The Origin of a Metric

2001/06/10 by B. G. Sidharth, Sidharth, B. G.
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Dynamics and Fractals #math.GM

paper · pdf · doi:10.48550/arxiv.math/0106069

4 pages, TeX

arxiv created 2001/06/10 · openalex publication_date 2001/06/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the context of earlier work, we investigate the emergence of a "distance" in the physical world. For this we consider a Cantor ternary like process, but much more general: properties like perfectness and disconnectedness are not invoked, but instead we deal with Borel sets. An interesting case from a physical point of view is considered: when the process is truncated.

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