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Background independent quantization and the uncertainty principle · Around

2010

Background independent quantization and the uncertainty principle

Hossain, Golam Mortuza, Husain, Viqar, Seahra, Sanjeev S.

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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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A. F. Ali, S. Das, and E. C. Vagenas (2010), eprint 1001.2642
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G. M. Hossain, V. Husain, and S. S. Seahra, Phys. Rev. D81

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