A Critique on Some Aspects of GUP Effective Metric

Understand

The generalized uncertainty principle (GUP) is a gravitational correction of Heisenberg's uncertainty principle, which allows us to probe some features of quantum gravity even without the full theory.

• We are used to working with metric tensors in general relativity; they are convenient to have available when we wish to calculate physical quantities like Hawking temperature and black hole shadow.
• Various authors have tried to incorporate GUP into an effective metric that allows such calculations.
• In this note, I point out that some of these results are not correct due to working with series truncation rather than the full GUP-corrected expressions.