CMB Polarization Isomorphism to Riemann Zeta Function
- Stephen Sharma

- Aug 15
- 2 min read
What scientists understand from the cosmic microwave background, or CMB, is a picture of the scattering and interaction, statistically speaking, of the early universe up until today. Of course, we must use Planck-Wheeler coordinates to get some universal picture and absolutist interpretation of events. The CMB is like the photon string geodesic landscape and it would make sense that in a Big Bang that contained no spontaneous symmetry breaking there would only be isotropic and homogenous polarization distributions. A good mathematical mapping problem is to take the linearly traveling wave and map it to the spherical wave in order to understand the solid angle constitution of polarization. What we should gather from the CMB polarization of photons is an idea that the randomness from scattering is equal to the spacing and distribution of an analogous function, a Riemann zeta function prime numbered product. Of course, the relationship between distributions in the string geodesic landscape and the statistical observations in the CMB is dependent on the measurement problem, the sensor interpretation, but that can be corrected for if one uses a self-similar fractal approach to the complex scientific enterprise. What this means is that the uncertainty is dependent on a fundamental momentum, or spread in phase space, related to the inherent properties of the photons. Somehow, quantum manages to intersperse uncertainty relations into the mixing of polarization by having phases spread.
CMB polarization is anisotropic and does not have a right left evenness, or even a circular homogeneity. What occurs is a universe of scattering of quantum states and of photons, the primordial constituent of the universe, to the ends where the sampling must indicate only one type of distribution, the zeta. If there is any regularity, then the artifact must be related to a phenomenon embedded in a larger distribution. What makes the properties of small artifacts interesting is in the Cantor like dust that forms from Riemann zeta prime spacing in the product basis. The zeroes of the zeta are aligned and spaced also in an indicative pattern that resembles natural turbulence. The turbulent eddies, scattering, and mixing of photons is exactly reflected -- an isomorphism -- with the spacing of the prime numbers, thus indicating a zeta function distribution at the heart of CMB polarization.





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