As you will most possibly know, a misreading of this paper by the media caused kind of a "panic" about how the Earth's inner core had stopped or even reversed its rotation and its "apocalyptic" effects, etc. When asked, I immediately knew that it wasn't possible ---by energetic reasons, to start with, and said it. I more-or-less thought that stopping the core relative to the mantle would need immense amounts of energy "appeared out of the blue" whose application would be truly apocalyptic ---basically, destroying the Earth. Which was and is obviously impossible.
Well, now I've been challenged to "prove it" by the usual you-know-whos and I'd like to calculate how much energy would be actually needed to stop the inner core rotation relative to the mantle, and its effects on the Earth. However, last time I went to school was to attend high school. I initially thought that a simple calculation of the rotational kinetic energy needed to deccelerate the inner core to zero would be enough, but I'm now realizing that it's possibly more complex than that ---and I'd still wouldn't know how to translate the results into "Earth destruction units".
So... please, can anyone help me?