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Note: The odds against this actually ever occurring are considerably greater than a googolplex to one.Failing this, some kind of arcane (read: scientifically laughable) probability-manipulation device may be employed. You will need: a stable strangelet Method: Hijack control of the Relativistic Heavy Ion Collider in Brookhaven National Laboratory, Long Island, N. Use the RHIC to create and maintain a stable strangelet.Keep it stable for as long as it takes to absorb the entire Earth into a mass of strange quarks.
Alternate methods for boosting the material into space include loading the extracted material into space shuttles or taking it up via space elevator. But if you have the technology to build a Dyson sphere, why are you reading this? Indeed, what with all the gunk left in orbit, on the moon and heading out into space, we already have done. At a billion tons of mass driven out of the Earth's gravity well per second: 189,000,000 years.Then you just need to wait, while it sits and consumes matter until the whole Earth is gone. Source: "The Dark Side Of The Sun," by Terry Pratchett.It is true that the microscopic black hole idea is an age-old science fiction mainstay which predates Pratchett by a long time, he was my original source for the idea, so that's what I'm putting.You will need: 2,500,000,000,000 tons of antimatter Antimatter - the most explosive substance possible - can be manufactured in small quantities using any large particle accelerator, but this will take some considerable time to produce the required amounts.
If you can create the appropriate machinery, it may be possible - and much easier - simply to "flip" 2.5 trillion tons of matter through a fourth dimension, turning it all to antimatter at once.
You've heard people on the news claiming that the next nuclear war or cutting down rainforests or persisting in releasing hideous quantities of pollution into the atmosphere threatens to end the world. It has taken more devastating asteroid hits in its lifetime than you've had hot dinners, and lo, it still orbits merrily.