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45 Of Symmetry and Broken Symmetry

  • J. A. Scott Kelso,
  • David A. Engstrøm

摘要

Symmetry comes from a very old Greek word. Its original, everyday meaning is “a harmonious agreement in dimensions; due proportion”. In the world of math and science, it has a more specific definition: “invariance of the form of an object or process under some transformation, like translation, reflection, rotation, scaling or time”. Symmetries are crucial in nature and our understanding of it, where they're used to classify patterns. Indeed, the squiggle sense of symmetry~broken symmetry is the essence of metastability, of your metastable mode. To understand why, first realize that the full scientific name of the Coordination Law model is "the extended or broken symmetry form of the HKB model”, the original model of Coordination Dynamics (CD) named after its architects, Haken, Kelso and Bunz.