7 research outputs found
Background Independent Quantum Mechanics and Gravity
We argue that the demand of background independence in a quantum theory of
gravity calls for an extension of standard geometric quantum mechanics. We
discuss a possible kinematical and dynamical generalization of the latter by
way of a quantum covariance of the state space. Specifically, we apply our
scheme to the problem of a background independent formulation of Matrix Theory.Comment: 9 pages, LaTe
Deconstruction and Holography
It was recently pointed out that the physics of a single discrete
gravitational extra dimension exhibits a peculiar UV/IR connection relating the
UV scale to the radius of the effective extra dimension. Here we note that this
non-locality is a manifestation of holography, encoding the correct scaling of
the number of fundamental degrees of freedom of the UV theory. This in turn
relates the Wilsonian RG flow in the UV theory to the effective gravitational
dynamics in the extra dimension. The relevant holographic c-function is
determined by the expression for the holographic bound. Holography in this
context is a result of the requirements of unitarity and diffeomorphism
invariance. We comment on the relevance of this observation for the
cosmological constant problem.Comment: 11 pages, LaTe
Inflation as a probe of new physics
In this paper we consider inflation as a probe of new physics near the string
or Planck scale. We discuss how new physics can be captured by the choice of
vacuum, and how this leads to modifications of the primordial spectrum as well
as the way in which the universe expands during inflation. Provided there is a
large number of fields contributing to the vacuum energy -- as typically is
expected in string theory -- we will argue that both types of effects can be
present simultaneously and be of observational relevance. Our conclusion is
that the ambiguity in choice of vacuum is an interesting new parameter in
serious model building.Comment: 14 page
Turbulence and Holography
We examine the interplay between recent advances in quantum gravity and the
problem of turbulence. In particular, we argue that in the gravitational
context the phenomenon of turbulence is intimately related to the properties of
spacetime foam. In this framework we discuss the relation of turbulence and
holography and the interpretation of the Kolmogorov scaling in the quantum
gravitational setting.Comment: 19 pages, LaTeX; version 2: reference adde
Alpha-states in de Sitter space
Field theory in de Sitter space admits a one-parameter family of vacua
determined by a superselection parameter alpha. Of these vacua, the Euclidean
vacuum uniquely extrapolates to the vacuum of flat Minkowski space. States
which resemble the alpha-vacua can be constructed as excitations above the
Euclidean vacuum. Such states have modes alpha(k) which decay faster that
k^{(1-d)/2}. Fields in such states exhibit non-local correlations when examined
from the perspective of fields in the Euclidean vacuum. The dynamics of such
entangled states are fully consistent. If an alpha-state with properties that
interpolate between an alpha-vacuum and the Euclidean vacuum were the initial
condition for inflation, a signature for this may be found in a momentum
dependent correction to the inflationary power spectrum. The functional
formalism, which provides the tool for examining physics in an alpha-state,
extends to fields of other spin. In particular, the extension to spin-2 may
proffer a new class of infrared modifications to gravitational interactions.
The implications of superselection sectors for the landscape of string vacua
are briefly discussed.Comment: 28 pages, LaTe
Aspects of Quantum Gravity in de Sitter Spaces
In these lectures we give a review of recent attempts to understand quantum
gravity on de Sitter spaces. In particular, we discuss the holographic
correspondence between de Sitter gravity and conformal field theories proposed
by Hull and by Strominger, and how this may be reconciled with the
finite-dimensional Hilbert space proposal by Banks and Fischler. Furthermore we
review the no-go theorems that forbid an embedding of de Sitter spaces in
string theory, and discuss how they can be circumvented. Finally, some curious
issues concerning the thermal nature of de Sitter space are elucidated.Comment: 36+1 pages, 5 Postscript figures, introduction and section 6
extended, further references, final version to appear in JCA