Black holes and quantum mechanics
β Scribed by G. 't Hooft
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 439 KB
- Volume
- 203-204
- Category
- Article
- ISSN
- 0920-5632
No coin nor oath required. For personal study only.
β¦ Synopsis
- r 2 dΞ© 2 ,
(1) where spherical coordinates t, r, ΞΈ, Ο were chosen, dΞ© 2 def = dΞΈ 2 + sin 2 ΞΈ dΟ 2 , and the radial coordinate r was chosen such that the angular component in this expression coincides with that of empty space-time. Furthermore, we absorbed Newton's constant G N into the definition of the mass: M def = G N m BH , or rather, units were chosen such that G N = 1 . In a slightly different notation, this solution to Einstein's equations was first written down by K. Schwarzschild [1].
π SIMILAR VOLUMES
We give a method in which a quantum of mass equal to twice the Planck mass arises naturally. Then using Bose-Einstein statistics we derive an expression for the black hole entropy which physically tends to the Bekenstein-Hawking formula.