Quantum Equivalence Principle In A Universal Hilbert Space

Michael York

We propose a unifying quantum framework in which Einstein’s equivalence principle is generalized to a universal Hilbert space in which all interaction is treated as a generalization of a frame transformation and represented by a change of basis. In our scheme intrinsic information is carried by a physical system independently of any frame of reference (or basis). A classical observer imposes a frame of reference in which that intrinsic information is expressed in terms of an observer-dependent basis (now including space-time information). This is in contrast to the usual description in which a frame transformation is treated as a unitary operation on a state vector in a restricted Hilbert space. At the level of non-interactive QM the two treatments are equivalent. It is when we consider interaction that the difference becomes clear. Full text

 

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