I don't think it would help. At least not with nitrobacter. I don't know nearly as much about nitrosomas (ammonia to nitrIte).
Nitrobacter is a gram negative bacteria that lives/grows in soil, and an essential part to the nitrogen cycle. It is the strain of bacteria that converts nitrIte into NitrAte. Being that it is adapted to work in soil, underground, away from light, I don't think you would see a huge benefit or measurably faster cycle by increasing the photo period. I think what you would see is an increase in algae growth, and the increased potential for more photo sensative bacteria, like cyanobacteria (Blue Green Algae). Of course, this is speculation on my part - while I am somewhat familiar with the nitrogen cycle as it applies to terrestial plants/ecosystems, I have limited experience cycling tanks, as I am currently cycling only my 2nd fish tank. Any of the more experienced folks have differing opinions?
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