Background independent quantization and the uncertainty principle

Golam Mortuza Hossain; Sanjeev S. Seahra; Viqar Husain

Background independent quantization and the uncertainty principle

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arxiv 1003.2207 v1 pith:Y65V7IIM submitted 2010-03-10 gr-qc hep-thquant-ph

Golam Mortuza Hossain , Viqar Husain , Sanjeev S. Seahra This is my paper

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It is shown that polymer quantization leads to a modified uncertainty principle similar to that obtained from string theory and non-commutative geometry. When applied to quantum field theory on general background spacetimes, corrections to the uncertainty principle acquire a metric dependence. For Friedmann-Robertson-Walker cosmology this translates to a scale factor dependence which gives a large effect in the early universe.

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Bounded compactness from G(E)UP
gr-qc 2025-07 conditional novelty 6.0 of 10

The generalized uncertainty principle bounds the compactness of any object much heavier than the Planck mass by about 1/α, and the existence of black holes forces the GUP parameter to satisfy α ≲ 2.

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