Newton already mentioned indivisible time in Principia. In 1899, Max Planck derived a unique time period from three universal constants: G, c, and ħ, and today this is known as the Planck time. The Planck time is of t...Newton already mentioned indivisible time in Principia. In 1899, Max Planck derived a unique time period from three universal constants: G, c, and ħ, and today this is known as the Planck time. The Planck time is of the order of about 10<sup>−44</sup> seconds while the best atomic clocks are down to 10<sup>−19</sup> seconds. An approach has recently been outlined that puts an upper limit on the quantization of time to 10<sup>−33</sup> seconds;this is, however, still far away from the Planck time. We demonstrate that the Planck time can easily be measured without any knowledge of any other physical constants. This is remarkable as this means we have demonstrated that the Planck time and therefore the Planck scale is real and detectable. It has taken more than 100 years to understand this. The reason for the breakthrough in Planck scale physics in recent years comes from understanding that G is a composite constant and that the true matter wavelength is the Compton wavelength rather than the de Broglie wavelength. When this is understood, the mysteries of the Planck scale can be uncovered. In this paper, we also demonstrate how to measure the number of Planck events in a gravitational mass without relying on any constants. This directly relates to a new and simple method for quantizing general relativity theory that we also will shortly discuss.展开更多
As the concluding part of a series of essays on theories of humanity in the Zhuangzi, this essay aims at describing the theme of qing't (emotion) as a dual-directional attitude towards qing as a partner to xing ' ...As the concluding part of a series of essays on theories of humanity in the Zhuangzi, this essay aims at describing the theme of qing't (emotion) as a dual-directional attitude towards qing as a partner to xing ' (nature) and the influence of this domain of thought on later generations and their continued discussion of it. Faced with a forcible divorce of qing and xing at the hand of Han Dynasty Ruists, which would lock perceptions into a rigid dualist framework, the Wei and Jin period saw authors such as Wang Bi and Ji Kang return to a more faithful rendering of the theme of qing in the classics, the Laozi and Zhuangzi, seeing it become an ever more explicit philosophical topic and beginning a lengthy period of discussion of the theme of qing. In the Northern Song period, representative thinkers Zhang Zai and Wang Anshi The Northern Song tradition constitute a continuance of Pre-Qin Daoist philosophical ideas, providing a logical reinterpretation of the indivisibility of qing and xing from a syncretist approach to the Daoist and Ruist traditions, in a way that drastically differs from the Southern Song preference for xing at the cost of qing, as represented by thinkers such as the Brothers Cheng and Zhu Xi. At the bottom of it, this continued tradition draws from themes that appear in the Zhuangzi, a holistic approach to life and the relationship between humanity and nature, an important and continuous thread in the fabric of human civilisation.展开更多
Using a measure for the divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a spin-S system, which is in an external field and weakly coupled to a bosonic bath with a certai...Using a measure for the divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a spin-S system, which is in an external field and weakly coupled to a bosonic bath with a certain temperature. The finite-temperature dynamics of the open system is obtained by the time-convolutionless master equation in the secular approximation. Besides the influence of the environmental spectral density function, the external field and low temperatures can affect the quantum non-Markovianity. It is found out that the non-Markovian feature of a dynamical map of a high-dimensional spin system is noticeable in contrast to that of a low-dimension spin system.展开更多
文摘Newton already mentioned indivisible time in Principia. In 1899, Max Planck derived a unique time period from three universal constants: G, c, and ħ, and today this is known as the Planck time. The Planck time is of the order of about 10<sup>−44</sup> seconds while the best atomic clocks are down to 10<sup>−19</sup> seconds. An approach has recently been outlined that puts an upper limit on the quantization of time to 10<sup>−33</sup> seconds;this is, however, still far away from the Planck time. We demonstrate that the Planck time can easily be measured without any knowledge of any other physical constants. This is remarkable as this means we have demonstrated that the Planck time and therefore the Planck scale is real and detectable. It has taken more than 100 years to understand this. The reason for the breakthrough in Planck scale physics in recent years comes from understanding that G is a composite constant and that the true matter wavelength is the Compton wavelength rather than the de Broglie wavelength. When this is understood, the mysteries of the Planck scale can be uncovered. In this paper, we also demonstrate how to measure the number of Planck events in a gravitational mass without relying on any constants. This directly relates to a new and simple method for quantizing general relativity theory that we also will shortly discuss.
文摘As the concluding part of a series of essays on theories of humanity in the Zhuangzi, this essay aims at describing the theme of qing't (emotion) as a dual-directional attitude towards qing as a partner to xing ' (nature) and the influence of this domain of thought on later generations and their continued discussion of it. Faced with a forcible divorce of qing and xing at the hand of Han Dynasty Ruists, which would lock perceptions into a rigid dualist framework, the Wei and Jin period saw authors such as Wang Bi and Ji Kang return to a more faithful rendering of the theme of qing in the classics, the Laozi and Zhuangzi, seeing it become an ever more explicit philosophical topic and beginning a lengthy period of discussion of the theme of qing. In the Northern Song period, representative thinkers Zhang Zai and Wang Anshi The Northern Song tradition constitute a continuance of Pre-Qin Daoist philosophical ideas, providing a logical reinterpretation of the indivisibility of qing and xing from a syncretist approach to the Daoist and Ruist traditions, in a way that drastically differs from the Southern Song preference for xing at the cost of qing, as represented by thinkers such as the Brothers Cheng and Zhu Xi. At the bottom of it, this continued tradition draws from themes that appear in the Zhuangzi, a holistic approach to life and the relationship between humanity and nature, an important and continuous thread in the fabric of human civilisation.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11174114 and 11174363China Postdoctoral Science Foundation Funded Project No.2012M520494+1 种基金the Basic Research Funds in Renmin University of China from the Central Government Project No.13XNLF03the Natural Science in Nantong University under Grant No.03040813
文摘Using a measure for the divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a spin-S system, which is in an external field and weakly coupled to a bosonic bath with a certain temperature. The finite-temperature dynamics of the open system is obtained by the time-convolutionless master equation in the secular approximation. Besides the influence of the environmental spectral density function, the external field and low temperatures can affect the quantum non-Markovianity. It is found out that the non-Markovian feature of a dynamical map of a high-dimensional spin system is noticeable in contrast to that of a low-dimension spin system.