Minimal Length Scale Scenarios for Quantum Gravity
read the original abstract
We review the question of whether the fundamental laws of nature limit our ability to probe arbitrarily short distances. First, we examine what insights can be gained from thought experiments for probes of shortest distances, and summarize what can be learned from different approaches to a theory of quantum gravity. Then we discuss some models that have been developed to implement a minimal length scale in quantum mechanics and quantum field theory. These models have entered the literature as the generalized uncertainty principle or the modified dispersion relation, and have allowed the study of the effects of a minimal length scale in quantum mechanics, quantum electrodynamics, thermodynamics, black-hole physics and cosmology. Finally, we touch upon the question of ways to circumvent the manifestation of a minimal length scale in short-distance physics.
This paper has not been read by Pith yet.
Forward citations
Cited by 7 Pith papers
-
Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce
Improved GUP deformations applied to FLRW cosmology with Ashtekar-Barbero variables produce a non-singular emergent universe coasting from constant volume without a bounce and with a universal maximum energy density.
-
Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.
-
Natural modification of quantum uncertainty, modified gravity, and cosmology
Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.
-
From minimal-length quantum theory to modified gravity
A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable le...
-
UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
-
Chaos and epoch structure in the deformed Mixmaster universe
GUP deformation shortens Kasner epochs in the Mixmaster universe while polymerization lengthens them, with combined effects adding linearly and chaos strength depending on the deformation parameters.
-
Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating p...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.