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Symmetries and Metamorphoses
Symmetry ( IF 2.940 ) Pub Date : 2020-06-01 , DOI: 10.3390/sym12060907
Giuseppe Vitiello

In quantum field theory with spontaneous breakdown of symmetry, the invariance of the dynamics under continuous symmetry transformations manifests itself in observable ordered patterns with different symmetry properties. Such a dynamical rearrangement of symmetry describes, in well definite formal terms, metamorphosis processes. The coherence of the correlations generating order and self-similar fractal patterns plays a crucial role. The metamorphosis phenomenon is generated by the loss of infrared contributions in physical states and observables due to their localized nature. The dissipative dynamics and evolution, the arising of the arrow of time and entanglement are also discussed. The conclusions may be extended to biology and neuroscience and to some aspects of linguistics in the transition from syntax to semantics (generation of meanings).

中文翻译:

对称与变形

在对称性自发破坏的量子场论中,连续对称变换下动力学的不变性表现为具有不同对称性的可观察有序模式。这种对称的动态重排用非常明确的形式描述了变形过程。产生顺序和自相似分形模式的相关性的一致性起着至关重要的作用。变形现象是由于物理状态和可观测物的局部性质而导致红外贡献的损失而产生的。还讨论了耗散动力学和演化、时间之箭的出现和纠缠。结论可以扩展到生物学和神经科学以及语言学从句法到语义(意义的产生)过渡的某些方面。
更新日期:2020-06-01
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