The characteristics and the relative conservation rules of the environment time-space with periodic symmetry

In this work, we have put forward the conservation of generalized parity concerning the environment time-space, which involves the main points listed as follows: first, corresponding to the environment space with periodic symmetry the invariant is space-parity. Especially, for periodic translation the corresponding invariant is wave-parity. If the space periodic length approaches zero, the conservation of wave-parity will transform to the conservation of momentum. Second, corresponding to the environment time with periodic length the invariant is frequency-parity. If the time periodic length approaches zero, the conservation of frequency parity will transform to the conservation of energy. Third, for the environment time-space, if the time-space periodic length is very small but not null, we can get the formulae ΔEΔt≥h and ΔPΔx≥h, which are similar to the uncertainty principle. Finally, for an environment time-space with the measurable periodic length, we have analyzed the relative conservation rules.