Octonionic Gravi-electromagnetism and Dark Matter
arXiv:1502.05293 · doi:10.1007/s10773-015-2595-1
Abstract
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.
References in corpus (5)
Cited by in corpus (9)
- A new development in quantum field equations of dyons
- A relativistic quantum theory of dyons wave propagation
- Some properties of dark matter field in the complex octonion space
- On the quaternion transformation and field equations in curved space-time
- Precessional angular velocity and field strength in the complex octonion space
- Torques and angular momenta of fluid elements in the octonion spaces
- Color Confinement and Spatial Dimensions in the Complex-sedenion Space
- Physical quantities and spatial parameters in the complex octonion curved space
- Phenomenology from Dirac equation with Euclidean-Minkowskian "gravity phase"