Total Quantum Statistical Entropy of Reissner-Nordstrom Black Holes： in Dirac Field Case

The total quantum statistical entropy of Reissner-Nordstrom black holes inDirac field case is evaluated in this article. The space-time of the black holes is divided intothree regions: region 1 (r 】 r_o), region 2 (r_o 】 r 】 r_i), and region 3 (r_i 】 r 】 0), where r_ois the radius of the outer event horizon, and Ti is the radius of the inner event horizon. The totalquantum statistical entropy of Reissner-Nordstrom black holes is S = S_1 + S_2 + S_3, where S_i (i= 1,2,3) is the entropy, contributed by regions 1,2,3. The detailed calculation shows that S_2 isneglectfully small. S_1 = w_t(π~2/45)k_b(A_o/ε~2β~3), S_3 = -w_t(π~2/45)k_b(A_i/ε~2β~3), whereA_o and A_i are, respectively, the areas of the outer and inner event horizons, w_t = 2~s[1 -2~(-(s+1))], s = d/2, d is the space-time dimension, here d = 4, s = 2. As r_i approaches r_o in theextreme case the total quantum statistical entropy of Reissner-Nordstrom black holes approacheszero.

The components transitive regularity of three dosage forms of Liuwei Dihuang Fufang

Objective To explore the transitive regularity of holistic constituents from the crude slices of the medicinal raw materials(MCS)to the formula granules(FG),fufang decoction(FD),and finally,the concentrated pills(CP)of Liuwei Dihuang Fufang(六味地黄复方,LWDHF).Methods Samples for MCS,FG,FD,and CP of LWDHF were obtained,and a fingerprint data-base was established using high-performance liquid chromatography(HPLC),by separating the samples in an XB-C18 column and analyzing the transitive regularity of components us-ing the total quantum statistical moment(TQSM),including total quantum zero moment(AUCT),total quantum first moment(MRTT),total quantum second moment(VRTT),and its similarity approach.The AUCT,MRTT,and VRTT were calculated based on the representative HPLC chromatograms of FG,FD,and CP of LWDHF.Results AUCT of FG,FD,and CP of LWDHF was 71804,46553,and 144646μV·s,respectively;MRTT was 14.43,14.54,and 18.85 min,respectively;and VRTT was 106.98,112.84,and 269.12 min2,respectively.Comparing the similarity of FG/FD,FG/CP and FD/CP of LWDHF,the TQSM similarity values were 98.66%,76.62%,and 75.37%,respectively,whereas the tradi-tional similarity evaluation values were 98.68%,85.43%,and 85.60%,respectively.Conclusion The results perform little distinction in the total composition between FG and FD,whereas some distinction existed between FD and CP.Experimental evidence,therefore indicates that FG could be used as the alternative of MCS in clinical applications.