Unification Condition Research Articles

Explaining PTA results by metastable cosmic strings from SO(10) GUT

In a recent paper ( Phys. Rev. D 108 (2023) 095053), we have demonstrated that the 2023 PTA results, which hint at a stochastic gravitational wave (GW) background at nanohertz frequencies, point towards a promising model-building route for realizing SO(10) Grand Unification with embedded inflation. The proposed supersymmetric scenario solves the doublet-triplet splitting without fine-tuning, accounts for charged fermion and neutrino masses, avoids conflicts with current proton decay bounds, and includes only representations no larger than the adjoint. It features multi-step breaking of SO(10) to the Standard Model gauge symmetry, with inflation embedded such that metastable cosmic strings are produced at the end of inflation. This cosmic string network generates a stochastic GW background that can explain the PTA results. In this paper, we provide a detailed analysis of the singled out GUT model class, focusing on how the gauge coupling unification condition affects the scales of multi-step SO(10) breaking and the preferred GW spectra. The lowest breaking scale, linked to inflation, the generation of right-handed neutrino masses for the seesaw mechanism, and metastable cosmic string production, coincides with the range suggested by the PTA results.

Религиозный фактор в деструктивных социальных процессах (на примере исламизма)

Spiritual and cultural characteristics play a significant role in modern society. The religious factor is one of the key elements that ensure spiritual security, strengthen friendly relations between various ethnic and religious groups, and shape their self-determination. Religion is one of the driving forces of the development of civil society and even determines the degree of its intensity. Due to the increasing influence of religion on political processes, its influence is becoming extremely important for domestic and foreign policy activities, therefore, the government of any state should take into account religious specifics. The religious factor has a powerful consolidating condition in countering the development of destructive processes. At the same time, in order to satisfy personal ambitions and achieve political goals, despite the contradiction of the basic religious principles and doctrines, representatives of destructive religious trends actively use psychological methods of influence, using the faith and beliefs of their followers. The implementation of the proposed measures to ensure spiritual security in various spheres of civil society at all levels of government makes it possible to counteract destructive influences using religious beliefs. The aim of the study is to formulate the main outlines of a balanced policy in the ethno-confessional sphere and based on ideological principles that can provide conditions for agreement and unification of relations between political actors. It is precisely such ideological concepts that can act as a weighty opponent to the destructive process. In this study, methods based on rationalism, dialectics, comparative analysis, historiography were used, structural-functional and civilizational approaches were applied. The results of the research can be used in the development of conceptual documents in the field of security.

USE OF CERTAIN TERMS IN THE SPHERE OF ENVIRONMENTAL PROTECTION

The publication is dedicated to the coverage of legislative and theoretical approaches to the use of the interpretation of certain terms and concepts in the field of environmental protection, based on which suggestions are made regarding their optimal use in scientific circulation and relevant regulatory and legal acts. It is emphasized that the stability of informational and legal provision, in particular in the environmental sphere, is possible under the condition of unification of legislative terms, clear regulatory consolidation of their content with the aim of uniform understanding and application in practical activities. It is possible to secure interests and implement strategic priorities in the field of environmental protection through the creation of effective legal regulation, which includes various legal means, in particular regulations. The important role of definitions in legal regulation, which contain definitions of concepts as integral elements of the legal basis for ensuring the environmental policy of the state, is pointed out. It is noted that the legal definitions of the concepts have a universally binding nature and contribute to the formation of a single legal space. An attempt was made to evaluate the conceptual and categorical apparatus in the analyzed field from the point of view of the universality of the relevant definitions, the completeness of their textual expression, as well as state policy. It is noted that the relevant legislation does not contain a legislative definition of key concepts in the field of environmental protection. It was concluded that the identification of the definitions “ecology” and “surrounding environment” is erroneous, because “ecology” is the part of it that refers to the natural component of the environment. In this regard, as well as in view of the need to bring national legislation to international standards in the researched area, it is more appropriate to use the term “surrounding environment”, which is synonymous with the concept of “environment”, which would cover not only the natural component, but also the environment the existence of humanity in general.

Can virtue be unified? An Aristotelian justification on “unity of virtue”

This article explores two contrasting theories of virtue ethics, namely the unity theory of virtue and the disunity theory of virtue. The unity thesis asserts that virtues are unified in some sense, or that possession of one virtue is inextricably related to the possession of all others. Meanwhile, the disunity thesis argues that virtues are disunited, or that there is a lack of unity among the virtues. But still, there are many empirical observations that seem to contradict these two theses at every turn. Thus, this article offers a moral-psychological analysis of the plausibility of the unity of virtues, and argues that the unity among the virtues is possible only if we seriously consider the integration of moral and intellectual virtues as a condition of unification. In conclusion, it suggests a way of unification which is in accord with Aristotle’s moral psychological interpretation of the division of the soul and practical wisdom, or phronesis, which is often overlooked in virtue epistemology.

A computable quantification of multi-mode Gaussian coherence and complete monogamy relation

We propose a quantification CνGn of n-mode Gaussian coherence. The value of CνGn only depends on the covariance matrices and displacement vectors of continuous-variable states without any optimization procedures, and thus is easily calculated. For n=1, CνG1 is a proper Gaussian coherence measure of single-mode CV system. For n≥2, CνGn is invariant under any permutation of submodes, nonincreasing under any n-mode local incoherent Gaussian channels, vanishes at incoherent Gaussian states, and, satisfies the unification condition and the hierarchy condition that a multi-partite quantum correlation measure should obey. Thus CνGn is a multi-partite Gaussian correlation measure, which reveals, though the quantum coherence lives in single-partite systems, that the multi-mode coherence for continuous-variable systems can be regarded as a multipartite Gaussian correlation between modes, and such multi-partite Gaussian correlation is also a quantum resource. Moreover, we show that CνGn is completely monogamous as a multipartite Gaussian correlation measure. This means that the n-mode Gaussian coherence subjects to the principles of resource allocation. In addition, CνGn is an upper bound of the geometric-based single-mode Gaussian coherence measure CBu by the Bures distance at pure Gaussian states of mode ≤2 and can be used to detect coherence in any n-mode Gaussian states more efficiently.

ГОРНО-МЕТАЛЛУРГИЧЕСКИЕ КЛАСТЕРЫ: УСЛОВИЯ И ПЕРСПЕКТИВЫ ФОРМИРОВАНИЯ НА ДАЛЬНЕМ ВОСТОКЕ РОССИИ

The practice of forming industrial nodes, complexes, and clusters has not yet developed in the Russian Far East. At the same time, managers of a number of enterprises are beginning to discuss the issue of creating horizontal groupings of enterprises. This process specifics require scientific substantiation of the unification conditions and prospects.

Formation of the Social Capital of Urban Communities in the Context of Digitalization of the Urban Environment

Introduction. Currently, the development and convergence of virtual digital practices actualizes the need for theoretical and methodological understanding of the transformations of social capital in the urban environment. The purpose of the article is to explore the process of changing the mechanisms for the formation of social capital, based on expert assessments and the results of an analysis of public opinion, as well as conjunctive processes that are being transformed under the influence of the digitalization of urban spaces. Methodology and Methods. The methodological basis of the study consists of the provisions of the social capital theory, the theory of social conjunction; the concept of digitalization of social reality. The empirical base of the scientific article includes the results of a complex of sociological studies conducted by a team of authors of Belgorod State University in 2020–2022. The research data has made it possible to determine the dispositions of various population groups in relation to the social consolidation of urban communities in the context of the digitalization of the urbanized environment, as well as to identify the specifics of values, attitudes and behavioral motives in the implementation of consolidation practices. Results. On the basis of empirical data, it has been possible to reveal that the process of forming and building up the social capital of urban communities has serious limitations that do not disappear in the course of digitalization of the urban environment. On the one hand, this process creates opportunities for consolidation based on social digital platforms; on the other hand, network social capital turns out to be very fragile, since it does not involve “live communication” and does not connect the participants of the interaction with reliable grounds. Discussion and Conclusion. The analysis has made it possible to note that, while creating new conditions for communication and unification of citizens, digitalization also leads to the emergence of new barriers, the most significant of which is the lack of “real life communication”, which prevents the participants of interaction from being bound by reliable grounds. Prospects for further research on the topic under study are related to the development of such criteria that will allow us to assess the sociodynamics of the process of the social capital forming in urban communities, as well as the process of consolidation.

Unification conditions of human civilization patterns: based on multi-agent modeling of early Chinese history (770 BC to 476 BC)

Unification conditions of human civilization patterns: based on multi-agent modeling of early Chinese history (770 BC to 476 BC)

HISTORICAL AND CULTURAL ASPECTS IN THE DESIGN OF THE INDUSTRIAL AND POST-INDUSTRIAL ERA

The purpose of the article is to analyse the historical and cultural aspects of the ideological and conceptual essence of the foundations of the art project design. The research methodology includes a comprehensive approach that combines historical and cultural analysis methods to identify the process of formation of design as a cultural phenomenon. The scientific novelty of the research is determined by the fact that design is considered through cultural and historical issues, and the authors have identified the main features of industrial and post-industrial era design and characterised the designing tools. Conclusions. It is established that arising from the pragmatic needs of the development of the market of mass consumer goods, design becomes a general cultural factor and changes the world of things and the very way of socio-cultural existence of a person. Design is transformed into a henomenon that combines mass consumption, functional perfection, economic feasibility, convenience, utility, aesthetic expressiveness of things and the human environment. The article analyses what tools and tools are used to create images in designing. The role of design in visual culture is clarified. For a holistic understanding of the design features, the authors have analysed the transformations in the society of the 20th and early 21st centuries. With the help of design, new values, norms and meanings are formed in the cultural space, issues of individual freedom and individuality are raised, and spatial orientations, actions and forms of existence of each person and society are expanded. The emergence and development of new trends in design, and the high importance of design thinking in modern culture require scientific theoretical understanding, which determines the relevance of research. The authors provide a direction of scientific, educational and cultural vectors of Ukraine to pan-European standards and solutions to problems of improving the quality and safety of goods and the human environment, the implementation of innovative design technology, the preservation of national cultural traditions in the conditions of unification of production, taking into account environmental requirements in the designing of the objects, as the main factors of design development in Ukraine.

Cooperative relations in the agricultural sector of the Republic of Kazakhstan: directions of development and organizational support measures

The aim is to consider agricultural cooperation development in the country, the potential for effective promotion of this process, trends in the spread of marketing services, preparation of financial and accounting reports, public and local administration. Methods – quantitative and effective indicators are obtained on the basis of observation and collection of facts, comparative analysis and synthesis, and a systematic approach. Results – directions and main tasks of expanding cooperative relations in agricultural sector of the republic, the role of cooperation in providing conditions for unification of agricultural producers who have set themselves the goal of improving their economic and social situation; distribution of cooperative entrepreneurship; implementation of the social function through creation of jobs, guaranteed level of income; reducing the dependence of the domestic market on external factors; protecting the interests of economic entities; providing the population with the opportunity to purchase high-quality and relatively cheap goods. Conclusions – the author notes that it is necessary to implement new effective programs on creation of agricultural cooperatives at the state and local levels; using their capabilities in establishing an effective supply chain to the end consumer. Cooperation acts as one of the stabilizers of market economy, maintaining social balance, and serves as the basis for organizational and structural restructuring of agricultural production. In market economy, the activities of cooperating farms largely depend on their relationships with other branches of agriculture, which provide them with material and technical means and services, provide processing of their products, and sell them. As the experience of developed countries shows, the potential of agricultural cooperation contributes to the sustainable and balanced development of agricultural sector and ensuring food security.

The Image of the Other in the Cultural Practices of the Modernity

The cultural diversity and the culture of plural coexistence becomes the global problem of existence. Mutual penetration and leveling of the boundary having divided the world into Other and Own is relevant, as it challenges identity in the conditions of openness and unification. Own culture is able to reveal its potential and present its essential features and original character only in the context of a different cultural dimension. The complex intertwinings, connections, influences of the cultures of different peoples and their worldviews in a single world cultural space are illuminated by the dialogue. Dialogue determines the nourishing interaction, which allows to get richer by knowing the unique, valuable experience of the Other, to expand the horizons of one’s own existence. The atmosphere created by the dialogue is marked by humanism, implies the dignity and the right of each participant to argue their own point of view, therefore, to use their own intellectual abilities, knowledge and values.

Computable multipartite multimode Gaussian quantum correlation measure and the monogamy relations for continuous-variable systems

In this paper, definitions of the unification condition, the hierarchy condition, and three kinds of monogamy relations for multipartite quantum correlation measures are given and discussed. A computable multipartite multimode Gaussian quantum correlation measure ${\mathcal{M}}^{(k)}$ is proposed for any $k$-partite multimode continuous-variable systems with $k\ensuremath{\ge}2$. The value of ${\mathcal{M}}^{(k)}$ only depends on the covariance matrices of continuous-variable states, is invariant under any permutation of subsystems, has no ancilla problem, is nonincreasing under $k$-partite local Gaussian channels (particularly, invariant under $k$-partite locally Gaussian unitary operations), and vanishes on $k$-partite product states. For a $k$-partite Gaussian state $\ensuremath{\rho}, {\mathcal{M}}^{(k)}(\ensuremath{\rho})=0$ if and only if $\ensuremath{\rho}$ is a $k$-partite product state. Moreover, ${\mathcal{M}}^{(k)}$ satisfies the unification condition and the hierarchy condition that a multipartite quantum correlation measure should obey. We also show that ${\mathcal{M}}^{(k)}$ is not strongly monogamous but completely monogamous and tightly monogamous.

Road map through the desert with scalars

In the context of the gauge coupling unification, we present a comprehensive analysis of the extensions of the Standard Model with vector-like fermions and scalars. We find 145 models that satisfy the unification condition, which are distinguishable by the number of new particles in the spectrum and by their transformation properties under the gauge symmetry group of the Standard Model. For all models we derive lower bounds on the exotic fermion and scalar masses, stemming from the measurement of the strong gauge coupling scale dependence, from the heavy stable charged particle searches, and from the electroweak precision tests. We also discuss the potential of testing the unification scenarios at the future 100 TeV collider and in the proton decay experiments. We show that many models can already be excluded based on the current data, while many others will be entirely probed in the coming years.

СТРАТЕГІЧНІ АЛЬЯНСИ ЯК ПЕРСПЕКТИВНА ФОРМА КОРПОРАТИВНИХ ІНТЕГРАЦІЙНИХ ОБ’ЄДНАНЬ В МОЛОКОПЕРЕРОБНІЙ ГАЛУЗІ

The article considers the preconditions for the formation of strategic alliances as a promising form of corporate integration associations in the dairy industry of Khmelnytsky region. The strategic alliance, as one of the modern forms of inter-firm integration, has been found to be more flexible than clusters or joint ventures and involves a variety of agreements between companies that work together over a period of time to achieve tactical or strategic goals. The types of strategic alliances, their typology are highlighted and it is proved that they are the most attractive type of strategic integration associations of corporate structures. The main types of strategic alliances are integration alliances, pseudo-concentration alliances and complementary alliances. That is, a strategic alliance is a form of inter-firm integration, one of the fastest and most accessible ways to implement a global strategy, a “soft”organizational form of integration of dairy companies, which allows joint activities to maintain legal and economic independence; preparatory, organizational and experimental platform, within which the rational generation of conditions for further unification of partner companies. The main options for the development of strategic alliances in the dairy industry of Khmelnytsky region are proposed. Evaluation criteria and methods of building a matrix for selecting a potential partner for integration and formation of strategic alliances are substantiated. The prospects of dairy enterprises after joining the strategic alliance of dairy producers are as follows: uncertainty in demand for intermediate products is reduced and incentives are created to reduce the cost of raw milk; processing of raw materials is provided; enterprises producing raw milk are getting rid of uncertainty in the markets; there is an opportunity to produce new types of dairy products and expanding markets; the competitiveness of the local dairy industrial complex among other market participants is increasing; growth of economic potential of the enterprises forming a local dairy industrial complex is provided; the effect of economies of scale and the possibility of joint use of production capacity is observed; reduce uncertainty, as well as increase the stability of development, because in long-term relationships with a partner, a former competitor in the dairy market is a combination of experience and resources, the ability to transfer technology, knowledge and experience, joint research and staff training; gaining additional access to the market, where competitors are already operating and there is a stable demand for products of certain brands.

Finitary unification in locally tabular modal logics characterized

We provide necessary and sufficient conditions for finitary unification in locally tabular modal logics, solely in terms of Kripke models. We apply the conditions to establish the unification types of logics determined by simple finite frames. In particular, we show that unification is finitary (or unitary) in the logic determined by the fork (frame F4, see Fig. 6), the rhombus (frame F5), in GL.3m, GrzBd2, S4Bd2 and other logics; whereas it is nullary in the logic of F6, and of the pentagon FN5. In Appendix analogous results are given for superintuitionistic logics.

The Role and Place of Archaic Conjunctions in Modern Journalism

The article analyses the use of Russian archaic subordinate conjunctions «кабы», «коли», «дабы», «бо», «ибо» in modern journalistic texts concerning the relevance of their use. The research is carried out as a part of the study devoted to the expression of conditionality relationships through complex sentences in the bookish style, a journalistic one, in particular. The sources used in the study consist of printed and online books, as well as periodicals and magazines publishing ana-lytical articles, essays, reports, and interviews on issues of public interest. The author assumes that the choice of atypical linguistic means should be considered as an indicator of the language flexibility, its settings for the most accurate expression of meaning and a specific communication situation. By the analysis of concrete examples, it is shown that the use of archaic conjunctions correlates with the basic functions of a journalistic style (informational, educa-tional, evaluative, incentive, influencing ones), thereby its use is stylistically jus-tified. Journalists resort to these means of conjunction to convey someone’s speech with the aim of marking a high style, adding a historical, dialectic con-notation, a playful or ironic tone.It is noted that unproductive archaic conjunctions are primarily used in their main etymological meaning, while the field of their meanings in dialects and colloquial speech is expanding. In this way, an organic combination of the elements of bookishness and colloquiality is historically inherent in the Russian literary language, which is most clearly manifested in journalism.Attention is drawn to the fact that the study of archaic vocabulary and the appropriateness of its use is of interest with regard to developing and pre-serving the richness and variability of the language, especially in modern condi-tions of standardization, simplification, and unification of languages in general and the Russian language in particular.

ДЕРЖАВНЕ РЕГУЛЮВАННЯ БЕЗПЕКОВОГО ВИКОРИСТАННЯ ЯДЕРНОЇ ЕНЕРГІЇ З ПОЗИЦІЙ АКСІОЛОГІЧНОГО ПІДХОДУ

Постановка проблеми. Пошук конструктивних дій процесу становлення й розвитку демократичних засад політичного, економічного, соціального та культурного життя в Україні, визначає першість у забезпеченні владою обґрунтованого та ефективного публічного управління. Особливого значення набувають світоглядні та правові засади, відповідно до яких здійснюється публічно-управлінська діяльність у сфері використання ядерної енергії. Тож важливим нормативно-регулюючим чинником постає вимога щодо переваги аксіологічного підходу у специфіці державного регулювання безпекового використання ядерної енергії, що має співвідноситися з гуманістичними орієнтирами суспільства, забезпечуючи його ціннісну дію. Аналіз останніх публікацій за проблематикою та визначення невирішених раніше частин загальної проблеми. Ціннісні аспекти процесу публічного управління активно досліджуються сучасними вітчизняними вченими, зокрема: ціннісний аспект організаційної культури публічного управління в умовах становлення інформаційного суспільства (Гайдученко, 2016); значущість системи суспільних цінностей у процесі державного регулювання стратегічного розвитку регіону (Лукашов, 2017); ціннісно-культурний аспект щодо особливостей поняття «безпека» у європейському дискурсі (Марутян, 2017); ціннісні орієнтири у контексті забезпечення безпеки і стабільності суспільства в сучасних умовах (Орел, 2017); світоглядні та еколого-правові засади взаємодії людини і природи (Балюк, 2017); аксіологічний підхід щодо сучасних тенденцій розвитку організаційної системи публічного управління (Гук, 2018); роль цінностей у здобутті авторитету керівника як «третій силі» сучасного українського суспільства (Новаченко, Афонін, 2019). Значний внесок у розробку окремих правових аспектів проблеми, що досліджується, зробили вчені-юристи, зокрема щодо: формування та становлення ядерного права в Україні (Балюк, 2000); правового регулювання господарських зв’язків (відносин) атомних електростанцій України (Єршова, 2000); державного регулювання ядерної та радіаційної безпеки в Україні (Плачкова, 2003); концептуально-правових «реформ» у сфері екології в Україні та сучасні виклики (Балюк, 2016). Проведено аналіз опублікованих наукових досліджень, що пов’язані з державним регулюванням безпекового використання ядерної енергії, а саме: пріоритетних напрямів удосконалення державного управління процесами поводження з радіоактивними відходами у Дніпропетровському регіоні (Кринична, 2013); ролі громадськості щодо розвитку ядерної енергетики в Україні (Барбашов, 2010); сучасного стану та перспектив інноваційного розвитку атомної енергетики України (Копішинська, Широкова, 2019); формування культури безпеки у студентів атомних спеціальностей у закладах вищої освіти України (Барбашов, 2019); урахування проєктних загроз у розбудові державної системи захисту критичної інфраструктури (Бобро, 2017); удосконалення системи радіаційно-гігієнічного моніторингу об’єктів довкілля в зонах спостереження українських атомних електростанцій як основи радіаційної безпеки (Хоменко, Закладна, 2019 ); соціальних аспектів енергетичної політики та енергетичної безпеки України (Земляний, 2013); ефективності застосування спеціальних методів державного управління захистом населення в радіаційно небезпечних ситуаціях (Кринична, Чекмарьова, 2015). Репрезентований аналіз досліджень вітчизняних науковців щодо ціннісних аспектів публічного управління дає підстави стверджувати про їх різноманітність, однак державне регулювання безпекового використання ядерної енергії в контексті аксіологічного підходу розробляється недостатньо. Мета дослідження – аналіз теоретичних засад державного регулювання безпекового використання ядерної енергії з позицій аксіологічного підходу як системи соціальних цінностей гуманістичної спрямованості. Виклад основного матеріалу. У статті розглядається і аналізується аксіологічний контекст системи державного регулювання безпекового використання ядерної енергії. Розкривається актуальність та необхідність застосування аксіологічного підходу до регулюючого процесу безпекового використання ядерної енергії в Україні. Державному регулюванню притаманні функції, які є складовою механізму державної влади та процесом її реалізації. Зокрема, державне регулювання безпекового використання ядерної енергії спрямовано на захист життя людей, їх здоров’я, майна, охорону довкілля, а також на встановлення способів організації чи ведення діяльності, правил ліцензування, місця здійснення діяльності та надання послуг тощо. Акцентовано на тому, що внаслідок економічної та техногенної діяльності суспільства відбувається дисгармонія з природою, що призводить до орієнтації на прибуткову господарську діяльність та порушує природний перебіг суспільного розвитку. Тож для усунення протиріч у відносинах між людською діяльністю і природою особливе місце займають цінності, які мають спрямовувати соціальну поведінку людей. Відповідно до аксіологічного підходу політика державного регулювання у сфері безпекового використання ядерної енергії спрямовується на формування стратегічного курсу держави шляхом правового регулювання, посилення можливостей і забезпечення засобів її ефективного використання, зміцнення безпеки, сприяння захисту людини та навколишнього середовища, входження України у світовий безпековий простір. Висновки і перспективи подальших розвідок. Аксіологічний підхід у державному регулюванні безпеки використання ядерної енергії дав змогу розглянути процеси державного регулювання як раціональну діяльність, спрямовану на розбудову ціннісної парадигми суспільної свідомості. Для отримання результату нами було окреслено тенденції світоглядних засад гуманістичної спрямованості суспільства та визначення аксіологічного (соціально-ціннісного) виміру державного регулювання безпекового використання ядерної енергії в Україні. Перспективами подальшого наукового пошуку щодо аксіологічного підґрунтя державного регулювання безпекового використання ядерної енергії є розроблення демократичних механізмів розвитку системи професійних цінностей в публічному управлінні.

Multipartite entanglement measure and complete monogamy relation

Although many different entanglement measures have been proposed so far, much less is known in the multipartite case, which leads to the previous monogamy relations in literatures are not complete. We establish here a strict framework for defining multipartite entanglement measure (MEM): apart from the postulates of bipartite measure, a genuine MEM should additionally satisfy the unification condition and the hierarchy condition. We then come up with a complete monogamy formula for the unified MEM and a tightly complete monogamy relation for the genuine MEM. Consequently, we propose MEMs which are multipartite extensions of entanglement of formation (EoF), concurrence, tangle, Tsallis $q$-entropy of entanglement, R\'{e}nyi $\alpha$-entropy of entanglement, the convex-roof extension of negativity and negativity, respectively. We show that (i) the extensions of EoF, concurrence, tangle, and Tsallis $q$-entropy of entanglement are genuine MEMs, (ii) multipartite extensions of R\'{e}nyi $\alpha$-entropy of entanglement, negativity and the convex-roof extension of negativity are unified MEMs but not genuine MEMs, and (iii) all these multipartite extensions are completely monogamous and the ones which are defined by the convex-roof structure (except for the R\'{e}nyi $\alpha$-entropy of entanglement and the convex-roof extension of negativity) are not only completely monogamous but also tightly completely monogamous. In addition, we find a class of tripartite states that one part can maximally entangled with other two parts simultaneously according to the definition of maximally entangled mixed state (MEMS) in [Quantum Inf. Comput. 12, 0063 (2012)]. Consequently, we improve the definition of maximally entangled state (MES) and prove that there is no MEMS and that the only MES is the pure MES.

FEASIBILITY EXPLORATION OF “MULTI-CONFORMITY” UNDER THE BACKGROUND OF BIG DATA

Abstract. “Multi-conformity” requires the unification of surveying and mapping coordinate system. The Ministry of Natural Resources calls for the unified use of CGCS2000 coordinates in natural resources systems. Therefore, “multi-conformity” can only be carried out in the CGCS2000 coordinate system. In Bijie Experimental Area, the projection deformation of CGCS2000 coordinate system is far greater than the requirement of 2.5cm/km stipulated in the urban surveying, so it can not be directly used in urban construction, and its own independent coordinate system must be established. In order to resolve this contradiction and meet the requirements of “multi-conformity”, Ministry of Natural Resources and urban construction, to explore the transformation of geographic information data under CGCS2000 coordinate system into urban independent coordinate system data in time by using the cloud computing function of big data under the condition of unification of basic data to meet the needs of engineering construction and to serve the economic construction of Bijie Experimental Area.

Road map through the desert: unification with vector-like fermions

In light of null results from New Physics searches at the LHC, we look at unification of the gauge couplings as a model-building principle. As a first step, we consider extensions of the Standard Model with vector-like fermions. We present a comprehensive list of spectra that feature fermions in two distinct SU(3)C ×SU(2)L×U(1)Y representations, in which precise gauge coupling unification is achieved. We derive upper and lower limits on vector-like masses from proton decay measurements, running of the strong gauge coupling, heavy stable charged particle searches, and electroweak precision tests. We demonstrate that due to a particular hierarchy among the mass parameters required by the unification condition, complementarity of various experimental strategies allows us to probe many of the successful scenarios up to at least 10 TeV.