Abstract
In this paper, we study the honeycombs of the relativistic velocities space using the fact that this space has a hyperbolic space structure. For the three-dimensional case there are only four of these honeycombs with bounded cells and, since in this space there is a characteristic length, the cells have a fixed size. This fact, strongly limit the possible relative velocities between the vertices of the honeycombs. We consider as a possible application to cosmology the interpretation of these honeycombs as discrete large scale mass distribution.
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Partially supported by the Spanish DGICYT Research Grant PB97-1080.
Partially supported by the Spanish DGICYT Research Grant PB97-1095.
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Criado, C., Alamo, N. Relativistic Kinematic Honeycombs. Foundations of Physics Letters 15, 345–358 (2002). https://doi.org/10.1023/A:1021264527657
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DOI: https://doi.org/10.1023/A:1021264527657