[Special Relativity Theory In Terms Of Mathematics]

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Acknowledgement

I would take this opportunity to thank my research supervisor, family and friends for their support and guidance without which this research would not have been possible (Superheater, 2005,, 36).

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I, [type your full first names and surname here], declare that the contents of this dissertation/thesis represent my own unaided work, and that the dissertation/thesis has not previously been submitted for academic examination towards any qualification. Furthermore, it represents my own opinions and not necessarily those of the University (Superheater, 2005,, 36).

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Abstract

Special relativity theory is in many very different mathematical Representations treat. As a didactically sound and mathematically very clear Approach has the use of Dirac matrices as basis vectors of the vier-dimensional space-time shown. In a seminar-course on physics for mathematicians from the Beuth- University of Berlin, was chosen this approach to the relativistic mechanics introduce. It turns out that this approach among the students a comprehensive understanding of the Properties of three-dimensional space in comparison to those of four-dimensional Space-time can be developed. In addition, the particular aim of this course, with students and students the thinking and practices of scientific knowledge production and Modeling examples to understand, in this way in the Special Theory of Relativity learners in a better way to reach.

Table of Contents

ABSTRACT1

INTRODUCTION3

THE GEOMETRIC ALGEBRA IN HIGH SCHOOL TEACHING4

ZENTRALER APPROACH OF GEOMETRIC ALGEBRA6

OPERATIONEN IN GEOMETRIC ALGEBRA7

ROTATIONEN IN GEOMETRIC ALGEBRA10

REFLECTION AND ROTATIONS IN SPACE-TIME11

RELATIVITY THEORIES IN SCHOOLS AND UNIVERSITIES14

REFERENCES21

Special Relativity Theory In Terms Of Mathematics

Introduction

Special relativity theory space associated and time in subtle and fascinating at the same time Way. Depending on the angle and relative speed speed appear to our world, the chip- Nenden sizes and thus constituting one as a space, another time as a time. How can on rotation space into time and time be transformed in space, is one of the possible Ways of speaking. But the connections are in further analysis or sophisticated. In a circular motion takes the first coordinate size ¦ x ¦ magnitude, whereas the other coordinate ¦ y ¦ size increases in terms of magnitude: at a spatial Chen rotation, the coordinates x and y 90 ° phase shifted.

But the link between space-to Ukraine mensions of our world (and therefore useful in- enough, so is our world in the descriptive Special relativity theory) is not Euclidean: Space is not transformed in time, but Space is even more space and additional time transformed. In a Lorentz transformation takes both the magnitude of the spatial coordinate ¦ x ¦ and the same amount of time co- ¦ y¦ ordinate t to. Or both take place simultaneously. Depending on the angle and relative speed "Have" to "see", "feel" or we measure much Space and time or a little space and little time.

These relationships and the whole-Gedankenge buildings of special relativity theory can be However, in many, very different and especially different priorities-setting mathematical representations treat. In this Contribution is the mathematics of Geometric Al- algebra G 3 (And that is also the Pauli-Algebra, the Clifford algebra C l 3,0 That Biquaternionen- algebra ...