Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers

被引：24

作者：

Paul Fjelstad

Sorin G. Gal

机构：

[1] University of Oradea,Department of Mathematics

来源：

Advances in Applied Clifford Algebras | 2001年 / 11卷 / 1期

关键词：

Lorentz Group; Timelike Vector; Dual Complex; Newtonian Physic; Euclidean Topology;

D O I：

10.1007/BF03042040

中图分类号：

学科分类号：

摘要：

In the recent monograph [8], G.L. Naber provides an interesting introduction to the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics.

引用

页码：81 / 107

页数：26

共 11 条

[1]

Brehme R. W.(1988)On the physical reality of the isotropic speed of light Am. J. Phys. 56 811-814

[2]

Capelli P.(1941)Sur le nombre complexe binaire Bull. Amer. Math. Soc. 47 585-595

[3]

Fjelstad P.(1986)Extending relativity via the perplex numbers Am. J. Phys. 54 416-422

[4]

Fjelstad P.(1998)-dimensional hyperbolic complex numbers Advances in Applied Clifford Algebras 8 47-68

[5]

Gal S. G.(1976)A new topology for curved space time which incorporates the causal, differential and conformal structures J. Math. Phys. 17 174-181

[6]

Hawking S. W.(1977)Causal theories of time and the conventionality of simultaneity Nous 11 293-300

[7]

King A. R.(1954)A theory of functions of a hypercomplex variable in the space with three dimensions (in Romanian) Stud. Cerc. Matem. 5 361-401

[8]

McCarthy P. J.(1988)Ether and the one-way speed of light Am. J. Phys. 56 814-814

[9]

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[10]

Rosculet M.(undefined)undefined undefined undefined undefined-undefined

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