High Energy Particle Physics


Algebraic Interpretation of Octonion Dark Matter

Authors: V.K.Sharma, B.C.Chanyal, O.P.S.Negi

The vast majority of the dark matter in the universe is believed to be nonbaryonic, which means that it contains no atoms and does not interact with ordinary matter via electromagnetic forces. The nonbaryonic dark matter includes neutrinos, and possibly hypothetical entities such as axions, or supersymmetric particles. Unlike baryonic dark matter, nonbaryonic dark matter does not contribute to the formation of the elements in the early universe (big bang nucleosynthesis) and so its presence is revealed only via its gravitational attraction. The nonbaryonic dark matter is evident through its gravitational effect only. There are two type of nonbaryonic dark matter respectively defined as hot dark matter and cold dark matter. For the existence of nonbaryonic dark matter in this universe we can used the higher dimensional division algebra. There exists four normed division algebras: the real numbers, complex numbers, quaternions, and octonions. Since, the octonions are the last division algebra, so we can easily described the octonion space as the combination of two quaternionic spaces namely gravitational G-space and electromagnetic EM-space. Thus, describing the octonion eight dimensional space as the combination of two quaternionic spaces (namely associated with the electromagnetic interaction (EM-space) and linear gravitational interaction (G-space)), we have reexamined the unified picture of EM-G space in terms of octonionic formulation in consistent manner. Consequently, we have obtained the fundamental components of angular momentum and torque for unified theory of gravi- electromagnetism. After that we relate these components in terms of octonionic dark matter and dark energy. In this formulation, it should be noted that the unified octonionic rotation energies in terms of angular momentum and torque will be responsible for the existence of dark matter and dark energy in this universe.

Comments: 5 Pages.

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[v1] 2016-12-25 10:17:53

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