Complex
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A dramatic simplification of the mathematical apparatus (no tensors) for Einstein's special relativity theory is presented. For this goal some simple application of complex numbers calculus is introduced in a specific manner, possibly overlooked in literature. This way of the proceeding was initiated by introducing a trigonometric representation of the Lorentz transformation. One more step from this representation yields complex (number) extension of the real Lorentz transform, so that the space-time Minkowski model M4 is extended to the complex and Euclidean model C4 and then the later is…mehr

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Produktbeschreibung
A dramatic simplification of the mathematical apparatus (no tensors) for Einstein's special relativity theory is presented. For this goal some simple application of complex numbers calculus is introduced in a specific manner, possibly overlooked in literature. This way of the proceeding was initiated by introducing a trigonometric representation of the Lorentz transformation. One more step from this representation yields complex (number) extension of the real Lorentz transform, so that the space-time Minkowski model M4 is extended to the complex and Euclidean model C4 and then the later is reduced to the complex C3 time free "para-space" model. All the Einstein's special relativity facts are preserved with the models transition. However, in the new framework, many "difficult facts" of the relativity theory, between others time dilation, Lorentz contraction, universality of speed of light and other find their mathematical explanations. This was possible since nice (and exact !) relation between Einsteinian and Newtonian theories was exhibited in the new complex model.
Autorenporträt
I was born in Poland in 1947. I got master degree of mathematics from Warsaw University in 1972 and Doctor degree in technical sciences from Polish Academy of Sciences in 1979. I emigrated to USA in 1982. I was teaching math courses in 2 universities and 2 colleges. Recently at Oakton Community College. Also I do research, mostly in Applied Math.