Wave function of the quantum black hole

Ram Brustein, Merav Hadad

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء


We show that the Wald Noether-charge entropy is canonically conjugate to the opening angle at the horizon. Using this canonical relation, we extend the Wheeler-DeWitt equation to a Schrödinger equation in the opening angle, following Carlip and Teitelboim. We solve the equation in the semiclassical approximation by using the correspondence principle and find that the solutions are minimal uncertainty wavefunctions with a continuous spectrum for the entropy and therefore also of the area of the black hole horizon. The fact that the opening angle fluctuates away from its classical value of 2. indicates that the quantum black hole is a superposition of horizonless states. The classical geometry with a horizon serves only to evaluate quantum expectation values in the strict classical limit.

اللغة الأصليةإنجليزيّة أمريكيّة
الصفحات (من إلى)653-656
عدد الصفحات4
دوريةPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
مستوى الصوت718
رقم الإصدار2
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 5 ديسمبر 2012

All Science Journal Classification (ASJC) codes

  • !!Nuclear and High Energy Physics


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