I have conjectured the Milgrom Denial Hypothesis: The main problem with string theory is that string theorists fail to realize that Milgrom is the Kepler of contemporary cosmology. I have 2 main guesses: (1) String theory with the infinite nature hypothesis implies supersymmetry and no MOND. (2) String theory with the finite nature hypothesis implies MOND and no supersymmetry. Can string theory explain dark matter, dark energy, inflation, the space roar, and the photon underproduction crisis? It seems to me that string theory provides a means of unifying mathematics, theoretical physics, and theoretical computer science.
Consider the following hierarchy:
infinitary mathematics (Zermelo-Fraenkel set theory, Mochizuki's IUT with alternate universes of quantum logics)
/
finitary mathematics (monster group) -- string theory -- theoretical physics (quantum field theory, general relativity theory)
/
quantum computing, computer science, nanotechnology, chemistry, condensed matter physics
/
computer software, AI, robotics, engineering -- molecular psychology -- theoretical biology, molecular biology, biotechnology
/
social sciences, humanities
My guess is that Lestone's theory of virtual cross sections can be justified in terms of the string landscape and in terms of string theory with the finite nature hypothesis (but in substantially different ways).
J. P. Lestone has introduced a highly speculative approach to estimating the fine structure constant in terms of his theory of virtual cross sections. Lestone wrote,
"Introduction to my idea
Before Hawking's work (and others) black-holes were believed to be point objects with only mass, spin, and charge. This is why Einstein (1930s) and others have previously considered the possibility that fundamental particles (like leptons) are quantum micro black holes. Black holes are now believed to have a temperature, entropy, and thus many internal degrees of freedom. Individual black holes are objects amenable to statistical mechanics.
My heretical statement
If black holes (once thought to be point objects) are amenable to statistical mechanics, then why not fundamental particles like leptons? (1988)
Introduction to my idea continued
I consider the possibility of a very strange "unknown" imaginary class of particles, with several unique (bizarre) properties including
(1) My particles have a very high temperature(s).
(2) Despite having a very high temperature, my imaginary particles can not change their rest mass upon the emission of electromagnetic energy. Using known physics my imaginary particles (if isolated) can not emit any "real" photons".
(3) However, I consider the possibility that my imaginary particles can emit and absorb unphysical L=0 "virtual" photons via the time-energy uncertainty principle.
(4) The emission and absorption is controlled by statistical arguments involving their classical temperature and possibly other effective temperatures.
..." http://permalink.lanl.gov/object/tr?what=info:lanl-repo/lareport/LA-UR-16-22121 J. P. Lestone, "Possible path for the calculation of the fine structure constant", Los Alamos Report LA-UR-16-22121, April 2016, Los Alamos National Laboratory
MY GUESS is that there might be a plausible way of justifying (1)-(4) in terms of string theory with the string landscape. Assume a string landscape in which all the alternate universes have Standard Model free parameters that are very close to each other. If there is (in the string landscape) an extremely hot interstitium which is 10-dimensional and super-hot with respect to all the cooler alternate universes, and ALSO most of the virtual energy close to each alternate universe is slightly super-hot but cool enough that it is ALMOST conventional in terms of 4-dimensional spacetime, then it seems to me that (1)-(4) might be justifiable.
Also, in string theory with the finite nature hypothesis, several of Ramanujan's formulas might be crucially important. In particular, I want to mention the Theorems on pages 10 & 12 and equation (11.4) on page 17 of B. C. Berndt's "An overview of Ramanujan's notebooks".
http://www.math.uiuc.edu/~berndt/articles/aachen.pdf