New higher-order generalized uncertainty principle: Applications
arXiv:2009.13838 · doi:10.1007/s10773-021-04853-6
Abstract
Last year, Chung and Hassanabadi proposed a higher order general uncertainty principle (GUP) that predicts a minimal length as well as possesses a upper bound momentum limit. In this article, we have discussed an ideal gas system and its thermal properties using that deformed canonical algebra introduced by them. Moreover, we examined blackbody radiation spectrum and the cosmological constant in the presence of the GUP. After a comparison with the existing literature, we concluded that the given formalism of Chung and Hassanabadi yields more accurate results.
arXiv comment12 pages, 7 pages
References in corpus (50)
- The Cosmological Constant
- CODATA Recommended Values of the Fundamental Physical Constants: 2010
- Noncommutative Field Theory
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum gravity and minimum length
- The dS/CFT Correspondence
- Lorentz invariance with an invariant energy scale
- A Generalized Uncertainty Principle in Quantum Gravity
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Universality of Quantum Gravity Corrections
- Discreteness of Space from the Generalized Uncertainty Principle
- The algebraic structure of the generalized uncertainty principle
- Nonpointlike Particles in Harmonic Oscillators
- A proposal for testing Quantum Gravity in the lab
- Minimal Length Uncertainty Relation and Ultraviolet Regularisation
- Minimal Length Uncertainty Relation and Hydrogen Atom
- Mass, Entropy and Holography in Asymptotically de Sitter Spaces
- Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
- UV/IR Relations in AdS Dynamics
- Timelike T-Duality, de Sitter Space, Large Gauge Theories and Topological Field Theory
- Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations
- The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
- Discreteness of Space from GUP II: Relativistic Wave Equations
- Inflation and the dS/CFT Correspondence
- Generalized Uncertainty Principle: Approaches and Applications
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Generalized Uncertainty Principle, Extra-dimensions and Holography
- Perturbation spectrum in inflation with cutoff
- Quantum Uncertainty in Doubly Special Relativity
- Mode Generating Mechanism in Inflation with Cutoff
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
- Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
- String theories with deformed energy momentum relations, and a possible non-tachyonic bosonic string
- Review on Generalized Uncertainty Principle
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Deconstructing de Sitter
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
- Minimal Length Uncertainty Relation and the Hydrogen Spectrum
- Statistical physics in deformed spaces with minimal length
- Massive Vector Particles Tunneling From Noncommutative Charged Black Holes and its GUP-corrected Thermodynamics
- On Noncommutative Geometric Regularisation
- Entangled Particles Tunneling From a Schwarzschild Black Hole immersed in an Electromagnetic Universe with GUP
- On the modification of Hamiltonians' spectrum in gravitational quantum mechanics
- The Effect of GUP to Massive Vector and Scalar Particles Tunneling From a Warped DGP Gravity Black Hole
- Effect of the modified Heisenberg algebra on the Black hole thermodynamics
- Investigation of Unruh temperature of Black holes by using of EGUP formalism
- One-dimensional hydrogen atom with minimal length uncertainty and maximal momentum
- About the Heisenberg's uncertainty principle and the determination of effective optical indices in integrated photonics at high sub-wavelength regime
- Hawking temperature of black holes using the EUP and EGUP formalisms based on the Einstein-Bohr's photon box
- Entropy bound for the photon gas in noncommutative spacetime
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- On the Chandrasekhar Limit in Generalized Uncertainty Principles
- A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
- Bose-Einstein Condensate and Liquid Helium He: Implications of GUP and Modified Gravity Correspondence
- Effect of Quantum Gravity on Specific Heat of Solid
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