Branching polymers, knot theory and Cantorian spacetime

被引：10

作者：

El Naschie, MS ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England

来源：

CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 1-3期

关键词：

D O I：

10.1016/S0960-0779(98)00092-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Within the framework of classical statistical mechanics, we draw some nontrivial connections and analogies between the Bethe model B and quantum physics in Cantorian spacetime E-(infinity) as well as between knot theory, noncommutative geometry, four manifolds, quasicrystals and E-(infinity). In particular, we show that E-(infinity) and B space, although formally infinite-dimensional acid appearing to be so, effectively have a finite Hausdorff dimension, d = 4 + phi(3), where phi(3) = [(root 5 - I)2](3) which is a PV number with the continuous fracture representation [d] = ((4) over bar)(-1). (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：453 / 463

页数：11