摘要翻译:
对称性在物理学中起着重要作用,尤其是自从上世纪上半叶E.Noether和H.Weyl的工作以来。在这里,我们通过回顾对称性的变化如何从概念上从经典物理转移到相对论物理和量子物理来简要回顾它们的作用。然后我们介绍了我们在生物学中正在进行的理论分析,并表明对称性在这一学科中扮演着与当前物理学中完全不同的角色。通过这种比较,我们强调对称性必须与守恒性和稳定性的关系来理解,正如理论中所表示的那样。我们假定,生物有机体在其组织的各个层次上的动力学并不是“仅仅”的过程,而是永久的(用我们的术语来说是扩展的)临界转变,因而是对称性的变化。在相对结构稳定性(或生存期)的范围内,变异性是这些转变的核心。
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英文标题:
《From Physics to Biology by Extending Criticality and Symmetry Breakings》
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作者:
Giuseppe Longo and Ma\"el Mont\'evil
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最新提交年份:
2012
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分类信息:
一级分类:Quantitative Biology 数量生物学
二级分类:Other Quantitative Biology 其他定量生物学
分类描述:Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要:
Symmetries play a major role in physics, in particular since the work by E. Noether and H. Weyl in the first half of last century. Herein, we briefly review their role by recalling how symmetry changes allow to conceptually move from classical to relativistic and quantum physics. We then introduce our ongoing theoretical analysis in biology and show that symmetries play a radically different role in this discipline, when compared to those in current physics. By this comparison, we stress that symmetries must be understood in relation to conservation and stability properties, as represented in the theories. We posit that the dynamics of biological organisms, in their various levels of organization, are not "just" processes, but permanent (extended, in our terminology) critical transitions and, thus, symmetry changes. Within the limits of a relative structural stability (or interval of viability), variability is at the core of these transitions.
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PDF链接:
https://arxiv.org/pdf/1103.1833