18 citations · 88 across the 21 of their papers we have counts for
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hep-th2003★ 2 cited
Fluctuating Commutative Geometry
Luiz C. de Albuquerque, Jorge L. deLyra, Paulo Teotonio-Sobrinho
We use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consid…
hep-th2003★ 7 cited
Fluctuating Dimension in a Discrete Model for Quantum Gravity Based on the Spectral Principle
Luiz C. de Albuquerque, Jorge L. deLyra, Paulo Teotonio-Sobrinho
The spectral principle of Connes and Chamseddine is used as a starting point to define a discrete model for Euclidean quantum gravity. Instead of summing over ordinary geometries,…