Foundations for a theory of emergent quantum mechanics and emergent
classical gravity
February 20, 2014
Physics
Mathematics
Mathematical Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Differential Geometry
Mathematical Physics
Quantum Physics
Quantum systems are viewed as emergent systems from the fundamental degrees
of freedom. The laws and rules of quantum mechanics are understood as an
effective description, valid for the emergent systems and specially useful to
handle probab...
Spacetime approach to force-free magnetospheres
January 23, 2014
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Physics
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Force-Free Electrodynamics (FFE) describes magnetically dominated
relativistic plasma via non-linear equations for the electromagnetic field
alone. Such plasma is thought to play a key role in the physics of pulsars and
active black holes. ...
The existence of designs
January 15, 2014
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Mathematics
Combinatorics
Combinatorics
We prove the existence conjecture for combinatorial designs, answering a
question of Steiner from 1853. More generally, we show that the natural
divisibility conditions are sufficient for clique decompositions of simplicial
complexes that s...
Universal aspects of the random first order phase transition theory of
the structural glass transition
January 9, 2014
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Physics
Statistical Mechanics
We analyze the ways in which the random first order phase transition (RFOT)
of the glass transition differs from the well-studied regular first order and
second order (or continuous) phase transitions. Just as is the case in the
latter two ...
f-left-invariant Riemannian metrics on Lie groups
January 3, 2014
Mathematics
Differential Geometry
With a f-left-invariant Riemannian metric on a Lie group G, we mean a
Riemannian metric which is conformally equivalent to a left-invariant
Riemannian metric, with the conformal factor f. In this article, we study the
geometry of such m...
Unsolved Problems in Group Theory. The Kourovka Notebook
January 1, 2014
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Mathematics
Group Theory
This is a collection of open problems in group theory proposed by hundreds of
mathematicians from all over the world. It has been published every 2--4 years
since 1965. This is the 20th edition, which contains 126 new problems and a
number ...
Implementing a Quantum CNOT and Quantum Memory Using a Quantum-Dot
Cellular Automata Array
December 19, 2013
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Physics
Quantum Physics
In this work, we develop a method to use Quantum- Dot Cellular Automata (QCA)
for universal quantum computing. This method is based conceptually on
refocusing in NMR systems. We show how an array of QCA cells can be used for
isolated single...
Third-order correction to top-quark pair production near threshold I.
Effective theory set-up and matching coefficients
December 17, 2013
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Physics
High Energy Physics - Phenomenology
This is the first in a series of papers, in which we compute the third-order
QCD corrections to top-antitop production near threshold in e+ e- collisions.
The present paper provides a detailed outline of the strategy of computation in
the f...
On the Plaque Expansivity Conjecture
November 27, 2013
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Mathematics
Dynamical Systems
Dynamical Systems
It is one of the main properties of uniformly hyperbolic dynamics that points
of two distinct trajectories cannot be uniformly close one to another. This
characteristics of hyperbolic dynamics is called expansivity. Hirsch, Pugh and
Shub, 1...
Categorical Cell Decomposition of Quantized Symplectic Algebraic
Varieties
November 26, 2013
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Mathematics
Algebraic Geometry
Quantum Algebra
Symplectic Geometry
We prove a new symplectic analogue of Kashiwara's Equivalence from D-module
theory. As a consequence, we establish a structure theory for module categories
over deformation quantizations that mirrors, at a higher categorical level, the
Bial...