Furthermore, the double complex symmetric gravitational action in the double noncommutative spacetime can be constructed by extending the double complex coordinates to the double noncommutative relation satisfied and by doubling the Moyal star product.

• 同时，通过将二重复坐标推广到满足二重非对易关系以及Moyal星积的二重化，构造出二重非交换复对称引力场作用量。