New generalized uncertainty principle with parameter adaptability for the minimum length

Abstract

There have been many papers suggesting that the parameter of the generalized uncertainty principle should be negative rather than positive in some specific scenarios, and the negative parameter can remove the minimum length. However, the minimum length is a model-independent feature of quantum gravity and it should not be affected by the specific scenarios. In order to solve this contradiction, we derive a new generalized uncertainty principle to reflect a fixed and unified minimum length in both cases of positive and negative parameters.

arXiv comment19 pages, 4 figures, 1 table

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• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• The gravitational baryogenesis and a new higher-order extended uncertainty principle with parameter adaptability for the minimum length
• Friedmann equations from GUP-modified equipartition law
• The shadows of quantum gravity on Bell's inequality
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
• From MOND entropy to extended uncertainty principles: A unified framework