2,033 research outputs found
Quantizing Geometry or Geometrizing the Quantum?
The unsatisfactory status of the search for a consistent and predictive
quantization of gravity is taken as motivation to study the question whether
geometrical laws could be more fundamental than quantization procedures. In
such an approach the quantum mechanical laws should emerge from the geometrical
theory. A toy model that incorporates the idea is presented and its necessary
formulation in configuration space is emphasized.Comment: Talk given at QTRF 5 conference, 5 pages, typos corrected, reference
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The stepwise path integral of the relativistic point particle
In this paper we present a stepwise construction of the path integral over
relativistic orbits in Euclidean spacetime. It is shown that the apparent
problems of this path integral, like the breakdown of the naive
Chapman-Kolmogorov relation, can be solved by a careful analysis of the
overcounting associated with local and global symmetries. Based on this, the
direct calculation of the quantum propagator of the relativistic point particle
in the path integral formulation results from a simple and purely geometric
construction.Comment: 10 pages, 5 figure
Exact renormalization group with optimal scale and its application to cosmology
Assuming an effective gravitational action with scale dependent coupling
constants, a consistency condition for the local form of the cut-off scale is
derived. The approach is applied to homogeneous cosmology and running couplings
with an ultraviolet fixed point. Within the given approach this allows to
derive bounds on the value of the fixed point.Comment: 11 pages, 3 figure
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