An octonion model for physics
نویسنده
چکیده
The no-zero-divisor division algebra of highest possible dimension over the reals is taken as a model for various physical and mathematical phenomena mostly related to the Four Color Conjecture. A geometric form of associativity is the common thread.
منابع مشابه
Octonion Discrete Fourier Transform : Fast Algorithms
The color image from one of the color models, for instance the RGB model, can be transformed into the quaternion algebra and be represented as one quaternion image which allows to process simultaneously of all color components of the image. The color image can be also considered in different models with transformation to the octonion space with following processing in the 8-D frequency domain...
متن کاملThe transition from Pre Octonion to Octonion Gravity
The author asks if octonion quantum gravity is relevant near the Planck scale. Furthermore, the question is raised if gravitational waves would be generated during the initial phase, 0 , of the universe when an increase in degrees of freedom have in setting 0 , so that the result can be observed by a gravitational detector.. The well appreciated .quantum gravity problem that the notion of a...
متن کاملIntegral Octonions, Octonion XY-Product, and the Leech Lattice
The integral octonions arise from the octonion XY-product. A parallel is shown to exist with the quaternion Z-product. Connections to the laminated lattices in dimensions 4, 8, 16 and 24 (Leech) are developed.
متن کاملOctonion Song
The Octonions and their multiplication table, the Fano Plane, bear an isomorphic relationship to the Pythagorean music system, which this paper shows is not a coincidence. In fact, the Octonions vibrate at one stage during the formation of new particles, in what might be termed the Octonion Song. This explains why Octonion structure matches musical structure. This paper explains how this happen...
متن کاملSome Properties of Octonion and Quaternion Algebras
In 1988, J.R. Faulkner has given a procedure to construct an octonion algebra on a finite dimensional unitary alternative algebra of degree three over a field K. Here we use a similar procedure to get a quaternion algebra. Then we obtain some conditions for these octonion and quaternion algebras to be split or division algebras. Then we consider the implications of the found conditions to the u...
متن کامل