# Reconciling a quantum gravity minimal length with lack of photon dispersion

@article{Bishop2021ReconcilingAQ, title={Reconciling a quantum gravity minimal length with lack of photon dispersion}, author={Michael Bishop and Joey Contreras and Jaeyeong Lee and Douglas Singleton}, journal={Physics Letters B}, year={2021}, volume={816}, pages={136265} }

## 10 Citations

### A Subtle Aspect of Minimal Lengths in the Generalized Uncertainty Principle

- PhysicsUniverse
- 2022

In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs of modified operators with the…

### Weak equivalence principle in quantum space

- MathematicsFrontiers in Astronomy and Space Sciences
- 2022

Owing to the development of String Theory and Quantum Gravity, studies of quantized spaces described by deformed commutation relations for operators of coordinates and operators of momenta have…

### Comments on the cosmological constant in generalized uncertainty models

- PhysicsFrontiers in Astronomy and Space Sciences
- 2022

The existence of a small, non-zero cosmological constant is one of the major puzzles in fundamental physics. Naively, quantum field theory arguments would imply a cosmological constant which is up to…

### Fractal properties of particle paths due to generalised uncertainty relations

- Physics
- 2022

We determine the Hausdorﬀ dimension of a particle path, D H , in the recently proposed ‘smeared space’ model of quantum geometry. The model introduces additional degrees of freedom to describe the…

### The more things change the more they stay the same: Minimum lengths with unmodified uncertainty principle and dispersion relation

- Physics
- 2022

Broad arguments indicate that quantum gravity should have a minimal length scale. In this paper, we construct a minimum length model by generalizing the time-position and energy–momentum operators…

### Position in Minimal Length Quantum Mechanics

- PhysicsUniverse
- 2021

Several approaches to quantum gravity imply the presence of a minimal measurable length at high energies. This is in tension with the Heisenberg Uncertainty Principle. Such a contrast is then…

### Generalised Uncertainty Relations and the Problem of Dark Energy

- Physics
- 2021

We outline a new model in which generalised uncertainty relations, that govern the behaviour of microscopic world, and dark energy, that determines the large-scale evolution of the Universe, are…

### Why space could be quantised on a different scale to matter

- PhysicsSciPost Physics Proceedings
- 2021

The scale of quantum mechanical effects in matter is set by Planck’s
constant, \hbarℏ.
This represents the quantisation scale for material objects. In this
article, we present a simple argument why…

### Deformed algebra and the effective dynamics of the interior of black holes

- Mathematics
- 2020

We consider the classical Hamiltonian of the interior of the Schwarzschild black hole in Ashtekar–Barbero connection formalism. Then, inspired by generalized uncertainty principle models, we deform…

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