There are some plants that do need a rest cycle. Apparently peppers aren't one of them. See, from biology everyone knows plants need "light" and "dark" reactions to live. Well, the "dark" reactions really don't necessarily require darkness, they just don't require light(photoindependent). There are different classifications of plants, c3, c4, CAM, etc. Peppers i believe, like most plants, are c3 plants, which do not need dark period to complete photosynthesis(refer to below)
Some plants need dark periods for reasons other than simply survival. Some plants require certain amount of darkness to flower, others only take in co2 in the dark, like cactus & other succulents. However, a lot of plants will grow at peak potential under 24 hour light. So far, the peppers appear to be fine, and even have began to try and flower, so they obviously aren't photoperiod dependent for their flowering. I'm gonna keep the lights on 24/7 until they seem to be hurting, I'll let yall know how it turns out.
Excerpt from (
http://ag.arizona.edu/pubs/garden/mg/botany/physiology.html)
Dark Reaction:
This part of the photosynthetic process is also called the Calvin Cycle. With one cycle of this reaction 3 carbon atoms are fixed or placed in a sugar molecule. This pathway is called C-3 photosynthesis. This is the way that most dicots or broadleaf plants make sugars during the dark reaction. C-3 photosynthesis has a disadvantage though. Oxygen competes with CO 2 for a binding site during the dark reaction. Sometimes sugars are not formed, but energy is still expended to complete the cycle. This is called photorespiration.
Another dark reaction pathway is called C-4 photosynthesis because 4 carbons are fixed or placed in a sugar molecule each time the cycle is completed. The dark reaction of C-4 photosynthesis occurs inside of specialized parts of leaf cells in the leaf called the bundle sheath, which exclude the presence of O2. Because there is no oxygen present photorespiration does not occur. The C-4 photosynthetic pathway is what occurs in most monocots or grasses. This is a more efficient pathway and allows grasses to grow faster than broadleaf plants. Crassulacean acid metabolism or CAM photosynthesis is the dark reaction type found in many cactus, succulents, bromeliads, and orchids as well as a few other plants. CAM photosynthesis is similar to C-4 photosynthesis. However, CAM plants open their stomata only during the night to collect CO2, when air temperatures are cooler, thus conserving water because of reduced transpiration. The CO2 is converted into malic acid and then converted back to CO2 during the day when light is present, thus producing sugars, while the stomata are closed and greatly reducing water loss.