Background independent quantization and the uncertainty principle

TL;DR

This paper demonstrates that polymer quantization modifies the uncertainty principle in a way similar to string theory, with significant implications for early universe cosmology due to metric-dependent corrections.

Contribution

It introduces a background independent quantization approach that results in a modified, metric-dependent uncertainty principle relevant to quantum field theory in curved spacetime.

Findings

Polymer quantization yields a modified uncertainty principle.

Corrections depend on the spacetime metric, especially the scale factor.

Large effects are predicted in the early universe.

Abstract

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.