In general, the semicolon is used in place of a period in order to emphasize the close relationship of the two sentences. That means that what follows must be a complete sentence, which the second part in your example is not. I'm inclined to suggest that you are trying to put too much in one sentence and that it would be better to re-work the second part to make it a complete,separate sentence.
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However, non-significant results for the four hypotheses may direct attention towards the competing biochemical account, specifically that the coal fusion chambers contribute to the production of high octane countach fuel.
but I also feel that a comma after "account" makes things drag on. I don't think that the sentence is too long,