Cao Shenglin

Theory of relativity and super-luminal speeds. IV : The catastrophe of the Schwarzschild field and superluminal expansion of extragalactic radio sources

It is possible that the Finsler space-timeF(x, y) may be endowed with a catastrophic nature. In particular, the horizon of the field of the general relativity is just a catastrophic set. If so, a particle with the super-luminal speeds could be projected near the horizon of these fields, and the particle will move on the space-like curves. It is very interesting that, in the Schwarzschild fields, the theoretical calculation as the space-like curves should be in agreement with the data of the superluminal expansion of extragalactic radio sources observed year after year.

The theory of relativity and super-luminal speeds. III: The catastrophe of the space-time on the Finsler metric

According to the different properties between the ds2 and the ds4, it is discussed that the space-time will have the catastrophe nature on the Finsler metric ds4 (see Cao, 1990, Paper II). The space-time transformations and the physical quantities will suddenly change at the catastrophe theory of the space-time. It will be supposed that only the dual velocity of the super-luminal-speed could be observed (see Cao, 1988). If so, a particle with the super-luminal-speedv>c, could be regarded as its anti-particle with the dual velocityv1=c2/v

The theory of relativity and super-luminal-speeds. I: Kinematical part

According to some local properties of Lorentz transformation, Einstein stated: ‘Velocities greater than that of light have no possibility of existence’. He neglected to point out the applicable range of the special theory of relativity. In fact, it could only be applied to the subluminal-speed. This paper shows that if we think of the possibility of the existence of the superluminal-speed and redescribe the special theory of relativity following Einsteins way, a new kinematic theory would be founded. The new theory would retain all kinematical meaning of the special theory of relativity when matters move with subluminal-speed and would give new content when matters move with superluminal-speed. The paper also discusses the observation principle for the motions with superluminal-speed.

A determination of the K-correction for quasars

Abstract The K -correction is made up of an emission line component and a continuum component. These two components are iteratively determined in this paper from line widths and intensities, redshifts, U , B , V colours and radio spectral indices for 355 quasars. The colors B - V and U - B , corrected for the emission line portion of the K -correction, are plotted against Z , giving 2 mean relations. Eliminating Z between these gives a mean optical continuum, which is then used to calculate the continuum portion of the K -correction.

Energy Dependence of Profile Width in Short Gamma-Ray Bursts

Using the high time-resolution and 64 ms resolution data of the burst and transient source experiment, we performed an autocorrelation analysis of the energy dependence of burst pulse width in short gamma-ray bursts. A method free from potential cosmological effects has been proposed. This allows us to use a sample with a size comparable to that used for long and bright bursts. Our result shows that the profiles of short bursts exhibit a very good power-law between profile width and photon energy, with an index ~ -0.3. This result is consistent with a united origin of the bimodal distribution.

Catastrophe of Spacetime in the Early Universe

According to the some interesting subjects in the process of evolution of the universe, it is discussed that the catastrophe nature of the Finsler spacetime and its cosmological meaning. It is shown that the nature of evolution of the universe could be attributed to the geometric feature of the Finsler spacetime.

Characteristic actions ħ(s) in the structure of the universe

AbstractIt is suggested that gravitationally bound systems in the Universe can be characterized by a set of actions ħ(s). The actions

Characteristic actions h(s) in the structure of the universe. The angular momentum mass relation of astronomical systems

\hbar ^{\left( s \right)} = \left( {{\hbar \mathord{\left/ {\vphantom {\hbar {\frac{1}{{2\pi }}\frac{{C^5 }}{{GH_0^2 }}}}} \right. \kern-\nulldelimiterspace} {\frac{1}{{2\pi }}\frac{{C^5 }}{{GH_0^2 }}}}} \right)^{s/6} \left( {\frac{1}{{2\pi }}\frac{{C^5 }}{{GH_0^2 }}} \right)