The description of E and B modes of CMB in the TGD framework

There are two key differences between inflation theory and TGD. In TGD, the almost constant value of the CMB temperature is due to quantum coherence in arbitrarily long scales rather than exponential expansion which does not look plausible. There is however expansion in the transition from the primordial cosmic string dominated phase in which space-time surfaces have 2-D string world sheets as M^4 projection, to monopole flux tubes liberating energy and leading to a radiation dominated cosmology. An entire sequence of phase transitions leading to the thickening of the monopole flux tubes is predicted, and interpreted as transitions between copies of standard model physics labelled by different p-adic mass scales predicted by TGD. If there is an exponential expansion, it is associated with this sequence.

So called B modes are the key prediction of the inflation theory. They are generated already in the inflationary period in the exponential expansion amplifying quantum fluctuations to cosmic scales. The primordial B modes are caused by gravitational waves and leave an imprint of primordial quantum fluctuation in cosmic scales. Their observation would be a victory of inflationary cosmology but their observation is extremely difficult due to the fact that also gravitational lensing transforms E modes to B modes.

The massless extremals (MEs) as counterparts of classical radiation fields provide a TGD based model for E and B modes. The prediction of the holography = holomorphy principle is that these modes are interchangeable locally. The local polarization vector for MEs is a holomorphic vector for which curl and divergence vanish apart from singularities, where the holomorphy fails. E and B modes differ only globally: for the B modes the coordinate lines of the polarization vector are closed curves around singularities. For E they connect singularities. The detected intensity vanishes outside the singular points,where it has a delta function type singularity. A natural interpretation as a vertex for photon emission/absorption.

See the chapter TGD and cosmology or the article The description of E and B modes of CMB in the TGD framework.