When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this subject is forgotten in history. This is largely because of the emergence of quantum mechanics with wave-particle duality. Instead of Lorentz-boosting rigid bodies, we now boost waves and have to deal with Lorentz transformations of waves. We now have some nderstanding of plane waves or running waves in the covariant picture, (...) but we do not yet have a clear picture of standing waves. In this report, we show that there is one set of standing waves which can be Lorentz-transformed while being consistent with all physical principle of quantum mechanics and relativity. It is possible to construct a representation of the Poincaré group using harmonic oscillator wave functions satisfying space-time boundary conditions. This set of wave functions is capable of explaining the quantum bound state for both slow and fast hadrons. In particular it can explain the quark model for hadrons at rest, and Feynman’s parton model hadrons moving with a speed close to that of light. (shrink)

In this study, complex dynamics of Briggs–Rauscher reaction system is investigated analytically and numerically. First, the Briggs–Rauscher reaction system is reduced into a new nonlinear parametric oscillator. The Melnikov method is used to derive the condition of the appearance of horseshoe chaos in the cases ω = Ω and ω ≠ Ω. The performed numerical simulations confirm the obtained analytical predictions. Second, the prediction of coexisting attractors is investigated by solving numerically the new nonlinear parametric ordinary differential equation via the (...) fourth-order Runge–Kutta algorithm. As results, it is found that the new nonlinear chemical system displays various coexisting behaviors of symmetric and asymmetric attractors. In addition, the system presents a rich variety of bifurcations phenomena such as symmetry breaking, symmetry restoring, period doubling, reverse period doubling, period-m bubbles, reverse period-m bubbles, intermittency, and antimonotonicity. On the contrary, emerging chaotic band attractors and period-1, period-3, period-9, and period-m bubbles routes to chaos occur in this system. (shrink)

The equations of state for the ideal classical gas are generalized with two characteristic constants known as the state indices. A simple and complete representation is developed for the super-ideal gas, with explicit results which are general enough to cover a wide range of equilibrium systems and states. Evidence and justification are provided in terms of examples and results of statistical physics. The new model should prove useful for treating problems involving physical behavior and properties which might otherwise call for (...) specialized or advanced methods of statistical mechanics. (shrink)

Annual changes in twinning and triplet rates by zygosity were investigated in eight countries during the period 19721999.

Meanings have an empirical genesis and status. This simple claim has often been denied or ignored. Some metaphysicians in their exaltation of the eternal have regarded meanings as essences, or eternal objects, or neutral entities, in a subsistential or supernatural realm that is changeless and has no roots in nature. Some logicians in their zest to manipulate meanings isolate them so completely as forms of reason, or as syntactical symbols that at no point is their connection with natural events made (...) intelligible. Yet meanings, all meanings, have relation to mind. It is this empirical, psychological aspect of meaning that I shall analyze. The larger philosophic question as to what the relation of the psychological aspect is to the metaphysical or the logical will not concern us except indirectly. (shrink)

This paper explores the value of respect for personal autonomy in relation to clearly immoral and irrational acts committed freely and intentionally by competent people. Following Berlin's distinction between two kinds of liberty and Darwall's two kinds of respect, it is argued that coercive suppression of nonautonomous, irrational, and self-harming acts of competent persons is offensive to their human dignity, but not disrespectful of personal autonomy. Irrational and immoral choices made by competent people may claim only the negative liberty to (...) be left alone. Lives disposed to autonomy are worthy of solidarity and active support in addition to the right of free choice and action. Autonomous premeditated desires (distinguished from mere consent) may embody transcendental choices, which transcend consideration of physical and psychological well-being. Choices made by incompetent persons (e.g., children and the mentally disabled) are not related to autonomy, but to self-directedness. The value of human dignity confers protection to self-directedness, but not at the expense of other vital interests. (shrink)

In his paper ‘On what there’s not’, Joseph Melia disavows commitment to the existence of objects like average mothers, possibilities, numbers, etc. Since quantification over such objects is at times unavoidable, Melia tries to argue that we can deny the existence of such objects despite the fact that our (true) theories of the world quantify over them. Melia calls this ‘weaseling’. In this paper, I argue that these assumptions of Melia’s render his position incoherent.

Recently implemented Chinese health insurance schemes have failed to achieve a Chinese health care system that is family-oriented, family-based, family-friendly, or even financially sustainable. With this diagnosis in hand, the authors argue that a financially and morally sustainable Chinese health care system should have as its core family health savings accounts supplemented by appropriate health insurance plans. This essay’s arguments are set in the context of Confucian moral commitments that still shape the background culture of contemporary China.

The American Journal of Bioethics, Volume 12, Issue 3, Page 37-39, March 2012.

In presence of predator population, the prey population may significantly change their behavior. Fear for predator population enhances the survival probability of prey population, and it can greatly reduce the reproduction of prey population. In this study, we propose a predator-prey fishery model introducing the cost of fear into prey reproduction with Holling type-II functional response and prey-dependent harvesting and investigate the global dynamics of the proposed model. For the system without harvest, it is shown that the level of fear (...) may alter the stability of the positive equilibrium, and an expression of fear critical level is characterized. For the harvest system, the existence of the semitrivial order-1 periodic solution and positive order- q periodic solution is discussed by the construction of a Poincaré map on the phase set, and the threshold conditions are given, which can not only transform state-dependent harvesting into a cycle one but also provide a possibility to determine the harvest frequency. In addition, to ensure a certain robustness of the adopted harvest policy, the threshold condition for the stability of the order- q periodic solution is given. Meanwhile, to achieve a good economic profit, an optimization problem is formulated and the optimum harvest level is obtained. Mathematical findings have been validated in numerical simulation by MATLAB. Different effects of different harvest levels and different fear levels have been demonstrated by depicting figures in numerical simulation using MATLAB. (shrink)