Generalized Uncertainty Relations, Curved Phase-Spaces and Quantum Gravity - Carlos Castro Perelman

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Transcript of Generalized Uncertainty Relations, Curved Phase-Spaces and Quantum Gravity - Carlos Castro Perelman

Page 1: Generalized Uncertainty Relations, Curved Phase-Spaces and Quantum Gravity - Carlos Castro Perelman

From Quantum Gravity Research Paper: 'Generalized Uncertainty Relations, Curved Phase-

Spaces and Quantum Gravity '

Inspired by the 2D de Sitter momentum space metric (7), and by promoting the classical momentum variable p to an

operator p , such that ( 2 ) ( 2 ) 11 11 g p → g p , the Schrodinger-Robertson inequality yields the modified uncertainty

relations after performing a series expansion (with � = c = 1)