Searcharxiv⌕ Search

arXiv subjects

Jin He

Publications and source records attributed to Jin He.

20 records · Page 2Linked to original sources

The Possibility of Curved Spacetime, Black Holes, and Big Bang is Less than One Billionth

Gravity whose nature is fundamental to the understanding of solar system, galaxies and the structure and evolution of the Universe, is theorized by the assumption of curved spacetime, according to Einstein`s general theory of relativity (EGR). Particles move on curved spacetime along straight lines (geodesics). In the last year, I proposed the mirrored version of EGR, the flat-spacetime general relativity (FGR), in which particles move along curved lines on flat spacetime. This puts gravitational study back to the traditional Lagrangian formulation. In fact, all claimed accurate verification of general relativity is the verification of FGR, because people when confronting GR to observational data, calculate time, distance, or angle by directly using the coordinates in Schwarzschild solution or in post Newtonian formulation. For example, people calculate the angles by directly using the coordinate $ϕ$. However, only when spacetime is flat does there exists one coordinate system which has direct meaning of time, distance, angle, and vice verse. This is the famous Riemann theorem. Therefore, the more claims are made that classical tests of general relativity fit data with great accuracy, the more falsified is the curved-spacetime assumption. People made three such specious claims to EGR as collected in the present paper. However, FGR predicts observationally verified results consistently for solar system, galaxies, and the universe on the whole. I show that the possibility of curved spacetime, black holes, and big bang is less than one billionth. An experiment is proposed whose results will completely decide the fate of curved spacetime assumption. with the original article `Einstein`s Geometrization vs. Holonomic Cancellation of Gravity via Spatial Coordinate-rescale` attached.

astro-ph↗

A Symmetry-induced Model of Elliptical Galaxy Patterns

Sérsic (1968) generalized the de Vaucouleurs law which follows the projected (observed) one dimensional radial profile of elliptical galaxies closely and Dehnen (1993) proposed an analytical formula of the 3-dimensional light distributions whose projected line profile resembles the de Vaucouleurs law. This paper is involved to recover the Dehnen model and generalize the model to account for galaxy elliptical shapes by means of curvilinear coordinate systems and employing a symmetry principle. The symmetry principle maps an orthogonal coordinate system to a light distribution pattern. The coordinate system for elliptical galaxy patterns turns out to be the one which is formed by the complex-plane reciprocal transformation $Z=1/W$. The resulting spatial (3-dimensional) light distribution is spherically symmetric and has infinite gradient at its centre, which is called spherical-nucleus solution and is used to model galaxy central area. We can make changes of the coordinate system by cutting out some column areas of its definition domain, the areas containing the galaxy centre. The resulting spatial (3-dimensional) light distributions are axisymmetric or triaxial and have zero gradient at the centre, which are called elliptical-shape solutions and are used to model global elliptical patterns. The two types of logarithmic light distributions are added together to model full elliptical galaxy patterns. The model is a generalization of the Dehnen model. One of the elliptical-shape solutions permits realistic numerical calculation and is fitted to all R-band elliptical images from the Frei {\it et al.}(1996)'s galaxy sample. The fitting is satisfactory. This suggests that elliptical galaxy patterns can be represented in terms of a few basic parameters.

astro-ph↗