Originally Posted by Moose
You can't use a spring loaded tensioner because when you apply backward force to the pedals, an inevitability on a fixed, the tensioner will give way and the chain will go slack above the chainring and cog. This can end up bad in many ways. The simple answer is you cannot use a spring loaded tensioner reliably on a fixed gear bike regardless of the direction it pushes the chain.
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That's funny, because it works perfectly in the real world.