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Abstract

Novel Symmetry and Symmetry-Breaking Induced Complexity in Cosmological Evolution †

by
Tom T. S. Chang
Kavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
†
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 11; https://doi.org/10.3390/proceedings2010011
Published: 3 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
Versions Notes
Scale-Running of the propagator coupling-constants can induce complexity phenomena [1] 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 [2]. Interesting explicit examples based on fractional calculus will be described to demonstrate this intriguing process [3]. This idea can easily be extended to a variety of dynamic and condensed matter systems.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Chang, T.T.S. An Introduction to Space Plasma Complexity; Cambridge University Press: New York, NY, USA, 2015. [Google Scholar]
  2. Chang, T.T.S. Complexity Induced Lifshitz Ordering with Multifractal Antiscreening/Screening (CILOMAS). Phys. Lett. A 2016, 380, 1566–1569. [Google Scholar] [CrossRef]
  3. Chang, T.T.S. Complexity Phenomena Induced by Novel Symmetry and Symmetry-Breakings with Antiscreening at Cosmological Scales—A Tutorial. Symmetry 2017, 9, 306. [Google Scholar] [CrossRef]

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MDPI and ACS Style

Chang, T.T.S. Novel Symmetry and Symmetry-Breaking Induced Complexity in Cosmological Evolution. Proceedings 2018, 2, 11. https://doi.org/10.3390/proceedings2010011

AMA Style

Chang TTS. Novel Symmetry and Symmetry-Breaking Induced Complexity in Cosmological Evolution. Proceedings. 2018; 2(1):11. https://doi.org/10.3390/proceedings2010011

Chicago/Turabian Style

Chang, Tom T. S. 2018. "Novel Symmetry and Symmetry-Breaking Induced Complexity in Cosmological Evolution" Proceedings 2, no. 1: 11. https://doi.org/10.3390/proceedings2010011

APA Style

Chang, T. T. S. (2018). Novel Symmetry and Symmetry-Breaking Induced Complexity in Cosmological Evolution. Proceedings, 2(1), 11. https://doi.org/10.3390/proceedings2010011

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