Unfolding the Labyrinth: Open Problems in Mathematics, Physics, Astrophysics, and Other Areas of Science
arXiv:math/0609238
Abstract
Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astro-physics, geophysics etc. It is of our hope that some of the problems discussed in this book will find their place either in theoretical exploration or further experiments, while some parts of these problems may be found useful for scholarly stimulation. The present book is also intended for young physics and mathematics fellows who will perhaps find the unsolved problems described here are at least worth pondering. If this book provides only a few highlights of plau-sible solutions, it is merely to keep the fun of readers in discovering the answers by themselves.
139 pages, many figures
References in corpus (26)
- Superfluid analogies of cosmological phenomena
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- Precession of isolated neutron stars I: Effects of imperfect pinning
- Three-dimensional simulations of the interstellar medium in dwarf galaxies - I. Ram pressure stripping
- Conformal Invariance and Cosmic Background Radiation
- Superstatistics in hydrodynamic turbulence
- Gravitational structure formation in scale relativity
- Vortices and invariants surfaces generated by symmetries for the 3D Navier-Stokes equations
- An alternative theoretical approach to describe planetary systems through a Schrodinger-type diffusion equation
- "Cherenkov radiation" of a sound in a Bose-condensed gas
- Exact, E=0, Solutions for General Power-Law Potentials. I. Classical Orbits
- Kinetics and Boltzmann kinetic equation for fluctuation Cooper pairs
- Astrophysical Fractals: Interstellar Medium and Galaxies
- Vacuum in quantum liquids and in general relativity
- Topology and Turbulence
- The Wave Mechanics of Large-scale Structure
- Hot Points of the Wave Universe Concept: New World of Megaquantization
- Physical Framework of Quantization Problem
- Hypercrystalline vacua
- Comment on fractality of quantum mechanical energy spectra
- Quantization of Masses in the Solar System
- Development of the Universe and New Cosmology
- A Topological Extension of General Relativity
- Evidence for Hydro-Gravitational Structure Formation Theory versus Cold-Dark-Matter, Hierarchical-Clustering, and Jeans 1902
- Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information
- An outline of Weyl geometric models in cosmology