皮亚诺公理
数学
熵(时间箭头)
纯数学
离散数学
物理
热力学
标识
DOI:10.1016/0960-0779(93)90018-v
摘要
Abstract Several approaches for characterizing the internal structure of infinite point sets and determining a corresponding average dimension are outlined. Possible relevance to the discretization problem of quantum space-time are discussed. Finally a method for determining the average internal distance between different Cantor points is proposed. Our main conclusion is that Cantorian space-time is based on an average Cantorian distance ≅ 0.629 while the smooth space-time is retrieved when → 0.5 which means d(O)c tends towards the average distance of a continuous smooth line at vanishing resolution when space is viewed from afar, at a very large scale.
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