Testing Isotropy of Cosmic Microwave Background Radiation

Understand

We introduce new symmetry-based methods to test for isotropy in cosmic microwave background radiation.

• Each angular multipole is factored into unique products of power eigenvectors, related multipoles and singular values that provide 2 new rotationally invariant measures mode by mode.
• The power entropy and directional entropy are new tests of randomness that are independent of the usual CMB power.
• Simulated galactic plane contamination is readily identified, and the new procedures mesh perfectly with linear transformations employed for windowed-sky analysis.