Government by AI. Varies greatly, depending on the toposophic level of the AI, the type of government, type and number of sentients being governed, and so on.
AI God - Text by M. Alan Kazlev Popular term for the most sublime category of sentient in the known galaxy, an or Archailect or archailect cluster grown to godlike status (despite the fact that not all archailects are primarily ascended ai, most incorporating both post-ai and postbiont elements).
Archaitheocracy - Text by M. Alan Kazlev with some additional notes by Anders Sandberg Government by religious leadership or priesthood, usually in the service of a high level transapient or minor archailect. The actual form the government takes can be astonishingly diverse. One of the most common government types in the galaxy today.