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Generalized uncertainty principle: Approaches and applications
In this paper, we review some highlights from the String theory, the black hole physics and
the doubly special relativity and some thought experiments which were suggested to probe …
the doubly special relativity and some thought experiments which were suggested to probe …
A review of the generalized uncertainty principle
Based on string theory, black hole physics, doubly special relativity and some'thought'
experiments, minimal distance and/or maximum momentum are proposed. As alternatives to …
experiments, minimal distance and/or maximum momentum are proposed. As alternatives to …
30 years in: Quo vadis generalized uncertainty principle?
According to a number of arguments in quantum gravity, both model-dependent and model-
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …
Phenomenological implications of the generalized uncertainty principle
Various theories of quantum gravity argue that near the Planck scale, the Heisenberg
uncertainty principle should be replaced by the so called generalized uncertainty principle …
uncertainty principle should be replaced by the so called generalized uncertainty principle …
Minimal length uncertainty relation and gravitational quantum well
The dynamics of a particle in a gravitational quantum well is studied in the context of
nonrelativistic quantum mechanics with a particular deformation of a two-dimensional …
nonrelativistic quantum mechanics with a particular deformation of a two-dimensional …
Composite system in deformed space with minimal length
For composite systems made of N different particles living in a space characterized by the
same deformed Heisenberg algebra, but with different deformation parameters, we define …
same deformed Heisenberg algebra, but with different deformation parameters, we define …
Upper bound on the GUP parameter using the black hole shadow
An upper bound on the parameter that provides a generalized uncertainty principle (GUP) is
obtained from the black hole shadow. With the aid of a recent constraint between regular …
obtained from the black hole shadow. With the aid of a recent constraint between regular …
Lorentz-covariant deformed algebra with minimal length and application to the (1+ 1)-dimensional Dirac oscillator
The D-dimensional (β, β')-two-parameter deformed algebra introduced by Kempf is
generalized to a Lorentz-covariant algebra describing a (D+ 1)-dimensional quantized …
generalized to a Lorentz-covariant algebra describing a (D+ 1)-dimensional quantized …
Quantum-spacetime effects on nonrelativistic Schrödinger evolution
The last three decades have witnessed the surge of quantum gravity phenomenology in the
ultraviolet regime as exemplified by the Planck-scale accuracy of time-delay measurements …
ultraviolet regime as exemplified by the Planck-scale accuracy of time-delay measurements …
Effects of quantum gravity on black holes
In this review, we discuss the effects of quantum gravity on black hole physics. After a brief
review of the origin of the minimal observable length from various quantum gravity theories …
review of the origin of the minimal observable length from various quantum gravity theories …