Yeah, his logic falls apart entirely at the end, not that there was much there to begin with.
I'm not much of a geologist and I'll be the first to admit it. However, this theory still doesn't make sense. If the Earth is expanding at the rate he claims, then there would have to be either a large increase in mass or a similarly large decrease in density. An increase in mass would require a very large source or matter pouring into the Earth, which just isn't feasible while maintaining an environment hospitable to life. A decrease in volume runs counter to our current understanding of physics, since it would require a massive force to counter-act gravity. Also, as the Earth continued to expand (and again, assuming the same mass) the gravitational force on the surface would diminish. If the Earth were still expanding, then Galileo's observation that objects fall at a rate of ~9.8 m/s^2 in the 16th century should no longer be valid over 400 years later.
I'd also think that if the Earth were expanding and decreasing in volume as a consequence there'd be no reason for it to retain a spheroid shape. The Earth is round because that's the shape that allows it to achieve the highest possible density, thus it's a result of the gravitational pull. Without the constant exertion of gravitational forces to retain that spheroid shape, other forces would quickly cause the Earth to become irregular and, eventually, break apart.
In other words, if this guy is right either all science as we understand it is wrong or we're all doomed when the Earth hits the critical point where it's gravity is no longer sufficient to keep it coherent and explodes. While an exploding Earth does make for a nice visual, I won't be losing any sleep.
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I wake up in the morning more tired than before I slept
I get through cryin' and I'm sadder than before I wept
I get through thinkin' now, and the thoughts have left my head
I get through speakin' and I can't remember, not a word that I said
- Ben Harper, Show Me A Little Shame
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