对偶的启发功能
The Heuristic Function of Duality
摘要:
我概念化对偶性在量子引力中的角色,根据它们在理论构建中的功能。我区分了二元性在物理实践中的两种功能:即发现和描述“等价物理”,与建议“新物理”。我称之为对偶的“理论”功能与“启发式”功能。这种区别在哲学文献中似乎基本上没有被注意到:它既存在于二元性中,也存在于更一般的理论等价关系中。本文发展了对偶的启发式功能:说明如何使用它们,如果有任何运气,发现和制定新的理论。我还指出了构成这两种功能基础的理论的不同物理承诺。我展示了如何最近开发的二元图式阐明了这两个功能之间的差异。
英文摘要:
I conceptualise the role of dualities in quantum gravity, in terms of their functions for theory construction. I distinguish between two functions of duality in physical practice: namely, discovering and describing 'equivalent physics', vs. suggesting 'new physics'. I dub these the 'theoretical' vs. the 'heuristic' functions of dualities. The distinction seems to have gone largely unnoticed in the philosophical literature: and it exists both for dualities, and for the more general relation of theoretical equivalence. The paper develops the heuristic function of dualities: illustrating how they can be used, if one has any luck, to find and formulate new theories. I also point to the different physical commitments about the theories in question that underlie these two functions. I show how a recently developed schema for dualities articulates the differences between the two functions.
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