60 research outputs found
Non-Unitary and Unitary Transitions in Generalized Quantum Mechanics, New Small Parameter and Information Problem Solving
Quantum Mechanics of the Early Universe is considered as deformation of a
well-known Quantum Mechanics. Similar to previous works of the author, the
principal approach is based on deformation of the density matrix with
concurrent development of the wave function deformation in the respective
Schr{\"o}dinger picture, the associated deformation parameter being interpreted
as a new small parameter. It is demonstrated that the existence of black holes
in the suggested approach in the end twice causes nonunitary transitions
resulting in the unitarity. In parallel this problem is considered in other
terms: entropy density, Heisenberg algebra deformation terms, respective
deformations of Statistical Mechanics, - all showing the identity of the basic
results. From this an explicit solution for Hawking's informaion paradox has
been derived.Comment: 18 page
Probable Entropic Nature of Gravity in Ultraviolet and Infrared Limits, Part I. An Ultraviolet Case
This work presents a study of the possibility for extending the well-known
results of E.Verlinde concerning the entropic nature of gravity to the
ultraviolet region (Planck's energies) and also the derivation of quantum
corrections to Einstein EquationsComment: 20 pages, Latex, v.3, some important correction
Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity
In this work it is demonstrated that, provided a theory involves a minimal
length, this theory must be free from such infinitesimal quantities as
infinitely small variations in surface of the holographic screen, its volume,
and entropy. The corresponding infinitesimal quantities in this case must be
replaced by the "minimal variations possible" -- finite quantities dependent on
the existent energies. As a result, the initial low-energy theory (quantum
theory or general relativity) inevitably must be replaced by a minimal-length
theory that gives very close results but operates with absolutely other
mathematical apparatus.Comment: 23 pages, Late
Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
Within a theory of the existing fundamental length on the order of Planck's a
high-energy deformation of the General Relativity for the space with horizon
has been constructed. On this basis, Markov's work of the early eighties of the
last century has been given a new interpretation to show that the heuristic
model considered by him may be placed on a fundamental footing. The obtained
results have been applied to solving of the dark energy problem, making it
possible to frame the following hypothesis: a dynamic cosmological term is a
measure of deviation from a thermodynamic identity (the first law of
thermodynamics) of the high-energy (Planck's) deformation of Einstein equations
for horizon spaces in their thermodynamic interpretation.Comment: 30 pages, Latex. arXiv admin note: substantial text overlap with
arXiv:1003.4523, arXiv:0911.5597, arXiv:1006.497
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