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A few other possibilities are:

- edge of punctuated equilibrium: we reach a Kardashev level and getting through it requires major breakthrough again - would produce a flattening increasing sigmoid zigzag

- slow catastrophe pending resource depletion outstripping rate of innovation or travel, very slowly reversing progress

- singularity immediately halting the progress - flat horizontal line - the Accelerando situation

- potential speciation or technological fragmentation where it stops to be useful to talk about a single progress




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