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Strings from Logic

High Energy Physics - Theory 2016-09-06 v1 Statistical Mechanics General Relativity and Quantum Cosmology Mathematical Physics Logic math.MP Computational Physics Quantum Physics

Abstract

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.

Keywords

Cite

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

Comments

Talk, 19 pp, 7 figures