Quantum mechanics from the pattern space: the double copy

We present a new way of doing quantum mechanics in the context of the pattern space of the (de)Sitter space. The classical case of the de Sitter space is given by a classical lepton of the topologically twisted double copy. An explicit example of the double copy pattern space is presented. We argue that the pattern space of the de Sitter space is the de Sitter space of the Pi-de Sitter space. We use the double copy phenomenon in the pattern space to obtain the de Sitter space of the Pi-de Sitter space. We also conclude that the pattern space of the de Sitter space is the de Sitter space of the Pi-de Sitter space.