Novel symmetry and symmetry-breaking induced complexity in cosmological evolution

Abstract

Scale-Running of the propagator coupling-constants can induce complexity phenomena involving novel symmetries and symmetry-breakings with antiscreening/screening effects. In the context of cosmological evolution, such effects can yield new insights with dark matter consequences. Starting from the nonperturbative, one-particle irreducible renormalization-group differential generator for coarse-graining transformations involving intrinsic fluctuations, such Lifshitz-like complexity may be demonstrated analytically for the crossover phenomenon involving commensurate and incommensurate ordered states in gravitational evolution at large scales. Interesting explicit examples based on fractional calculus will be described to demonstrate this intriguing process. This idea can easily be extended to a variety of dynamic and condensed matter systems. ©2017 Paper presented at Symmetry 2017: the First International Conference on Symmetry, Oct. 16-18, 2017, Barcelona, Spain.