6 papers
Disappearance of the Measurement Paradox in a Metaplectic Extension of Quantum Dynamics
Daniel I. Fivel
It is shown that Schrodinger dynamics can be embedded in a larger dynamical theory which extends its symmetry group from the unitary group to the full metaplectic group, i.e. the g…
How a Quantum Theory Based on Generalized Coherent States Resolves the EPR and Measurement Problems
Daniel I. Fivel
It is shown that the quantum theory can be formulated on homogeneous spaces of generalized coherent states in a manner that accounts for interference, entanglement, and the lineari…
An Indication From the Magnitude of CP Violations that Gravitation is a Possible Cause of Wave-Function Collapse
Daniel I. Fivel
We consider experimental evidence for the hypothesis that the Planck energy, , sets the scale at which wave function collapse causes deviations from lin…
The prime factorization property of entangled quantum states
Daniel I. Fivel
Completely entangled quantum states are shown to factorize into tensor products of entangled states whose dimensions are powers of prime numbers. The entangled states of each prime…
Proof of the Impossibility of Non-Contextual Hidden Variables in All Hilbert Space Dimensions
Daniel I. Fivel
It is shown that the algebraic structure of finite Heisenberg groups associated with the tensor product of two Hilbert spaces leads to a simple demonstration valid in all Hilbert s…
Implications of an Ambiguity in J.S. Bell's Analysis of the Einstein-Podolsky-Rosen Problem
Daniel I. Fivel
An ambiguity is pointed out in J.S. Bell's argument that the distinction between quantum mechanics and hidden variable theories cannot be found in the behavior of single-particle b…