The phenomenon of broken spacetime symmetry in the quantum theory of infinite systems seems to point toward an unorthodox ontology. The standard conception of the physical meaning of these symmetries, as changes in coordinates, conflicts with the apparent physical inequivalence of symmetry-related states. I argue that this apparent conflict is an artifact a subtle error in the extant account of...

We investigate the validity of Thorne’s hoop conjecture in non-axisymmetric spacetimes by examining the formation of apparent horizons numerically. If spaces have a discrete symmetry about one axis, we can specify the boundary conditions to determine an apparent horizon even in non-axisymmetric spaces. We implement, for the first time, the “hoop finder” in non-axisymmetric spaces with a discret...

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in two-dimensional system chiral symmetry class AIII by combining finite-size scaling, transport, density states, and multifractality studies. The results are agreement with the $\ensuremath{\sigma}$-model renormalization-group theory where MIT is driven proliferation vortices. determine phase diagram find an appa...

We examine how the properties of inhomogeneous nuclear matter at subnuclear densities depend on the density dependence of the symmetry energy. We focus on a parameter that characterizes the density dependence of the symmetry energy S(n) at about nuclear density n0. It is the density symmetry coefficient L = 3n0(dS/dn)n=n0 . From the saturation properties of stable nuclei, we find that the usual...