A new mass scale, implications on black hole evaporation and holography

Abstract

We consider a new mass scale $M_T=({\hslash }^2\sqrt{\Lambda }/G{)}^{1/3}$ constructed from dimensional analysis by using $G$, $\hslash$ and $\Lambda$ and discuss its physical interpretation. Based on the Generalized Uncertainty Relation, a black hole with age comparable to the universe would stop radiating when the mass reaches a new mass scale $M_T^{\prime }=c(\hslash /G^2\sqrt{\Lambda }{)}^{1/3}$ at which its temperature corresponds to the mass $M_T$. Black hole remnants could have masses ranging from a Planck mass to a trillion kilograms. Holography persists even when the uncertainty relation is modified to the Minimum Length Uncertainty Relation~(MLUR). The remnant black hole entropy is proportional to the surface area of the black hole in unit of the Planck area in arbitrary noncompact dimensions.

arXiv comment17 pages, 3 figures

References in corpus (16)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Quantum gravity and minimum length
• The Generalized Uncertainty Principle and Black Hole Remnants
• Minimal Length Scale Scenarios for Quantum Gravity
• On Gravity and the Uncertainty Principle
• Black Hole Remnants and the Information Loss Paradox
• Black Hole Remnants and Dark Matter
• Review on Generalized Uncertainty Principle
• The geodesic structure of the Schwarzschild Anti-de Sitter black hole
• Does the cosmological constant imply the existence of a minimum mass?
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• Is Mass Quantized?
• Hawking Radiation of Schwarzschild-de Sitter Black Hole by Hamilton-Jacobi method
• The minimum mass of a spherically symmetric object in $D$-dimensions, and its implications for the mass hierarchy problem
• The minimum mass of a charged spherically symmetric object in $D$ dimensions, its implications for fundamental particles, and holography
• A scaling law for the cosmological constant from a stochastic model for cosmic structures

Cited by in corpus (8)

• Mass bounds for compact spherically symmetric objects in generalized gravity theories
• Mass - radius ratio bounds for compact objects in Lorentz-violating dRGT Massive Gravity theory
• Is there a connection between "dark" and "light" physics?
• Quarks, Hadrons, and Emergent Spacetime
• Does space-time torsion determine the minimum mass of gravitating particles?
• The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
• MOND and Natural Scales of Distance and Mass
• Modified Newtonian dynamics and hadronic scales