Can Quantum Gravitational Effects Manifest themselves at Large Distances?

Abstract

Consider a proposed model of the universe with $\hslash$ much greater than its well-known value of $10^{-34}Js$. In this model universe, very large objects can show quantum behaviors. In a scenario with large extra dimensions, $\hslash$ can attains very large values depending on the dimensionality of spacetime. In this letter, we show that although conventional thinking indicates that quantum gravitational effects should manifest themselves only at very small scales, in actuality quantum gravitational effects can manifest themselves at large scales too. We use the generalized uncertainty principle with a non-zero minimal uncertainty in momentum as our primary input to construct a mathematical framework for our proposal.

7 Pages, No Figures

References in corpus (14)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
• Black Hole Remnants at the LHC
• Some Aspects of Planck Scale Quantum Optics
• The Minimal Length and Large Extra Dimensions
• Probing quantum gravity effects in black holes at LHC
• Wave Packets Propagation in Quantum Gravity
• Discriminating large extra dimensions at the ILC with polarized beams

Cited by in corpus (5)

• Noncommutativity, generalized uncertainty principle and FRW cosmology
• Black hole thermodynamics in the presence of a maximal length and minimum measurable in momentum
• Polymeric Quantization and Black Hole Thermodynamics
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Thermostatistics with an Invariant Infrared Cutoff