Extended Uncertainty Relation and Rough Estimate of Cosmological Constant

TL;DR

This paper explores an extended uncertainty relation and its implications for quantum gravity, providing a rough estimate of the cosmological constant as a quantum effect, aiming to guide future theoretical developments.

Contribution

It introduces an extended uncertainty relation and discusses dynamical quantization of space-time, offering a new perspective on quantum gravity and the cosmological constant.

Findings

Extended uncertainty relation as a potential principle for quantum gravity

Rough estimate of the cosmological constant as a quantum effect

Implications for dynamical space-time quantization

Abstract

One brief idea on the extended uncertainty relation and the dynamical quantization of space-time at the Planck scale is presented. The extended uncertainty relation could be a guiding principle toward the renormalizable quantum gravity. Cosmological constant in the Universe as a quantum effect is also roughly estimated.