As you can imagine, there are many considerations when comparing output across studies, for example, the role of LULUCF, other gases, the start / stop year
of accumulating emissions, and probabilities of achieving various temperature goals.
What is your definition for: Adaptable, Dangerous, and Apocalyptic (extinction of humanity) in terms of peak emissions (ppm CO2) and
accumulated emissions (in Gt CO2 and C)?
FWIW, as far as I'm concerned, based on your definition of emergency («
accumulated emissions, gathering positive feedbacks, and operational fossil fuel infrastructure, have pushed the level of risk to heights that no sane person would contemplate... further delay would have such drastic impacts that the world would be unrecognisable afterwards and organised human society difficult if not impossible») anthropogenic global warming has obviously been an emergency for decades.