Overview of SemicolonHater

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How I completed my PhD in 7 months!
S

Just kidding, sorry about the misleading title, and the post that follows. I've asked this in several places around the net and haven't been able to get a helpful response, so I was wondering if any of you wonderful people could help me. (please click back on your browser right now if you don't want to read garbage from some kid with a sentence problem).

My paper reads:

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.

Is this correct usage of the semicolon?

I feel that a new sentence would break the flow, but I also feel that a comma after "account" makes things drag on.

Sorry If I've missed the correct forum/subforum for this, I had a quick search and this seemed most appropriate.