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arXiv 1502.05293physics.gen-ph
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八元引力电磁与暗物质

Octonionic Gravi-electromagnetism and Dark Matter

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

摘要:

本文试图分析八元数在各种与双子和暗物质有关的统一场论中的作用。本文从分裂八元数代数及其性质出发,讨论了SU(2)?SU(3)X?SU(2)?XU(1)大统一理论。将八元数八维空间描述为两个四元数空间(即与电磁相互作用(EM-空间)和线性引力相互作用(G-空间)相联系的空间)的组合,我们用八元数分裂表述以一致的方式重新考察了EM-G空间的统一图景。从而得到了统一重力-电磁相互作用的各种场方程。此外,我们还用分裂八元数重建了热、冷暗物质的场方程。结果表明,八元数冷暗物质(OCDM)和八元数热暗物质(OHDM)在结构形成上的差异是显著的,因为八元数热暗物质的速度使其在小尺度上擦除结构。

英文摘要:

An attempt has been made to analyse the the role of octonions in various unified field theories associated with dyons and the dark matter. Starting with the split octonion al- gebra and its properties, we have discussed the octonionic unified gauge formulation for SU(2) ?X U(1) electroweak theory and SU(3) X? SU(2) ?X U(1) grand unified theory. De- scribing 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 oc- tonionic split formulation in consistent manner. Consequently, we have obtained the various field equations for unified gravi-electromagnetic interactions. Furthermore, we have recon- structed the field equations of hot and cold dark matter in terms of split octonions. It is shown that the difference between the octonion cold dark matter (OCDM) and the octonion hot dark matter (OHDM) is significant in the formulating of structure of these two, because the velocities of octonion hot dark matter cause it to wipe out structure on small scales.

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