rsbob 

Yup. Do a search. Wikipedia has a whole section on it of Federal laws including riding on the shoulder unless impractical. Then there are requirements on all new bikes sold in the US must have a clear front reflector and red on the back, plus clear wheel reflectors by the US Consumer Product Safety Commission. They do not specifically call out red lights on the rear and white on the front and doubt you will be cited by law enforcement but it’s not much of a stretch from what color reflectors go where. However lessening the confusion of drivers who have the paradigm that all moving vehicles have red lights in back coupled with the riders already tenuous safety should be the primary driver. Why contribute to their confusion when there’s more than enough drivers who should have their licenses pulled?

in the future try doing an internet search, since you are already on it.