Zeeya,
I have a new unpublished model of reality, so this seems to be the thread for me. Since I have been working by myself on unconventional material for a long time, I need to understand how to best explain its many unusual assumptions and implications to the larger community and to recruit others to help with the long term research. The technical details are so extensive that a thorough discussion would demand its own forum thread. Simpler details and synopses are appropriate here, however.
As far as I know, I am the only person to go beyond philosophical speculation on how mathematics and science are dual to each other and to develop the foundation for a specific co-construction of mathematics and science. The insight is to start with Einstein's maxim that the laws of nature are the "simplest conceivable mathematics", to see that algorithmic simplicity requires choosing symbols with the maximum "meaning", and to use divisibility as the measure of that "meaning". Specifically I extend Ramanujan's composite number theory to build a 12 number index of the dimensions of the mathematical structures that correspond to "elementary" physical structures. I use a bit of logic, topology, and empiricism to choose what is "elementary". Some of the numbers directly correspond to well known physical values. Others require a moderate amount of calculation.
The result is a Shakespearian universe: All the World's a Stage - to play out the acts of life (and the rest of the universe is a backdrop). There is a Big Bang / Current Epoch duality similar to wave/particle duality. People are in a privileged position as to epoch, scale, and living on the Earth (which has its own privileged position), so the model is thoroughly non-Copernican. Since my specialization runs orthogonally across standard academic disciplines, I need to cast my presentation in a larger context. I wrote the following 5 applications of my theory at the request of Ryan Foland, Assistant Director of UC-Irvine's ANTrepeneur Center, so they could look for mentors for the development of large scale research. The first, Fundamental Mathematical Science, is an extension of Theoretical Physics and is the one directly relating to the FQXi community.
1) Fundamental Mathematical Science - Fundamental science has reached a point of stagnation recently with the discovery of a standard Higgs boson at the LHC at CERN. This completes the Standard Model of Particle Physics with there being no evidence for further particles, yet 95% of the apparent mass of the universe is unexplained. My theory involves nonstandard extensions of general relativity, quantum mechanics, and string theory that allow further fundamental scientific progress. Such progress is essential to the high level mission of major math and science institutions, e.g., AMS, APS, NSF, and ICSU.
2) Cosmic Democracy - The philosophical starting point of my theory is that everything in the cosmos creates everything else. This provides an alternative to the traditional theology currently being rapidly abandoned by young adults in the U.S.
3) Advanced Enzymology - An elementary level of my theory gives the correct density for lithium, bond length for methane, and diamond lattice constant. Extending the theory to amorphous matter should give an advanced enzymology, because the typical major parameters of enzymes are of roughly the same size as in these elementary results. This will support synthetic biology and major medical interventions based on using new sets of enzymes.
4) Nanoengineering - The current International Technology Roadmap for Semiconductors (ITRS) projects to the year 2028 with widths down to 5 nm (twice the fundamental length of my theory). Further progress will get into the realm of engineering atomically precise nanostructures through directed self assembly. The further reduction of power consumption in computation will require using new processes, e.g., superconductivity, electromechanical memory, and spintronics. Nanoengineering at this scale will need more efficient mathematics based on my theory. This extension of ITRS will also be useful for other technology than computation, e.g., biotechnology.
5) Low energy nuclear reactions - Devices now generating these reactions quickly self-destruct at the microscale. Conventional physics provides no effective theory for understanding how to control these destructive secondary reactions. My theory has a particular branch covering them, so potentially can lead to practical small nuclear heat sources. Bill Gates had a discussion Nov 12 with Italy's leading cold fusionist Vittorio Violante at ENEA's Frascati Lab, so there may be new research money available through him.