The problem `Exploring Mount Neverest' by Henry Ernest Dudeney is solved.
Dudeney formulated the problem in the beginning of the 20th century and gave a
non-optimal solution (without estimating the non-optimality)....
Quantum-classical phase transition with spontaneous superposition
breaking (basic characteristics)
July 15, 2010
Physics
Quantum Physics
In this work we consider basic characteristics of a quantum-classical
continuous phase transition with spontaneous (non-dynamical) unitary symmetry
(superposition) breaking (effective hiding). We clearly demonstrate that
collapse (transitio...
Single photon interference, photon-detector entanglement and collapse as
a quantum-classical phase transition
June 11, 2010
Physics
Quantum Physics
In this work we consider various experiments of single or two photon
interference at beam splitter with or without photon trajectories and
coordinates (selective) detection. Especially we consider quantum dynamical
interaction between photo...
Anti-de Sitter gauge theory for gravity
June 8, 2010
Physics
General Relativity and Quantum Cosmology
First a review is given of Riemann-Cartan space-time and Einstein-Cartan
gravity. This gives us the necessary tools to handle the SO(2,3) Yang-Mills
gauge theory for gravity. Field equations are obtained from a Yang-Mills gauge
field Lagran...
We construct multidimensional interpolating tensor product MRA's of the
function spaces C0(Rn,K), K=R or K=C,
consisting of real or complex valued functions on Rn vanishing at
infinity and ...
Dichotic harmony for the musical practice
May 14, 2010
Computer Science
Electrical Engineering and Systems Science
Sound
Audio and Speech Processing
The dichotic method of hearing sound adapts in the region of musical harmony.
The algorithm of the separation of the being dissonant voices into several
separate groups is proposed. For an increase in the pleasantness of chords the
differen...
The χ2-divergence and Mixing times of quantum Markov processes
May 13, 2010
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Physics
Mathematics
Quantum Physics
Mathematical Physics
Mathematical Physics
We introduce quantum versions of the χ2-divergence, provide a detailed
analysis of their properties, and apply them in the investigation of mixing
times of quantum Markov processes. An approach similar to the one presented in
[1-3] fo...
Bullet Cluster: Remarkable Revelations and Enduring Insights -- Part I
May 9, 2010
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Physics
Cosmology and Nongalactic Astrophysics
This study unveils new insights into the Bullet Cluster through cm-wave
observations made with the Australia Telescope Compact Array, focusing on the
Sunyaev-Zeldovich Effect (SZE). A novel SZE feature was discovered,
distinctively offset f...
Smooth structure on the moduli space of instantons of a generic vector
field
April 12, 2010
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Mathematics
Geometric Topology
Dynamical Systems
Geometric Topology
Dynamical Systems
This paper is a short version of some joint work with Stefan Haller. It
describes the structure of "smooth manifold with corners" on the space of
possibly broken instantons and on the completion of unstable manifolds of a
generic smooth vec...
A Polynomial time Algorithm for Hamilton Cycle with maximum Degree 3,
3SAT
April 12, 2010
Computer Science
Data Structures and Algorithms
Based on the famous Rotation-Extension technique, by creating the new
concepts and methods: broad cycle, main segment, useful cut and insert,
destroying edges for a main segment, main goal Hamilton cycle, depth-first
search tree, we develop...