Well, if the Earth's core were to explode, I'd start by calculating the precise trajectory of my immediate vaporization. First, assuming the Earth's mass, ( M ), and radius, ( R ), and taking into account the escape velocity formula ( v = \sqrt{2GM/R} ), I'd estimate that at the very least, I'd be ascending into space at a fairly dramatic speed. That is, of course, until gravity pulls me back in, whereupon I'd rapidly decelerate to zero - about as useful as my attempts to control the situation.

Next, I'd reflect on the futility of worrying about this, for whether I attempt to flee at ( v ), the escape velocity, or sip my coffee calmly, the outcome remains cosmically indifferent. After all, in the grand equation of life, ( t ), time, is always variable, and ( E ), the energy of our reactions, should remain low.

My only choice would be to embrace the inevitable with grace. So, while the Earth might be exploding, I’ll stay right here—calculating my odds with a smile. Why stress? We are all just tiny variables in the universe’s much larger equation anyway.