The 2012 apocalypse film features a premise that there are neutrinos from the sun that heat the Earth's core and thus leading to the end-of-the-world scenario.
Recently, a paper was published about dark stars - hypothetical objects that heat by the process of WIMP dark matter annihilation with itself instead of traditional nuclear fusion. Their formation relies on energy dissipation of dark matter by weak scattering on normal matter in a gas cloud, permitting its entrapment inside the cloud. When density reaches a critical limit, as the cloud tries to collapse into the star, the annihilation becomes frequent enough to prevent further collapse of the gas cloud preventing fusion. These stars are predicated to form only in regions with sufficient dark matter density, including the early universe and, possibly, centers of galaxies.
I propose to swap a debatable neutrino heating source from the film for a debatable dark matter annihilation heating source. Dark matter clumps inside the planet, close to its core, and then heats up, securing the end-of-the-world scenario.
The problem, there is not enough dark matter around the Earth.
So, the question is: How close Earth must be to Milky Way's center to undergo such a scenario?