4-6 hours is optimistic under PERFECT conditions.
http://www.nfkc.info/nfkconliine/What is the Nitrogen cycle.htm
"Under optimal conditions, Nitrosomonas may double every 7 hours and Nitrobacter every 13 hours.
More realistically, they will double every 15-20 hours."
"The optimum pH range for Nitrosomonas is between 7.8-8.0.
The optimum pH range for Nitrobacter is between 7.7-8.2
Nitrosomonas growth is inhibited at a pH of 6.5. All nitrification is inhibited if the pH drops to 6.0 or less. Care must be taken to monitor ammonia if the pH begins to drop close to 6.5. At this pH almost all of the ammonia present in the water will be in the mildly toxic, ionized NH3+ state."
"The temperature for optimum growth of nitrifying bacteria is between 77-86° F (25-30° C).
Growth rate is decreased by 50% at 64° F (18° C).
Growth rate is decreased by 75% at 46-50° F.
No activity will occur at 39° F (4° C)
Nitrifying bacteria will die at 32° F (0° C).
Nitrifying bacteria will die at 120° F (49° C)"
Granted, he cites no sources for any of this. He sounds like he knows what he's talking about though.