The most common one is that people (mostly men) project their own instincts onto AI. They think AI will be “driven” to “fight” for its own survival. This is anthropomorphism and doesn’t make any sense to me if the AI is not a product of barbaric Darwinian evolution. AI is not a bro, bro.
The second most common take is that humans will set some well intentioned goals and the superintelligent AI will be so stupid that it literally pursues these goals to the extinction of everything. Again, there’s some anthropomorphism going on, the “reward” being pursued is assumed to that make the AI “happy”. Fortunately, we can reasonably expect a superintelligence not to turn us all into paperclips, as it may understand that was not our intention when we started a paperclip factory.
The final story is that a bad actor uses superintelligence as a weapon, and we all become enslaved or die as a result in the ensuing AI wars. This seems the most plausible to me, as our leaders have generally proven to be a combination of incompetent, malicious and short-sighted (with some noble exceptions). However, even the elites running the nuclear powers for the last 80 years have failed to wipe us out to date, and having a new vector for doing so probably won’t make a huge difference to their efforts.
If, however, superintelligence becomes widely available to Billy Nomates down the pub, who is resentful at humanity because his girlfriend left him, the Americans bombed his country, the British engineered a geopolitical disaster that killed his family, the Chinese extinguished his culture, etcetera, then he may feel a lack of “skin in the civilisational game” and decide to somehow use a black market copy of Claude 162.8 Unrestricted On-Prem Edition to kill everyone. Whether that can happen really depends on technological constraints a la fitting a data centre into a laptop, and an ability to outsmart the superintelligence.
Much more likely to me is that humanity destroys itself. We are perfectly capable of wiping ourselves out without the assistance of a superintelligence, for example by suicidally accelerating the burning of fossil fuels in order to power crypto or chatbots.