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Einstein's vierbein field theory of curved space
vierbein, general relativity, gravitational gauge theory, Dirac equation in curved space
2011/9/13
General Relativity theory is reviewed following the vierbein field theory approach proposed in 1928 by Einstein. It is based on the vierbein field taken as the “square root” of the metric tensor field...
Lorentz invariance, nonzero minimal uncertainty in position, and inhomogeneity of space at the Planck scale
Lorentz invariance nonzero minimal uncertainty
2010/12/24
The suspicion that the existence of a minimal uncertainty in position measurements violates Lorentz invariance seems unfounded. It is shown that the existence of such a nonzero minimal uncertainty in...
Phase space spinor amplitudes for spin 1/2 systems
Phase space spinor amplitudes spin 1/2 systems
2010/11/5
The concept of phase space amplitudes for systems with continuous degrees of freedom is generalized to finite-dimensional spin systems. Complex amplitudes are obtained on both a sphere and a finite la...
Dynamical mass generation via space compactification in graphene
Dynamical generation via space compactification in graphene
2010/11/11
Fermions in a graphene sheet behave like massless particles. We show that by folding the sheet into a tube they acquire non-zero effective mass as they move along the tube axis. That is, changing the...
Numerical relativity for D dimensional axially symmetric space-times: formalism and code tests
D dimensional axially symmetric space-times Baumgarte, Shapiro, Shibata and Nakamura
2010/3/17
The numerical evolution of Einstein's field equations in a generic background has the potential to answer a variety of important questions in physics: from applications to the gauge-gravity duality, t...
The Super-Poincaré Algebra Via Pure Spinors and the Interaction Principle in 3D Euclidean Space
The Super-Poincaré Algebra Pure Spinors 3D Euclidean Space
2010/10/18
The Poincar´e superalgebra is introduced from a generalization of the Cartan’s triality principle based on the extension of Chevalley product, between semispinor spaces and even subspaces of the...
Global Results in Space of Inter-Monomer Interactions for HP Lattice Model
Global Results Inter-Monomer Interactions HP Lattice Model
2010/4/15
Using the ground state candidates for Hydrophobic-Polar lattice model on a two dimensional square lattice, we exactly enumerate the native states of proteins with length up to 20 for a wide range of e...
