从柏拉图到超世界的空间与对称性概念史
This book presents the author’s personal historical perspective and conceptual analysis on symmetry and geometry. The author enlightens with modern views the historical process which led to the contemporary vision of space and symmetry that are used in theoretical physics and in particular in such abstract and advanced descriptions of the physical world as those provided by supergravity. The book is written intertwining storytelling and philosophical argumentation with some essential technical material. The author argues that symmetry and geometry are inextricably entangled and their current meaning is the result of a long process of abstraction which was determined through history and can be understood within the analytic system of thought of western civilization that started with the Ancient Greeks. The evolution of geometry and symmetry theory in the last forty years has been deeply and constructively influenced by supersymmetry/supergravity and the allied constructions of strings and branes. Further advances in theoretical physics cannot be based simply on the Galilean method of interrogating nature and then formulating a testable theory to explain the observed phenomena. One ought to interrogate human thought, meaning frontier-line mathematics concerned with geometry and symmetry in order to find there the threads of so far unobserved correspondences, reinterpretations and renewed conceptions.
这本书呈现了作者关于对称性和几何学的个人历史视角和概念分析。作者以现代观点启迪了从过去的历史过程，从而引出当前在理论物理学中使用的空间和对称性的观念，这些观念也出现在诸如超引力等抽象且高级的世界描述之中。本书通过交织讲故事与哲学论辩，并结合一些关键的技术性材料来进行写作。作者认为对称性和几何学之间是不可分割的联系，而它们目前的意义就是由于历史上的抽象化过程所决定，并且可以在以西方文明中的古希腊思想体系为开端的分析式思维方式中理解。最近四十年来几何学和对称性理论的发展深受超对称/超引力以及弦和膜等相关构造的影响。理论物理学领域的进一步进步不能简单基于伽利略探究自然的方法，然后提出一个可验证的理论以解释所观察到的现象。应当深入探讨人类思想，即关注几何与对称的世界前沿数学领域，以便在那里发现过去未被观察到的相关性、重释和新的理解。
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