中文

Strings from Logic

高能物理 - 理论 2016-09-06 v1 统计力学 广义相对论与量子宇宙学 数学物理 逻辑 math.MP 计算物理 量子物理

摘要

What are strings made of? The possibility is discussed that strings are purely mathematical objects, made of logical axioms. More precisely, proofs in simple logical calculi are represented by graphs that can be interpreted as the Feynman diagrams of certain large-N field theories. Each vertex represents an axiom. Strings arise, because these large-N theories are dual to string theories. These ``logical quantum field theories'' map theorems into the space of functions of two parameters: N and the coupling constant. Undecidable theorems might be related to nonperturbative field theory effects.

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引用

@article{arxiv.hep-th/0011065,
  title  = {Strings from Logic},
  author = {Christof Schmidhuber},
  journal= {arXiv preprint arXiv:hep-th/0011065},
  year   = {2016}
}

备注

Talk, 19 pp, 7 figures