numerical work makes me rather non-communicative;-). I have been working with the numerical realization for the model of coupling constant evolution based on quantum criticality. Numerical work is is not easy at this age and would require a hard wired brain at any age. To make challenge even more difficult, I am forced to use MATLAB without compiler and there are a lot of loops. The basic challenge is how to make things fast by making as much as possible analytically. This kind of problems sound of course childish and crackpottish in the ears of anyone allowed to use the computational resources of any physics department of any University. Perhaps I should be ashamed;-)!
There are also other reasons for being not so communicative. Last week MATLAB went completely mad: probably I became a victim of a clever virus attack, nothing standard against which I am well-shielded. This was not the first time.
Add to this jeremiad the problems of everyday life (for a week I have had nothing at my bank account and getting support social office is slow nowadays since there are long ques) and you begin to understand why the working conditions are not very inspiring. We are however in Finland and in the academic circles of this country thinkers are regarded next to criminals and the best manner to treat them has been found to be the academic equivalent of Siberia.
In any case I have made a lot of progress in understanding coupling constant evolution. The question whether the proposed realization of quantum criticality works is still open. In any case, at ultrahigh energies the behavior of em couplings strength would be like that for asymptotic free theory if criticality is accepted. For low energies the criticality is consistent with standard model behavior for fine structure constant (its value at electron and intermediate boson scale are the constraints). I do not yet know whether the low energy and high energy behaviors are consistent with each other or not. The calculations are desperately slow.
This problem led to the ask whether p-adicization of the theory is necessary to realize criticality. Within two days this led to a rather precise recipe for how to p-adicize the theory in terms of p-adic fractals- creatures which I discovered within first year of p-adic TGD but for which I have not found direct application in TGD hitherto.
The recipe was very simple: consider real Lorentz invariant amplitudes, map Lorentz invariant kinematic quantities to their p-adic counterparts by some variant of canonical identification to get p-adic calued functions with same functional form, carry out arithmetic operations such as the summation of perturbative contributions using p-adic arithmetics, and map the result back to reals to get a p-adic fractal.
You just go to p-adicity, perform arithmetics there and return to reality to see what you got! In this manner the difficulties related to p-adicization such as the non-existence of p-adic definite integral, and the problems with minus sign and imaginary unit can be circumvented and the outcome cannot differ too much from real physics prediction.
I hope that I can write about this within few days. The recent situation concerning bosonic emergence in quantum TGD framework given in the new chapter Quantum Field Theory Limit of TGD from Bosonic Emergence of "Towards M-matrix".