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We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and cont...
Rethinking on Space-Time     Universal Gravitation  Field  Time       font style='font-size:12px;'> 2015/6/4
People used to establish physical laws on the mathematical frame directly, without considering the existence of the No-Shape-Substance. We believe such physical laws are separated from their nature. S...
Universal entropy bound and discrete space-time     entropy bound  discrete space-time       font style='font-size:12px;'> 2011/9/29
Starting from the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation, we get a cut-off of space x ≥ lP with  ≥ 0.1. We go further ...
Abstract: It is given a simple proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time. It is shown that the codimension of the infinity stable attractor, restricted to the a...
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
We compare the Arnowitt-Deser-Misner (ADM) field decomposition with the Non-Relativistic Gravitational (NRG) fields for the purpose of computing the two-body post-Newtonian (PN) effective action withi...
We describe a concise general scheme for constructing solutions of Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time interacting self-consistently with one or more (widely separate...
We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form fi...
Scalar Field in Non-commutative Curved Space time     Scalar Field  Non-commutative Curved Space time       font style='font-size:12px;'> 2010/12/24
We will study the theory of scalar field in non-commutative curved space time (NCCST) with a percussionist who has been found by Mebaraki. In this paper, the motion equation of the scalar field will ...
Relativistic Particles on Quantum Space-time     Relativistic Particles  Quantum Space-time       font style='font-size:12px;'> 2010/12/23
We discuss alternatives to the usual quantization of relativistic particles which result in discrete spectra for position and time operators
We discuss the low-curvature regime of time-dependent matrix theories proposed to describe non-perturbative quantum gravity in asymptotically plane-wave space-times. The emergence of near-classical sp...
We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstr¨om space-time in terms of the Weierstraß },  and  elliptic functions...
We describe a concise general scheme for constructing solutions of Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time interacting selfconsistently with one or more (widely separated...
We compare the Arnowitt-Deser-Misner (ADM) field decomposition with the Non-Relativistic Gravitational (NRG) fields for the purpose of computing the two-body post-Newtonian (PN) effective action withi...
It is shown that in a Minkowski space of total space-time dimension D = d + 1, the orbits of the planetary motion are stable only if the total dimension of space-time is D  4. The proof is performed ...

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