TY - JOUR A2 - Vagenas, Elias C. AU - Manfredi, Luciano AU - Mureika, Jonas PY - 2016 DA - 2016/12/27 TI - Horizon Wavefunction of Generalized Uncertainty Principle Black Holes SP - 1543741 VL - 2016 AB - We study the Horizon Wavefunction (HWF) description of a Generalized Uncertainty Principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M = m 1 + β / 2 M P l 2 / m 2 . Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability P B H that the source is a (quantum) black hole, that is, that it lies within its horizon radius. The case β < 0 is qualitatively similar to the standard Schwarzschild case, and the general shape of P B H is maintained when decreasing the free parameter but shifted to reduce the probability for the particle to be a black hole accordingly. The probability grows with increasing mass slowly for more negative β and drops to 0 for a minimum mass value. The scenario differs significantly for increasing β > 0 , where a minimum in P B H is encountered, thus meaning that every particle has some probability of decaying to a black hole. Furthermore, for sufficiently large β we find that every particle is a quantum black hole, in agreement with the intuitive effect of increasing β , which creates larger M and R H terms. This is likely due to a “dimensional reduction” feature of the model, where the black hole characteristics for sub-Planckian black holes mimic those in ( 1 + 1 ) dimensions and the horizon size grows as R H ~ M - 1 . SN - 1687-7357 UR - https://doi.org/10.1155/2016/1543741 DO - 10.1155/2016/1543741 JF - Advances in High Energy Physics PB - Hindawi Publishing Corporation KW - ER -