Black hole entropy from a highly excited elementary string

2003/02/21 by Romesh K. Kaul · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Excited state #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #String (physics) #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.68.024026

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(2) (American Physical Society) · revtex, 4 pages

arxiv created 2003/02/21 · openalex publication_date 2003/07/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A suggested correspondence between a black hole and a highly excited elementary string is explored. Black hole entropy is calculated by computing the density of states for an open excited string. We identify the square root of the oscillator number of the excited string with the Rindler energy of a black hole to obtain an entropy formula which not only agrees to leading order with the Bekenstein-Hawking entropy, but also reproduces the logarithmic correction obtained for black hole entropy in the quantum geometry framework. This provides additional supporting evidence for the correspondence between black holes and strings.

Citations

• De Sitter Entropy and Strings
• Exact black hole entropy bound in conformal field theory
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Braneless black holes
• Counting Schwarzschild and charged black holes
• Logarithmic corrections to black hole entropy, from the Cardy formula
• New holographic entropy bound from quantum geometry
• The black hole interpretation of string theory
• Microscopic Origin of the Bekenstein-Hawking Entropy