Gravitational collapse into a black hole has been extensively studied with classical sources. We develop new formalism to simulate quantum fields forming hole. By choosing convenient coherent state, this taps well-established techniques used for and adds on the evolution of mode functions field operator. Divergences are regularized cosmological constant Pauli-Villars fields. Using massless sphe...

A bstract I investigate the higher-derivative conformal theory which shows how Nambu-Goto and Polyakov strings can be told apart. Its energy-momentum tensor is conserved, traceless but does not belong to family of unit operator. To implement invariance in such a case develop new technique that explicitly accounts for quantum equation motion results singular products. show transformations genera...

We present an analysis of excited-state solutions for a gravitationally localized system consisting filled shell high-angular-momentum fermions, using the Einstein-Dirac formalism introduced by Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999)]. show that, even when particle number is relatively low ($N_f\ge 6$), increased nonlinearity in causes significant deviation behavior from two-f...

This paper aims at investigating the influence of space-time curvature on uncertainty relation. In particular, relying previous findings, we assume quantum wave function to be confined a geodesic ball given space-like hypersurface whose radius is measure position uncertainty. On other hand, concurrently work out viable physical definition momentum operator and its standard deviation in non-rela...

Legal formalism and legal relationalism are traditionally thought of as defining opposite poles of jurisprudential analysis. This study develops the notion of “relational formalism” as it emerges from practices of commercial law and from linguistic theory. As an interpretation of practice, relational formalism—although maintaining the precedence of formalist construction over functional analysi...

In this paper we present a general formalism for the establishment of the family of selective partial update affine projection algorithms (SPU-APA). The SPU-APA, the SPU regularized APA (SPU-R-APA), the SPU partial rank algorithm (SPU-PRA), the SPU binormalized data reusing least mean squares (SPU-BNDR-LMS), and the SPU normalized LMS with orthogonal correction factors (SPU-NLMS-OCF) algorithms...

The large deviations at Level 2.5 are applied to Markov processes with absorbing states in order obtain the explicit extinction rate of metastable quasi-stationary terms their empirical time-averaged density and flows over a time-window $T$. standard spectral problem for slowest relaxation mode can be recovered from full optimization all these observables equivalence understood via Doob generat...

in this study, polyaniline molecule (emeraldine base) is modeled as a molecular wire and the effects of the metal/molecule coupling strength and the molecule length on the current-voltage (i-v) characteristics are numerically investigated. using a tight-binding hamiltonian model, the methods based on non-equilibrium green’s function theory, landauer formalism and newns-anderson model, our calcu...