• Title/Summary/Keyword: Entanglement theory

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Quantum Entanglement of Dark Matter

  • Lee, Jae-Weon
    • Journal of the Korean Physical Society
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    • v.73 no.10
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    • pp.1596-1602
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    • 2018
  • We suggest that the dark matter in the universe has quantum entanglement if the dark matter is a Bose-Einstein condensation of ultra-light scalar particles. In this theory, any two regions of a galaxy are quantum entangled due to the quantum nature of the condensate. We calculate the entanglement entropy of a typical galactic halo, which turns out to be at least O(ln(M/m)), where M is the mass of the halo and m is the mass of a dark matter particle. The entanglement can be inferred from the rotation curves of the galaxy or the interference patterns of the dark matter density.

A Study on Existing Rubber Elasticity Theories for Stress-Strain Behavior of Rubber-like Networks

  • Meissner, B.
    • Elastomers and Composites
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    • v.38 no.2
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    • pp.157-166
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    • 2003
  • The Edwards-Vilgis slip-link theory and the Kaliske-Heinrich extended tube theory were tested experimentally using published experimental data on networks of natural and isoprene rubber and on polysiloxane networks. All parameters were adjusted to achieve an optimum fit. The data description obtained with the EV theory is not satisfactory and the parameter values tend to lie outside their reasonably expected range. But for the region of low strains, the Kaliske-Heinrich theory offers a satisfactorily accurate data description which is able to serve for practical purposes. Its crosslink term, however, is based on approximations which lead to a questionable prediction and values determined for the exponent in the entanglement term lie outside the range expected by the KH model. Thus, the title question cannot be given a positive answer. Conclusions published earlier that the trapped entanglements contribute both to the crosslink and constraint (entanglement) term are supported by the present data analysis. Experimental equibiaxial data on hydrocarbon networks do not show any maximum on their stretch ratio dependence, contrary to the predictions of molecular theories. The stretch ratio dependences of relative reduced stresses do not sensitively reflect differences in the chemical nature of the chain backbone (hydrocarbon vs. siloxane) and in the crosslinking method (end-linking vs. random crosslinking).

Concurrence of Rank-two Multipartite Quantum States (2-계수 양자상태의 양자얽힘 분석)

  • Bae, Joonwoo
    • Korean Journal of Optics and Photonics
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    • v.29 no.2
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    • pp.64-69
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    • 2018
  • In this work, we derive a general lower bound to concurrence of an arbitrary mixture of two pure states, that is, rank-two multipartite quantum states. We show that the lower bound can tightly detect entanglement of rank-two states, and also can be implemented experimentally with present-day technologies, i.e. single-copy level measurement and classical post-processing.

RNA FOLDINGS AND STUCK KNOTS

  • Jose Ceniceros;Mohamed Elhamdadi;Josef Komissar;Hitakshi Lahrani
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.223-245
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    • 2024
  • We study RNA foldings and investigate their topology using a combination of knot theory and embedded rigid vertex graphs. Knot theory has been helpful in modeling biomolecules, but classical knots emphasize a biomolecule's entanglement while ignoring their intrachain interactions. We remedy this by using stuck knots and links, which provide a way to emphasize both their entanglement and intrachain interactions. We first give a generating set of the oriented stuck Reidemeister moves for oriented stuck links. We then introduce an algebraic structure to axiomatize the oriented stuck Reidemeister moves. Using this algebraic structure, we define a coloring counting invariant of stuck links and provide explicit computations of the invariant. Lastly, we compute the counting invariant for arc diagrams of RNA foldings through the use of stuck link diagrams.

How Can We Erase States Inside a Black Hole?

  • Hwang, Junha;Park, Hyosub;Yeom, Dong-han;Zoe, Heeseung
    • Journal of the Korean Physical Society
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    • v.73 no.10
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    • pp.1420-1430
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    • 2018
  • We investigate an entangled system, which is analogous to a composite system of a black hole and Hawking radiation. If Hawking radiation is well approximated by an outgoing particle generated from pair creation around the black hole, such a pair creation increases the total number of states. There should be a unitary mechanism to reduce the number of states inside the horizon for black hole evaporation. Because the infalling antiparticle has negative energy, as long as the infalling antiparticle finds its partner such that the two particles form a separable state, one can trace out such a zero energy system by maintaining unitarity. In this paper, based on some toy model calculations, we show that such a unitary tracing-out process is only possible before the Page time while it is impossible after the Page time. Hence, after the Page time, if we assume that the process is unitary and the Hawking pair forms a separable state, the internal number of states will monotonically increase, which is supported by the Almheiri-Marolf-Polchinski-Sully (AMPS) argument. In addition, the Hawking particles cannot generate randomness of the entire system; hence, the entanglement entropy cannot reach its maximum. Based on these results, we modify the correct form of the Page curve for the remnant picture. The most important conclusion is this: if we assume unitarity, semi-classical quantum field theory, and general relativity, then the black hole should violate the Bekenstein-Hawking entropy bound around the Page time at the latest; hence, the infinite production arguments for remnants might be applied for semi-classical black holes, which seems very problematic.

Dynamic Mechanical Behavior of Ultra-High Molecular Weight Polyethylene Irradiated with Gamma Rays

  • Lee, Choon-Soo;Jho, Jae-Young;Park, Kuiwon;Hwang, Tae-Won
    • Macromolecular Research
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    • v.12 no.1
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    • pp.141-143
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    • 2004
  • We have investigated the dynamic mechanical behavior of ultra-high molecular weight polyethylene (UHMWPE) irradiated with varying doses of gamma rays. A relaxation peak in the loss factor curve, which has not been reported previously in the literature, is observed at a temperature above the crystal melting temperature. The peak is unique to UHMWPE and appears to be related to the high degree of entanglement. Because the temperature and intensity of the peak are reduced by irradiation-induced chain scission and crosslinking, respectively, we believe that the peak is associated with disentanglement relaxation. The behavior of the storage modulus in the melt state agrees with the classical theory of rubber elasticity.

A Study on the Anti-Doping Communication from Niklas Luhmann's Systems Theory, its' Limits and Tasks (니클라스 루만(Niklas Luhmann)의 체계이론적 관점에서 본 반-도핑 커뮤니케이션의 한계와 과제)

  • Song, Hyeong-Seok
    • 한국체육학회지인문사회과학편
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    • v.55 no.2
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    • pp.11-22
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    • 2016
  • Researcher has reviewed the diagnosis and strategies under the perspective of the Luhmann's system theory, and has concluded the following. The existing anti-doping communication has adopted a personalization strategy, in which the causes and responsibilities of doping is attributed to persons. Therefore, the problem-solving measures are all most the individual-centered such as detection, punishment, education to enlighten. Such a strategy is not only to simplify the doping phenomenon, which is a result of the complex entanglement of the interests of the sport system and its surroundings functional systems, to a result of the individual decision-making according to free will, but also to contribute to hiding of the internal and structural problems of systems through the self-reflection blocking of sport system and its surrounding systems, and to inactivate the anti-doping efforts by imposing demand which player or trainer can not easy accept. The effective strategy for combating doping should be conceptualized and executed in all levels of problems.

The Incarnation of Jesus and Jeungsan's Descending to Earth as a Human Being: A Study of Religious Significance (예수의 성육신과 증산의 인신강세 - 종교학적 의의에 대한 고찰 -)

  • Kim, Jong-man
    • Journal of the Daesoon Academy of Sciences
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    • v.35
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    • pp.181-216
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    • 2020
  • The incarnation of Jesus and Jeungsan's descending to earth as a human being are important theological theories in their respective religions, Christianity and Daesoon Jinrihoe. Both theories are the doctrinal devices necessary for the religious description of each religion. However, this kind of study is likely to result in a theological study that generates religious apologia or explanations. Therefore, it is impossible and meaningless to define the theory of another religion as meta-discourse in terms of one's own religious viewpoint. From a traditional theological point of view, the incarnation is an exceptionalist case wherein God descended as a human being named Jesus to save humanity from original sin. In the case of Jeungsan's descending to earth as a human being, its religious features appear in various forms, so the attempt to unify these two is not an objective method of religious studies. However, this paper aims to find the religious significance of Jesus' incarnation and Jeungsan's descending to earth as a human being by understanding them from a third-person terminology or third-person religious viewpoint rather than from a specific theological position. To this end, this paper will use Kim Jong-seo's position that the concept of Jeungsan's descending to earth as a human being was borrowed from the concept of the incarnation of Jesus as the premise of the research generated in this paper. Therefore, this paper avoids the quest for "Total Christ" or "Total Jeungsan" that integrates and views the divine and human elements of Jesus and Jeungsan. This is because such a research method becomes a theological study. Instead, it excludes transcendental elements or metaphysical aspects that discuss the divine pre-existences of Jesus and Jeungsan and clarifies the significance of the incarnation and Jeungsan's descending to earth as a human being at the physical level in terms which are objective and verifiable. According to this research methodology, this paper develops a discussion after presupposing the hypothetical names of "incarnationist religion" and "divine descent in human avatar religion." However, the two presuppositions mentioned above contain elements of criticism that they are materialistic interpretations that completely eliminate connotations of divinity and religious significance. Nevertheless, it can be said that the two presuppositions have academic significance due to the way in which they avoid the current entanglement of transcendence and instead aim for modernistic relevance.