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Toward Local Madelung Mechanics In Spacetime, Mordecai Waegell
Toward Local Madelung Mechanics In Spacetime, Mordecai Waegell
Mathematics, Physics, and Computer Science Faculty Articles and Research
It has recently been shown that relativistic quantum theory leads to a local interpretation of quantum mechanics wherein the universal wavefunction in configuration space is entirely replaced with an ensemble of local fluid equations in spacetime. For want of a fully relativistic quantum fluid treatment, we develop a model using the nonrelativistic Madelung equations, and obtain conditions for them to be local in spacetime. Every particle in the Madelung fluid is equally real, and has a definite position, momentum, kinetic energy, and potential energy. These are obtained by defining quantum momentum and kinetic energy densities for the fluid and separating …