Entropy of a rotating and charged black string to all orders in the Planck length

Abstract

By using the entanglement entropy method, this paper calculates the statistical entropy of the Bose and Fermi fields in thin films, and derives the Bekenstein-Hawking entropy and its correction term on the background of a rotating and charged black string. Here, the quantum field is entangled with quantum states in the black string and thin film to the event horizon from outside the rotating and charged black string. Taking into account the effect of the generalized uncertainty principle on quantum state density, it removes the difficulty of the divergence of state density near the event horizon in the brick-wall model. These calculations and discussions imply that high density quantum states near the event horizon of a black string are strongly correlated with the quantum states in a black string and that black string entropy is a quantum effect. The ultraviolet cut-off in the brick-wall model is not reasonable. The generalized uncertainty principle should be considered in the high energy quantum field near the event horizon. From the viewpoint of quantum statistical mechanics, the correction value of Bekenstein-Hawking entropy is obtained. This allows the fundamental recognition of the correction value of black string entropy at nonspherical coordinates.

Production Logistics System Simulation about Automobile Parts Shop Based on Witness and E-Factory

“…The qualitative analysis is about the rationalization analysis, in which certain principles such as the two smallest and two avoidance [1] and 101 principle [2] are required to be followed, and the logistics system is evaluated from the aspects of handling workload and handling distance by the method of string diagram, multi-column process charts and logistics from to chart. The quantitative analysis is based on the theories and the methods of operations research to establish a mathematical model to minimize the cost and to find optimal results using appropriate optimization algorithms [3]. However, the mathematical model is difficult to establish analytically and accurately since the production logistics system is a kind of discrete event dynamic system.…”

Long distance quantum teleportation

“…In applications such as quantum repeater, the entanglement should be distributed before the BSM. Prior entanglement distribution was first realized by combining 1 km free-space channel and 645 m coiled optical fibre [32]. Active feed-forward operation was implemented by storing the other entangled photon in 800 m coiled optical fibre before the result of BSM was received.…”

“…In the BSM, a beam splitter tree is used to discriminate two out of four Bell states (one with 100% efficiency and the other with 50% efficiency) and two spools of 15-km-long optical fibre were used to delay the photons. As a result, in this experiment, three elements for applications in quantum network, say, independent photon sources, prior entanglement distribution [29,32] and active feed-forward operation were exploited in one experiment. In experiment with Calgary optical fibre network [42], as shown in figure 4(b), time-bin entangled photon-pairs and WCPs were generated in two distant nodes and sent to a third node between them for BSM, where one out of four Bell state was discriminated.…”