Similarity in a distance

I grew up in an interesting yet contradictory environment. As both of my parents were busy with their jobs, I was raised by my grandparents and I believe that’s where the contradiction aspect of my personality came. My grandfather was a professor of physics in a university and my grandmother was a professor of violin. Unconsciously, I was influenced by them and developed a keen interest in cross-disciplinary and cross-media subjects. The two subjects of music and physics represented art and science, emotion and reason, abstraction and concreteness, and invisible and visible to me. My work is primarily engaged with the combination of science and art. I draw inspiration from art and combine it with scientific foundation. My research includes quantum physics, quantum entanglement and emotive therapy. The focus of my research is not to reveal difficult or avant-garde scientific technologies today, but to achieve creativity—taking artistically designed work as a communication channel with the public to inspire people with the possibility for future communication development. The work I designed can be referred to as the “Human Instrumentality Project”1, which I think is very challenging. I’m also attracted to the relation between science and the tales of science. I’ve heard about many interesting tales of science, some of which originated from the observation and deduction of the ancient people towards the universe, the heaven and the earth. Many surprising inspirations can be acquired if you study in this direction

Hardy spaces associated with the Dunkl setting on the real line

We do research on the real method of Hardy spaces associated with the Dunkl setting on the real line for the range of 0<p<=1

The Inconceivable Popularity of Conceivability Arguments

Famous examples of conceivability arguments include (i) Descartes’ argument for mind-body dualism, (ii) Kripke's ‘modal argument’ against psychophysical identity theory, (iii) Chalmers’ ‘zombie argument’ against materialism, and (iv) modal versions of the ontological argument for theism. In this paper, we show that for any such conceivability argument, C, there is a corresponding ‘mirror argument’, M. M is deductively valid and has a conclusion that contradicts C's conclusion. Hence, a proponent of C—henceforth, a ‘conceivabilist’—can be warranted in holding that C's premises are conjointly true only if she can find fault with one of M's premises. But M's premises are modelled on a pair of C's premises. The same reasoning that supports the latter supports the former. For this reason, a conceivabilist can repudiate M's premises only on pain of severely undermining C's premises. We conclude on this basis that all conceivability arguments, including each of (i)–(iv), are fallacious

New predictions on the mass of the 1−+1^{-+} light hybrid meson from QCD sum rules

We calculate the coefficients of the dimension-8 quark and gluon condensates in the current-current correlator of $1^{-+}$ light hybrid current $g\bar{q}(x)\gamma_{\nu}iG_{\mu\nu}(x)q{(x)}$. With inclusion of these higher-power corrections and updating the input parameters, we re-analyze the mass of the $1^{-+}$ light hybrid meson from Monte-Carlo based QCD sum rules. Considering the possible violation of factorization of higher dimensional condensates and variation of $\langle g^3G^3\rangle$, we obtain a conservative mass range 1.72--2.60\,GeV, which favors $\pi_{1}(2015)$ as a better hybrid candidate compared with $\pi_{1}(1600)$ and $\pi_{1}(1400)$.Comment: 12pages, 2 figures, the version appearing in JHE

Qualitative properties of solutions for system involving fractional Laplacian

In this paper, we consider the following nonlinear system involving the fractional Laplacian \begin{equation} \left\{\begin{array}{ll} (-\Delta)^{s} u (x)= f(u,\,v), \\ (-\Delta)^{s} v (x)= g(u,\,v), \end{array} \right. (1) \end{equation} in two different types of domains, one is bounded, and the other is unbounded, where $0<s<1$. To investigate the qualitative properties of solutions for fractional equations, the conventional methods are extension method and moving planes method. However, the above methods have technical limits in asymmetric and convex domains and so on. In this work, we employ the direct sliding method for fractional Laplacian to derive the monotonicity of solutions for (1) in $x_n$ variable in different types of domains. Meanwhile, we develop a new iteration method for systems in the proofs which hopefully can be applied to solve other problems

On the Dirichlet problem for fractional Laplace equation on a general domain

In this paper, we study Dirichlet problems of fractional Laplace (Poisson) equations on a general bounded domain in $\mathbb{R}^n$. Green's functions and Poisson kernels are important tools needed in our study. We first establish the existence of Green's function by an application of Perron's method. After that, the Poisson kernel is constructed based on the Green's function. Several important properties of Green's functions and Poisson kernels are proved. Finally, we show that the solution of a fractional Laplace (Poisson) equation under a given condition must be unique and be given by our Green's function and Poisson kernel