Modular cosmology
نویسندگان
چکیده
منابع مشابه
Modular curves, C∗-algebras, and chaotic cosmology
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry. We show that the full dynamics of the mixmaster universe is equivalent to the geodesic ow on the modular curve X 0(2). We then consider a special class of solutions, with bounded number of cycles in each Kasner era, and describe their ...
متن کاملBig Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
We introduce some algebraic geometric models in cosmology related to the “boundaries” of space-time: Big Bang, Mixmaster Universe, Penrose’s crossovers between aeons. We suggest to model the kinematics of Big Bang using the algebraic geometric (or analytic) blow up of a point x. This creates a boundary which consists of the projective space of tangent directions to x and possibly of the light c...
متن کاملCosmology ?
It is postulated that the action of the FRW-universe is the cos-mological term of Einstein's theory (no curvature term-" R 0 Cos-mology "). The expansion equation emerging from the embedding of this most simple brane world with variable speed of light is deduced. The universal dimensionless coupling constant of gravity is addressed. Some implications on the deep problems of cosmology are discus...
متن کاملString Cosmology versus Standard and Inflationary Cosmology
This paper presents a review of the basic, model-independent differences between the pre-big bang scenario, arising naturally in a string cosmology context, and the standard inflationary scenario. We use an unconventional approach in which the introduction of technical details is avoided as much as possible, trying to focus the reader’s attention on the main conceptual aspects of both scenarios...
متن کاملCosmology: The Noncommutative Quantum and Classical Cosmology
During the early days of quantum mechanics and quantum field theory, continuous space-time and Lorentz symmetry was considered inappropriate to describe the small scale structure of the universe. It was also argued that one should introduce a fundamental length scale, limiting the precision of position measurements. The introduction of fundamental length is suggested to cure the ultraviolet div...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1995
ISSN: 0556-2821
DOI: 10.1103/physrevd.52.3548