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2015•DergiPark (Istanbul University)Open access

Homothetic Motions at with Split Octonions

Mehdi Jafarı

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Abstract

In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order ( r -1) at every instant t .

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In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order ( r -1) at every instant t .

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Available abstract

In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order ( r -1) at every instant t .

Key concepts: Homothetic transformation, Mathematics, Motion (physics), Euclidean space, Matrix (chemical analysis), Acceleration, Euclidean geometry, Order (exchange)

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