Titlebook: Classical and Quantum Aspects of Gravity in Relation to the Emergent Paradigm; Sumanta Chakraborty Book 2017 Springer International Publis

MOT

Setting the Stage: Review of Previous Resultsl find extensive use in subsequent chapters. We have also provided a discussion on a particular coordinate system adapted to null surfaces, known as Gaussian Null Coordinates, which will be very useful for our thermodynamic considerations.

thwart

Thermodynamic Interpretation of Geometrical Variablested on a null surface, has direct thermodynamic interpretation as in the case of general relativity. Further the variations of these two variables again correspond to variations of temperature and of the appropriate Wald entropy for the Lanczos-Lovelock model.

labile

Spacetime with Zero Point Length is Two-Dimensional at the Planck Scalet length, of the order of the Planck length. This prescription leads to several remarkable consequences. In particular, the Euclidean volume becomes two-dimensional as the Planck scale is being approached. This suggests that the physical spacetime becomes essentially 2-dimensional near Planck scale.

Stagger

Entropy of a Generic Null Surface from Its Associated Virasoro Algebras a Virasoro algebra and a central charge, leading to an entropy density which is just (1/4). All the previously known results arise as special cases of this very general property of null surfaces and the result represented here provides the derivation of the entropy-area law in the most general context.

感情脆弱

Dynamic Realization of the Unruh Effect for a Geodesic Observerted manner. Remarkably, even the observers at left null infinity witness a thermal radiation, without experiencing any change of spacetime geometry and despite being inertial observers. We have also highlighted the conceptual similarity of this phenomenon with the standard Unruh effect in flat spacetime.

Astigmatism

inhumane

Setting the Stage: Review of Previous Resultsn general relativity, definition of Noether current and gravitational momentum etc. We have also reviewed Lanczos-Lovelock models of gravity as it will find extensive use in subsequent chapters. We have also provided a discussion on a particular coordinate system adapted to null surfaces, known as G

雄辩

disparage

Thermodynamic Interpretation of Geometrical Variablesmperature and entropy. Using two such variables for Lanczos-Lovelock gravity we show that the variation of the surface term in the action, when evaluated on a null surface, has direct thermodynamic interpretation as in the case of general relativity. Further the variations of these two variables aga

Conquest