Hawking radiation via tachyon condensation and its implications to tachyon cosmology

Hawking radiation can be derived from the collapsing process of matter to form a black hole. In this work, we show in more detail that the freely infalling process of a probe (D-)particle (or point-like object) in a non-extreme black hole background is essentially a tachyon condensation process. That is, a probe D-particle will behave as an unstable D-particle in the near-horizon region of a non-extreme black hole. From this point of view, Hawking radiation can be viewed as the thermal radiation from rolling tachyon on an unstable D-particle (i.e., the infalling probe) at the Hagedorn temperature. The result has interesting implications to tachyon cosmology: the uniform tachyon rolling in cosmology can automatically create particle pairs at late times, via a mechanism just like the Hawking radiation process near a black hole. So this particle creation process can naturally give rise to a hot universe with thermal perturbations beyond tachyon inflation, providing an alternative reheating mechanism.Comment: 22 page

Global geoid model GGM2022

We provide an updated 5 $^\prime$ $\times$ 5 $^\prime$ global geoid model GGM2022, which is determined based on the shallow layer method (Shen method). First, we choose an inner surface $\Gamma$ below the EGM2008 global geoid by 15 m, and the layer bounded by the inner surface $\Gamma$ and the Earth's geographical surface $S$ is referred to as the shallow layer. The Earth's geographical surface $S$ is determined by the digital topographic model DTM2006.0 combining with the DNSC2008 mean sea surface. Second, we formulate the 3D shallow mass layer model using the refined 5 $^\prime$ $\times$ 5 $^\prime$ crust density model CRUST$_-$re , which { is an improved 5 $^\prime$ $\times$ 5 $^\prime$ density model of the CRUST2.0 or CRUST1.0 with taking into account the corrections of the areas covered by ice sheets and the land-ocean crossing regions. Third, based on the shallow mass layer model and the gravity field EGM2008 that is defined in the region outside the Earth's geographical surface $S$, we determine the gravity field model EGM2008s that is defined in the whole region outside the inner surface $\Gamma$, where the definition domain of the gravity field is extended from the domain outside $S$ to the domain outside $\Gamma$. Fourth, based on the gravity field EGM2008s and the geodetic equation $W(P)=W_0$ (where $W_0$ is the geopotential constant on the geoid and $P$ is the point on the geoid $G$), we determine a 5 $^\prime$ $\times$ 5 $^\prime$ global geoid, which is referred to as GGM2022. Comparisons show that the GGM2022 fits the globally available GPS/leveling data better than EGM2008 global geoid in the USA, Europe and the western part of China.Comment: 17 pages, 25 figure

Stochastic stability and moment Lyapunov exponent for co-dimension two bifurcation system with a bounded noise

In this paper, the pth moment Lyapunov exponent of a co-dimension two bifurcation system that is parametrically excited by a real noise is investigated. By a linear stochastic transformation, the eigenvalue problem of moment Lyapunov exponent is obtained. Then through perturbation method, we deduce the joint probability density function of the phase processes and its eigenvalue problem, which is solved by a Fourier cosine series expansion. Thus, an infinite matrix yields and whose leading eigenvalue is the second order of the asymptotic expansion of the moment Lyapunov exponent. Because of the complexity of elements in matrix A, the eigenvalues of the low order sub-matrices of A are obtained by the truncation of n and the convergence of the eigenvalue sequence is numerically illustrated. Finally, the effects of the system and noise parameters on the moment Lyapunov exponent are discussed