected from American society because like you I am a loner.
Anyway, clearly you have other things to do. Take care cutiest sweetheart. I think I will go to Texas, save up some money since I can at least get some rest from sleepless weeks sleeping on streets waiting for any San Francisco effort to reduce housing prices, restudy study fractional calculus and continuous-time finance and now that I am actually close to getting some real results be a good scholar and get my work in order to do something more serious — and no worries I will dedicate this to you as a labour of love even if you can’t respond — you, or more precisely my love for you, inspired this genius stretch finally crossing a hundred years of thought in finance (as Chapter 3 of Robert Merton’s Continuous-Time Finance tells you that sample paths of diffusions have been the mainstay of serious quant finance since Louis Bachelier the student of Henri Poincare since 1900) so when I looked at the market graph with 1900 stocks and consider the search for Navier-Stokes like partial differential equations that might describe the volatility time series, I am breaking another century long tradition as I had done with Big Bang and Quantum Mechanics. I did not get lucky with the models of the Big Bang or revision of Laplace’s original definition of Potential from 1790s by the geometric term:
V = N(x)^2 + 2 mu(x) N(x)
which is the term that arises from the normal vector field N(x) to the physical universe M immersed in an S4(1/h) universe, and mu(x) is the mean curvature of the physical submanifold. This is the potential term that arises naturally when you restrict what I call the fundamental equation of S4 universe which is:
(i * d/dt – Dirac_{S4(1/h)}) psi = 0
In order to define this rigorously, you need a spin-bundle on S4(1/h) which is naturally defined for the round metric: you take the orthnormal frame bundle which is an SO(4)-bundle where at each point you consider the rotations of the R^4 that is the tangent space and then note that SO(4) is topologically not simply connected which means that it has a finite nonzero fundamental group Z_2 (two elements) and therefore you can take the double-cover of this group and obtain Spin(4) which turns out to be SU(2)xSU(2) where SU(2) is topologically the three-sphere and in terms of quaternions are the unit quaternions. In fact electromagnetism is due to this product structure of Spin(4). In order to rigorously define the Dirac operator, one considers the equations not on functions on S4(1/h) but on spinors. All this is done in detail by Lawson and Michelson’s book. This is a stream that begins in 2008 when I opened my third eye first and had originally emailed many of my old mentors about S4 physics with too vague an idea which became clearer over time but I’ve been fighting with everyone on Facebook with blogs for this, this is the simple clear issue of how Laplace would have defined potential perhaps. Here potential is the outcome of an exact geometric term that comes from taking the Dirac operator on S4(1/h) and restricting it to a three-dimensional ‘physical’ hypersurface M of S4(1/h). This is a computation that is not new — Witten used this and Hijazi has a nice presentation of how to do the computation (
http://arxiv.org/abs/math/0012262). The mathematics is not the main issue but rather to see PHYSICS afresh and consider the issue of a four space-dimensional physics seriously. What is clear to me is that this geometric potential describes a deterministic physics for the entire universe and all potentials that are physical, for the linearization of the fundamental Dirac_{S4} wave equation to a physical hypersurface is exactly Dirac equation
i*d/dt – Dirac_{M} + GeometricPotential = 0
The moment one has this GeometricPotential(V=N^2 – 3 mu N) one has all consequences of Quantum Mechanics with none of its interpretations and one has knocked out the Quantum Mechanics where a God plays dice with the universe fulfilling Einstein’s technical dream of unifying gravity (which is easy in S4 physics) and quantum phenomena (where we see how the Dirac equation occurs), and we know that the HIERARCHY problem of the difference in strength between gravitational force and electromagnetism is trivially h^2 in S4(1/h) simply because the SCALAR CURVATURE of M which occurs in the gravitational field equations scales with the radius of the universe while Yang-Mills equations, which are conformally invariant, do not, so the radius of the universe controls not only the quantization of energy level (1/h radius gives this) but also the hierarchy problem and so on. So this is definitely by parsimony the best physics model out there which is in perpetual state of development till I can do detailed work which is quite a bit of work in my state.
Now this issue of PHASE TRANSITION mechanisms for turbulence came out of inspired love and reaching for deep understanding of what is happening with global financial volatility and the attached snaphot and Merton’s book (Chapter 3) as well as the Gorenflo-Mainardi papers tells you about the state of the field where at its funkiest FRACTIONAL DIFFUSIONS which are CALM WATER phenomena govern the models in finance which have NO possible phase transitions to turbulence. So out of inspiration from Lars ONSAGER’s work from early 1940s (
http://bactra.org/sloth/eyink-and-sreenivasan-on-onsager-on-turbulence.pdf) although I think I should be a decent scholar and read him more carefully. I’ve taken full effort and expended it on making the leap and trying to get numbers directly for a phase transition term ‘F’ in excess of fractional diffusions which is a rush to get some proof-of-concept results breaking the barrier of diffusions in quantitative finance. One can always slowly do the due diligence in being educated afterward and this is what I could do with the creative inspiration.
I think that more pressures on my mind and body are not going to be helpful, so I will go back to Texas. Anyway, I wish you’d come visit and I love you ok? I don’t hate Jews or anyone else, and I don’t hate you either. I love you. You’re in my mind always this cutiest baby girl which may change if we meet one day but till then, and thanks for the love that allowed this leap of genius. It’s been a fabulous trip.
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