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math-ph2008★ 15 cited
Phase space quantization and Loop Quantum Cosmology: A Wigner function for the Bohr-compactified real line
Christopher J. Fewster, Hanno Sahlmann
We give a definition for the Wigner function for quantum mechanics on the Bohr compactification of the real line and prove a number of simple consequences of this definition. We th…
gr-qc2008★ 22 cited
A locally finite model for gravity
Gerard 't Hooft
Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet d…