The TGD counterpart of the self-interacting dark matter would be cosmic strings, which are 4-D space-time surfaces in H=M4× CP2 having string world sheet as M4 projection and a complex 2-surface, such as homologically non-trivial geodesic sphere, as a CP2 projection. Cosmic strings would dominate in the primordial cosmology and then a transition to radiation dominated phase would occur as an analog of the inflationary period in which strings would thicken to flux tubes with 3-D E3 projection. No exponential expansion is needed since the predicted gravitational quantum coherence in arbitrarily long scales explains the constancy of CMB temperature.
Galactic dark matter would be classical magnetic and volume energy of the cosmic string and dark energy would be a better term. Self-interaction guarantees strong correlations between the galaxies associated with the string as tangles of the cosmic string for which the string thickens to a monopole flux tube and liberates energy as ordinary particles. These tangles would contain stars as sub-tangles. These tangles can be formed in the collisions of cosmic strings. The velocity spectrum for distant stars is predicted to be flat for a single long cosmic string.
See for instance the article About the recent TGD based view concerning cosmology and astrophysics.
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
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