In Banks' Culture universe, civilizations eventually face a choice: stay in material spacetime, or Sublime — leaving for higher compressed dimensions in a matter of days, completely and permanently. The Culture, despite being capable, has so far chosen to stay. At what Kardashev level does Subliming become the rational act?
| Earth (today) | K 0.72 · 0.004 Gyr | — |
| Culture (Banks) | K 2.9 · 10 Gyr | — |
| ωCen candidate | K ? · 11.5 Gyr | — |
The Sublimation Index here is a heuristic — not a physical model, but a way of asking the question Banks forces: at what point does staying material become irrational? The sigmoid function used weights Kardashev rating (energy control) against civilization age and compute density. High K, old age, and near-Bekenstein computation together push strongly toward Sublimation pressure.
The Culture sits at around 93% by this measure — deep in the "Sublimation Imminent" zone — yet has chosen to remain. Banks treats this as extraordinary. Most civilizations at that index have gone. For ωCen at 11–12 Gyr, even at modest Kardashev assumptions, the index exceeds 80% if any technological civilization arose there. The window for detecting them — if they Sublimed rather than transcended via MTH — closed billions of years ago. The question is whether the departure left any physical residue, and what that might look like.