No-Go Theorems for the 3D-space

3D-Space and the preferred basis cannot uniquely emerge from the quantum structure

Minimalist theories in which the only fundamental structures are the state vector and the hamiltonian, whether they assume branching or state vector reduction, various proposals based on decoherence, proposals that aim to describe everything by the quantum structure, and proposals that spacetime emerges from a purely quantum theory of gravity.In this article no-go theorems are given, showing that whenever such a candidate candidate structure exists and can distinguish among physically distinct states, infinitely many physically distinct structures of the same kind exist.These theorems affect all minimalist theories in which the only fundamental structures are the state vector and the hamiltonian, whether they assume branching or state vector reduction, in particular, the version of everett s interpretation coined by carroll and singh"mad-dog everettianism, various proposals based on decoherence, proposals that aim to describe everything by the quantum structure, and proposals that spacetime emerges from a purely quantum theory of gravity.