Trans-Coordinate States

A trans-coordinate physics is introduced in a previous paper. It is found that the trans-coordinate state of a system cannot be defined along a plane in Minkowski space, so a new non-planar definition of state is proposed in which the notion of simultaneity does not exist. In relativity theory simultaneity is relative. In trans-coordinate physics it is meaningless. The new state definition is illustrated in the case of a spin measurement of two spin correlated particles, where a superluminal collapse of the state is assumed to be of the Hellwig-Kraus variety. The historic revisions and causal loops that are commonly associated with this kind of collapse are completely avoided in this treatment. This state definition and collapse mechanism leads to an absolute ’causal’ priority among collapse events, and results in a unique Minkowski architecture. The Hamiltonian of a trans-coordinate state is proposed, and it is shown that the total square modulus of this new kind of state is conserved.