派博傳思國際中心

標(biāo)題: Titlebook: Black Hole Information and Thermodynamics; Dieter Lüst,Ward Vleeshouwers Book 2019 The Author(s), under exclusive license to Springer Natu [打印本頁]

作者: fundoplication    時(shí)間: 2025-3-21 19:12
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作者: falsehood    時(shí)間: 2025-3-21 22:44
https://doi.org/10.1007/978-3-642-91095-1e must grow when we throw an object into it. Such thought experiments can be used to derive the laws of black hole mechanics, which turn out to be profoundly connected to the laws of thermodynamics. In particular, certain parameters from black hole physics will be seen to correspond to thermodynamic quantities.
作者: Etching    時(shí)間: 2025-3-22 02:41
https://doi.org/10.1007/978-3-642-91095-1s. In thermodynamics, we may consider e.g. the grand canonical ensemble, where the system is characterized by quantities ., nammely chemical potential, volume, and temperature, respectively. The first law of thermodynamics is then
作者: nettle    時(shí)間: 2025-3-22 07:05
Black Hole Mechanics and Thermodynamics,e must grow when we throw an object into it. Such thought experiments can be used to derive the laws of black hole mechanics, which turn out to be profoundly connected to the laws of thermodynamics. In particular, certain parameters from black hole physics will be seen to correspond to thermodynamic quantities.
作者: irreducible    時(shí)間: 2025-3-22 08:55

作者: 空洞    時(shí)間: 2025-3-22 15:48

作者: 鋪?zhàn)?nbsp;   時(shí)間: 2025-3-22 18:26
Solitons in String Theory, number of microstates, which shows the statistical origin of the entropy of stringy black holes. These sections are based on the review found at Haack (4th National Summer School for German-speaking Graduate Students of Theoretical Physics Saalburg, 1998, [16]).
作者: aquatic    時(shí)間: 2025-3-22 22:05
Book 2019lack hole solutions, and discusses Penrose diagrams, black hole thermodynamics and entropy, the Unruh effect, Hawking radiation, the black hole information problem, black holes in supergravity and string theory, the black hole microstate counting in string theory, asymptotic symmetries in general re
作者: 嘲笑    時(shí)間: 2025-3-23 02:00

作者: 發(fā)誓放棄    時(shí)間: 2025-3-23 08:41
Book 2019lativity, and a particular quantum model for black holes. The book offers an up-to-date summary of all the pertinent questions in this highly active field of physics, and is ideal reading for graduate students and young researchers..
作者: Cerumen    時(shí)間: 2025-3-23 11:05
Mikroskopische Anatomie der Z?hnebe able to distinguish between gravitational and inertial acceleration by means of local experiments i.e. if the box is small enough no observer will be able to distinguish between these two types of acceleration.
作者: 印第安人    時(shí)間: 2025-3-23 17:18

作者: 許可    時(shí)間: 2025-3-23 21:57

作者: 嘴唇可修剪    時(shí)間: 2025-3-23 23:39

作者: 天賦    時(shí)間: 2025-3-24 04:29
978-3-030-10918-9The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
作者: 灰姑娘    時(shí)間: 2025-3-24 07:15
Die Sinnesempfindungen in der Mundh?hleWe consider (d+1)-dimensional . ., which are topological manifold that look locally like .. . can be covered by open sets ., ., where . is some indexing set. The . are then defined as bijective maps . with the requirement that, for ., the . . is .. The collection of all . is then called an ..
作者: 笨重    時(shí)間: 2025-3-24 12:44
Makroskopische Anatomie der Z?hneThe Christoffel connection is associated to a covariant derivative acting on tensors. In familiar gauge theories, the partial derivative is replaced by a covariant derivative as .. In general relativity, the covariant derivative acts as ., where . indicates that multiplication is tensorially non-trivial, see (.).
作者: 阻擋    時(shí)間: 2025-3-24 18:39
https://doi.org/10.1007/978-3-0348-7071-9Typical space-time metrics, e.g. . or Schwarzschild space, are infinite in coordinate extension. This means that there are boundaries of our space-time at infinite coordinate distance in this coordinate system. To make such space-times more manageable we perform so-called ., which is a transformation of our original coordinate system such that:
作者: 空氣傳播    時(shí)間: 2025-3-24 22:27

作者: palliate    時(shí)間: 2025-3-25 00:53

作者: 貨物    時(shí)間: 2025-3-25 07:15
https://doi.org/10.1007/978-3-642-91095-1During last lecture, we discussed black hole thermodynamics and mechanics. The zero’th law states that surface gravity is constant over an event horizon. For our discussion of the first law we considered Komar quantities.
作者: 冒失    時(shí)間: 2025-3-25 09:39
Carl Claus,Karl Grobben,Alfred KühnThe scalar field action is given by .. We promote the field . to an operator . with associated creation and annihilation operators, which we can then make time-dependent as
作者: Hallowed    時(shí)間: 2025-3-25 13:58
https://doi.org/10.1007/978-3-662-25446-2We express a quantum scalar field in Minkowski and Rindler space as
作者: Neonatal    時(shí)間: 2025-3-25 17:44
https://doi.org/10.1007/978-3-662-25446-2The results of the last few lectures can be summarized as follows
作者: 樹膠    時(shí)間: 2025-3-25 21:03

作者: 仇恨    時(shí)間: 2025-3-26 01:53
Riemannian Geometry,We consider (d+1)-dimensional . ., which are topological manifold that look locally like .. . can be covered by open sets ., ., where . is some indexing set. The . are then defined as bijective maps . with the requirement that, for ., the . . is .. The collection of all . is then called an ..
作者: Decongestant    時(shí)間: 2025-3-26 05:17
,Einstein’s Equations,The Christoffel connection is associated to a covariant derivative acting on tensors. In familiar gauge theories, the partial derivative is replaced by a covariant derivative as .. In general relativity, the covariant derivative acts as ., where . indicates that multiplication is tensorially non-trivial, see (.).
作者: NOVA    時(shí)間: 2025-3-26 10:17

作者: 昏迷狀態(tài)    時(shí)間: 2025-3-26 15:29

作者: FLAIL    時(shí)間: 2025-3-26 17:56

作者: Offstage    時(shí)間: 2025-3-26 21:47
Black Hole Thermodynamics,During last lecture, we discussed black hole thermodynamics and mechanics. The zero’th law states that surface gravity is constant over an event horizon. For our discussion of the first law we considered Komar quantities.
作者: BARGE    時(shí)間: 2025-3-27 05:08
Quantum Field Theory in Curved Space-Time Backgrounds,The scalar field action is given by .. We promote the field . to an operator . with associated creation and annihilation operators, which we can then make time-dependent as
作者: Decongestant    時(shí)間: 2025-3-27 08:25

作者: Picks-Disease    時(shí)間: 2025-3-27 12:40
Information Loss Paradox,The results of the last few lectures can be summarized as follows
作者: 極大的痛苦    時(shí)間: 2025-3-27 17:12
Brane Solutions,In the (NS, NS)-sector, we have the explicit solution given by the fundamental string for .,
作者: Intend    時(shí)間: 2025-3-27 21:20
Special Relativity,tial distances (as well as temporal intervals) invariant. For example, in two spatial dimensions with coordinates (.,?.), the squared distance . is invariant under rotations, which are of the form . The invariance of spatial (Euclidean) distance is then given by ..
作者: CHART    時(shí)間: 2025-3-28 01:42

作者: Facet-Joints    時(shí)間: 2025-3-28 02:55
Black Holes,is compressed into a small region of space-time. It is characterized by a curvature singularity at the origin which is ‘screened’ to outside observers by a coordinate singularity at finite radial distance. This coordinate singularity is known as the ., which will be seen to exhibit deep connections with thermodynamic systems.
作者: 賠償    時(shí)間: 2025-3-28 06:14

作者: 高歌    時(shí)間: 2025-3-28 11:06

作者: 摘要    時(shí)間: 2025-3-28 15:36

作者: allergy    時(shí)間: 2025-3-28 20:02

作者: HPA533    時(shí)間: 2025-3-28 22:55

作者: 硬化    時(shí)間: 2025-3-29 05:41

作者: 大廳    時(shí)間: 2025-3-29 10:04

作者: vocation    時(shí)間: 2025-3-29 14:45
Mikroskopische Anatomie der Z?hnet physics should be independent of the choice of coordinate system. This is already present in Newtonian dynamics, where that the inertial mass of a particle is equal to its gravitational mass. Consider a thought experiment due to Einstein where we have an observer in a box. The observer should not
作者: 面包屑    時(shí)間: 2025-3-29 17:06

作者: 召集    時(shí)間: 2025-3-29 20:45
https://doi.org/10.1007/978-3-662-40967-1is compressed into a small region of space-time. It is characterized by a curvature singularity at the origin which is ‘screened’ to outside observers by a coordinate singularity at finite radial distance. This coordinate singularity is known as the ., which will be seen to exhibit deep connections
作者: Bernstein-test    時(shí)間: 2025-3-30 01:50
https://doi.org/10.1007/978-3-662-40967-1d speed of light .. The space-time has an exterior and an interior region characterized by . and . and denoted by . and ., respectively. Today we will consider a new coordinate system which will allow us to double the space-time and find copies of regions . and ..
作者: BIPED    時(shí)間: 2025-3-30 06:08
https://doi.org/10.1007/978-3-642-91095-1act that if we throw an object with some entropy into a black hole, the entropy of the total system may not decrease, hence the entropy of a black hole must grow when we throw an object into it. Such thought experiments can be used to derive the laws of black hole mechanics, which turn out to be pro
作者: disrupt    時(shí)間: 2025-3-30 11:44
https://doi.org/10.1007/978-3-642-91095-1onsider the laws of black hole mechanics as thermodynamical statements. This means that we will define a temperature and an entropy for our black holes. In thermodynamics, we may consider e.g. the grand canonical ensemble, where the system is characterized by quantities ., nammely chemical potential
作者: 6Applepolish    時(shí)間: 2025-3-30 14:36
Carl Claus,Karl Grobben,Alfred Kühn [8]). These were considered by many to be mere surface similarities, until Hawking showed that semiclassical black holes emit thermal radiation at inverse temperature . (Hawking, Commun Math Phys, 43:199–220, 1975, [9]). That is, black holes seem to be truly thermodynamic objects which radiate at a
作者: ANA    時(shí)間: 2025-3-30 16:46
Lehrbuch der angewandten Fluidmechanik99–104, 1996, [15]). We will look at the construction of D- and p-branes, the compactification of superstring theories, and the construction of black holes from charges associated to the branes. Using a stringy version of the electromagnetic duality, we can express the black hole entropy in terms of
作者: 擴(kuò)音器    時(shí)間: 2025-3-30 23:56
Special Relativity,tial distances (as well as temporal intervals) invariant. For example, in two spatial dimensions with coordinates (.,?.), the squared distance . is invariant under rotations, which are of the form . The invariance of spatial (Euclidean) distance is then given by ..
作者: 語源學(xué)    時(shí)間: 2025-3-31 03:54

作者: Tortuous    時(shí)間: 2025-3-31 08:24

作者: 剛開始    時(shí)間: 2025-3-31 09:50
Black Holes,is compressed into a small region of space-time. It is characterized by a curvature singularity at the origin which is ‘screened’ to outside observers by a coordinate singularity at finite radial distance. This coordinate singularity is known as the ., which will be seen to exhibit deep connections
作者: JOT    時(shí)間: 2025-3-31 14:03
,Kruskal–Szekeres Coordinates and Geodesics of the Schwarzschild Black Hole,d speed of light .. The space-time has an exterior and an interior region characterized by . and . and denoted by . and ., respectively. Today we will consider a new coordinate system which will allow us to double the space-time and find copies of regions . and ..
作者: Explosive    時(shí)間: 2025-3-31 20:05
Black Hole Mechanics and Thermodynamics,act that if we throw an object with some entropy into a black hole, the entropy of the total system may not decrease, hence the entropy of a black hole must grow when we throw an object into it. Such thought experiments can be used to derive the laws of black hole mechanics, which turn out to be pro
作者: 剝削    時(shí)間: 2025-3-31 23:23
Black Holes and Entropy,onsider the laws of black hole mechanics as thermodynamical statements. This means that we will define a temperature and an entropy for our black holes. In thermodynamics, we may consider e.g. the grand canonical ensemble, where the system is characterized by quantities ., nammely chemical potential
作者: Density    時(shí)間: 2025-4-1 04:05

作者: xanthelasma    時(shí)間: 2025-4-1 06:58

作者: 打谷工具    時(shí)間: 2025-4-1 10:26
2191-5423 mmary of all the pertinent questions in this highly active field of physics, and is ideal reading for graduate students and young researchers..978-3-030-10918-9978-3-030-10919-6Series ISSN 2191-5423 Series E-ISSN 2191-5431
作者: 敏捷    時(shí)間: 2025-4-1 17:30

作者: locus-ceruleus    時(shí)間: 2025-4-1 20:02
Hawking and Unruh Radiation, which presents perhaps the most important unsolved problem of contemporary theoretical physics. The remaining sections will look at the origin of this problem as well as some partial solutions that have been proposed thus far.
作者: 氣候    時(shí)間: 2025-4-2 01:32

作者: 漸強(qiáng)    時(shí)間: 2025-4-2 03:11





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