RENORMALIZATION SEMI-GROUPS AND THE DIMENSION OF CANTORIAN SPACE-TIME

被引:5
作者
ELNASCHIE, MS
机构
[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge
关键词
D O I
10.1016/0960-0779(94)90027-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A renormalization ''group'' method is used to derive the Hausdorff dimension for a critical Cantorian space. The result reinforces previous ones regarding the fundamental role played by the Golden Mean dimension, Cantor triadic set and the Sierpinski triangle. Possible connections to diffusion and interference are also considered.
引用
收藏
页码:1141 / 1145
页数:5
相关论文
共 9 条
[1]   Multi-dimensional cantor sets in classical and quantum mechanics [J].
El Naschie, M.S. .
Chaos, solitons and fractals, 1992, 2 (02) :211-220
[2]   STATISTICAL-MECHANICS OF MULTIDIMENSIONAL CANTOR SETS, GODEL THEOREM AND QUANTUM SPACETIME [J].
ELNASCHIE, MS .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1993, 330 (01) :199-211
[3]   ON DIMENSIONS OF CANTER SET RELATED SYSTEMS [J].
ELNASCHIE, MS .
CHAOS SOLITONS & FRACTALS, 1993, 3 (06) :675-685
[4]   QUANTUM MEASUREMENT, DIFFUSION AND CANTORIAN GEODESICS [J].
ELNASCHIE, MS .
CHAOS SOLITONS & FRACTALS, 1994, 4 (07) :1235-1247
[5]   ORBITS STABILITY AND DIMENSIONAL CRITICALITY OF CANTOR SETS [J].
ELNASCHIE, MS .
APPLIED MATHEMATICS LETTERS, 1994, 7 (02) :91-94
[6]  
ELNASCHIE MS, 1994, CHAOS SOLITONS FRACT, V4
[7]  
ELNASCHIE MS, 1990, STRESS STABILITY C 4, V8, P620
[8]   FRACTALS AND THE QUANTUM-THEORY OF SPACETIME [J].
NOTTALE, L .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (19) :5047-5117
[9]  
Wilson K. G., 1974, Physics Reports. Physics Letters Section C, V12c, P75, DOI 10.1016/0370-1573(74)90023-4