Can TGD predict the value of Newton's constant?Newton's constant G cannot be a fundamental constant in TGD framework, where CP_{2} radius R and Kähler coupling strength as the analog of fine structure constant are the fundamental constants. Dimensionally G corresponds to R^{2}/ℏ. This gives guidelines for predicting G. TGD predicts a hierarchy of effective Planck constants h_{eff}/h_{0}=n, where n is the order of Galois group of Galois extension defining extension of rationals. Dimension n factorizes to a product n=n_{1}n_{2}... for extension E_{1} of extension E_{2} of .... rationals. M^{8}H correspondence allows to associate the Galois group with an irreducible polynomial characterizing spacetime surface as an algebraic surface in M^{8}. The gradual increase of extension by forming a functional composite of a new polynomial with the already existing one (P→ P_{new}○P) would be analogous to the evolution of genome: earlier extensions would be analogous to conserved genes. The proposal modifying the earlier proposal is G= R^{2}/n_{gr}ℏ_{0}, where n_{gr} is the order of Galois group G_{gr} "at the bottom" of the hierarchy of extensions, and one has ℏ=6h_{0}. One would have n=n_{1}n_{2}...n_{gr}. G_{gr} "at the bottom" is proposed to represented number theoretically geometric information about the imbedding space by providing a discretization for the product of maximal finite discrete subgroup of isometries and tangent space rotations of imbedding space. By M^{8}H duality these subgroups should be identical for H and M^{8}. The prediction is that maximal G_{gr} is product of icosahedral group I with 3 copies of coverings of I. Rather remarkably, the prediction for G is correct if one assumes that the value of R is what padic mass calculation for electron mass gives. Since the hierarchy of Planck constants relates to number theoretical physics proposed to describe the correlates of cognition, the connection with cognition strongly suggests itself. Icosahedral and tetrahedral geometries occur also in the TGD based model of genetic code in terms of bioharmony, which suggests that genetic code represents geometric information about imbedding space symmetries. These connections are discussed in detail. or the article Can TGD predict the value of Newton's constant? will appear to my homepage when it becomes possible to send files to the homepage. See the chapter About the Nottale's formula for h_{gr} and the possibility that Planck length l_{P} and CP_{2} length R are related or the article Can TGD predict the value of Newton's constant?.
