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.
- 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.
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. 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.
See the article About Dirac equation in H = M4×CP2 assuming Kähler structure for M4 or the 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.
Source: https://matpitka.blogspot.com/2025/07/finally.html
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