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}
}

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References

SHOWING 1-10 OF 45 REFERENCES

A New Approach to Generalised Uncertainty Relations

We outline a new model in which generalised uncertainty relations are obtained without modified commutation relations. While existing models introduce modified phase space volumes for the canonical

Symmetry

The word "symmetry" is used in mathematics quite differently from in ordinary speech. In everyday life one applies it mainly to two-sided, right-left symmetry; but not so in mathematics. Admittedly,

Revisiting the minimum length in the Schwinger–Keldysh formalism

The existence of a minimum length in quantum gravity is investigated by computing the in-in expectation value of the proper distance in the Schwinger–Keldysh formalism. No minimum geometrical length

Lorentz Invariance Violation Tests in Astroparticle Physics

In this review, we present the latest exclusion limits obtained from astroparticles on Lorentz Invariance Violation (LIV) in the photon sector. We discuss the techniques known as energy-dependent

Generalised Uncertainty Relations for Angular Momentum and Spin in Quantum Geometry

We derive generalised uncertainty relations (GURs) for orbital angular momentum and spin in the recently proposed smeared-space model of quantum geometry. The model implements a minimum length and a

A Solution to the Soccer Ball Problem for Generalized Uncertainty Relations

We propose a new method for generating generalised uncertainty relations (GURs) including the generalised uncertainty principle (GUP), extended uncertainty principle (EUP), and extended generalised

Indirect probe of quantum gravity using molecular wave-packets

The most obvious obstacle behind a direct test of quantum gravity (QG) is its energy scale (1019 GeV), which remains well outside of any human made machine. The next best possible approach is to

CLASSICAL AND QUANTUM GRAVITY EFFECTS FROM PLANCKIAN ENERGY SUPERSTRING COLLISIONS

We argue that superstring collisions at Planckian energies and small deflection angles are calculable through an evaluation and resummation of string loops in flat space-time. This leads to a