The anomalies of cosmic microwave background from the TGD point of view

I have not previously systematically considered the CMB anomalies from the point of view of TGD. Cosmological Principle (CP) makes strong predictions. Inflationary cosmology explains the approximate constancy of the CMB temperature and predicts a scaling invariant spectrum for density perturbations: this predicts the angular dependence of the CMB temperature fluctuations. This prediction is however plagued by small anomalies. The CMB dipole is due to the motions of the solar system with respect to CMB. There is also a "matter" anomaly for galaxies and clusters in the scale of megaparsecs. Also there is also recent evidence for the so-called quasar anomaly. There is also evidence for dark flow in even longer scales larger than the horizon size.

The Axis of Evil anomaly is in sharp conflict with CP. The quadrupole coefficients are unexpectedly small and the directions assignable to the octupole and quadrupole coefficients are aligned and parallel to the and parallel to ecliptic which means a strong violation of CP. Besides this there are fluctuation anomalies: in particular, hemispherical asymmetry for the fluctuation strengths.

In this article a TGD based view of CMB is described. In TGD, Cosmological Principle fails at the level of space-time surfaces but is replaced with Poincare invariance at the level of H=M⁴× CP₂: space-time sheets are like moving particles with each having its own CMB. The holography= holomorphy principle generalizes the scaling invariance to holomorphy of analytic functions of hypercomplex and 3 complex coordinates of H so that one has a generalization of conformal invariance to 4 dimensions. The quantum coherence possible in arbitrarily long scales and assigned to gravitational field bodies allows us to get rid of exponential expansion.This has also implications for the understanding of CMB. This picture leads to models of various CMB anomalies.

See the chapter The anomalies of cosmic microwave background from the TGD point of view or the article with the same title.