Physical Review Letters · 2002 · 166 citations · 43 references
Natural SciencesPhysicsCosmologyQuantum MechanicsTheoretical PhysicsPhysical CosmologyQuantum DynamicsQuantum Field TheoryQuantum StatesQuantum TunnelingTheoretical CosmologyNoncommutative GeometryQuantum Wave FunctionTunneling EffectsWave Packets
We propose a model for noncommutative quantum cosmology by means of a deformation of minisuperspace. For the Kantowski-Sachs metric we are able to find the exact wave function. We construct wave packets and show that new quantum states that "compete" to be the most probable state appear, in clear contrast with the commutative case. A tunneling process could be possible among these states.
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String theory and noncommutative geometry
Journal of High Energy Physics · 1999 · 3.7K citations · Full text
String Theory and Noncommutative Geometry
1999 · 3.2K citations
T. Banks, Willy Fischler, Stephen H. Shenker et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1997 · 2.8K citations · Full text
Natural Sciences, Physics, Cosmology +12
Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports · 2010 · 2.3K citations