Finally!

It is not an exaggeration to say that the 47 year lasting work to develop  the  basic vision behind   TGD to a mathematical theory with a precise physical interpretation  is in some sense finished. Because of the fractality, the emerging theory solves  numerous anomalies and  makes dramatic predictions  in all scales. The next step   is to transform the theory to a calculational apparatus but this requires a collective effort of both mathematicians and physicists.  

The last steps in the process  made transparent the amazing simplicity of the overall picture.

1. The study of the solution spectrum of Dirac equations in  the imbedding space H=M⁴×CP₂  and space-time surface X⁴ have led to a quite dramatic increase of the understanding of how TGD view of standard model physics and gravitation differs from standard view. All interactions reduce to the dynamics of 3-surfaces obeying holography = holomorphy principle and  by general coordinate invariance  only 4 H-coordinates define the primary dynamical variables at the fundamental level.

   Color confinement can be understood directly from the study of Dirac equation in H with M⁴ endowed with Kähler structure  and  electroweak and strong interactions can be seen as different aspects of  the same  interaction.  

2. Color partial waves in H are analogous to orbital angular momentum states and since the electroweak group can be regarded as a subgroup of SU(3),  electroweak quantum numbers can be regarded as  color quantum numbers   analogous to spin. "Strong-electroweak" is completely analogous "orbital angular momentum-spin".  
3. CP₂= SU(3)/U(2) states that also geometrically U(2) acts like a gauge group, whereas SU(3) as a whole is not a gauge group. This sharply distinguishes the standard model and its generalizations from TGD. In electroweak degrees of freedom confinement occurs only for SU(2) but not for electromagnetic U(1) and takes place by screening of electroweak isospin but pairs of left and right-handed neutrinos.
4. By holography= holomorphy (H-H) principle,  X⁴ can be seen as a generalization of a point-like particle and X⁴ spinor modes  are analogous to the spin states of a point-like particle.  The interaction of two space-time surfaces occurs in the intersection of the particle-like 4-surfaces, which for    identical H-J structures  consists of string world sheets. This is nothing but the analog for the interaction of point-like particles occurring only when they are at the same point.

See the article Comparing the S-matrix descriptions of fundamental interactions provided by standard model and TGD or the chapter chapter with the same title.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.