|
|
libcats.org
Chern-Simons invariant as the natural time variable for cosmologySmolin, Soo.We propose that the Chem-Simons invariant of the Ashtekar-Sen connection is the natural internal time coordinate for classical and quantum cosmology. The reasons for this are a number of interesting properties of this functional, which we describe here. (1) It is a function on the gauge and diffeomorphism invariant configuration space, whose gradient is orthogonal to the two physical degrees of freedom, in the metric defined by the Ashtekar formulation of general relativity. (2) The imaginary part of the Chem-Simons form reduces in the limit of small cosmological constant, Lambda, and solutions close to DeSitter spacetime, to the York extrinsic time coordinate. (3) Small matter-field excitations of the Chem-Simons state satisfy, by virtue of the quantum constraints, a functional Schrodinger equation in which the matter fields evolve on a DeSitter background in the Chern-Simons time. We then propose this is the natural vacuum state of the theory for Lambda not equal 0. (4) This time coordinate is periodic on the configuration space of Euclideanized spacetimes, due to the large gauge transformations, which means that physical expectation values for all states in non-perturbative quantum gravity will satisfy the KMS condition, and may then be interpreted as thermal states. (5) Forms for the physical Hamiltonians and inner product which support the proposal are suggested, and a new action principle for general relativity, as a geodesic principle on the connection superspace, is found.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Introduction to Functional Programming (Prentice Hall International Series in Computing Science)Автор: Richard Bird, Автор: Philip WadlerКатегория: Математика, Прикладная математика
Размер книги: 4.73 Mb
The Clean Coder: A Code of Conduct for Professional Programmers (Robert C. Martin Series)Автор: Robert C. Martin
Размер книги: 6.06 Mb
Только что пользователи скачали эти книги:
Математический анализ. Теория наилучшего приближения в линейных нормированных пространствахАвтор: Гаркави А.Л.
Размер книги: 1022 Kb
Истинной истории истоки, или История как достоверный прообраз настоящего и будущегоАвтор: Миронов Александр НиколаевичКатегория: филология
Размер книги: 1.31 Mb
Learning to Read Critically in Teaching and Learning (Learning to Read Critically Series)Автор: Louise Poulson, Автор: Mike WallaceКатегория: Образование
Размер книги: 3.41 Mb
The Origins of the English Gentry (Past and Present Publications)Автор: Peter CossКатегория: Языкознание
Размер книги: 1.25 Mb
Il Vento Dei DemoniАвтор: Pilo Gianni, Автор: Fusco SebastianoКатегория: fiction
Размер книги: 1.43 Mb
|
|
|