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'Topological parallel world' constructed by modification of space-time along observables

2004/09/22 by Eiji Ogasa, Ogasa, Eiji
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Geometric and Algebraic Topology #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0409225

6pages

arxiv created 2004/09/22 · openalex publication_date 2004/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a new concept, `(topological) (vacuum) parallel world, ' which is a new tool to research submanifolds. Roughly speaking, `Observables in (T)QFT' is equal to `a (topological) modification of space-time.' In other words, we give a new interpretation of observables. We give some examples associated with the Alexander polynomial, the Jones polynomial.

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