Gauge symmetry in string theory

An account is given of the way symmetry is incorporated into string theory by using the Frenkel—Kac—Segal mechanism, taken from the representation theory of affine Kac-Moody algebras. The intrinsically quantum mechanical nature of this mechanism is emphasized, and the present stage of development of string theory is compared with the ‘old quantum theory’. The corresponding method of incorporating gauge symmetry into superstring theories is discussed and arguments that appear to prevent the construction of realistic theories of this type are reviewed in outline.

2020 ◽  
Vol 5 (3) ◽  
pp. 179-184
Author(s):  
Marianna Havryshko ◽  
◽  
Olena Popovych ◽  
Halyna Yaremko ◽  
◽  
...  

At the present stage of development, the entire world industry has faced the problem of rational use of renewable natural resources, in particular the most efficient ways of wastewater treatment and the use of accumulated waste in the production process as a secondary raw material. In particular, the alcohol industry, as one of the components of food, medical, chemical and various industries,leads to the formation of huge amounts of waste, including wastewater. The food industry, like any other industry, has a negative impact on the environment. Water bodies are the most affected by the food industry. Almost the first place in terms of water consumption per unit of production is the production of alcohol. Consumption of large amounts of water leads to the formation of wastewater, which is highly polluted and adversely affects the environment. Due to the high chemical and biological consumption of oxygen, specific color and odor, suspended solids, low pH value, the purification of such waste in the filtration fields and discharge into water bodies is not possible. The purpose of our work is: 1) conducting the analysis of the alcohol industry potential in Ukraine in recent years, and methods of waste disposal as a potential source for the development of bioenergy. 2) environmental aspects of the alcohol industry modernization at present stage of development and implementation of modern wastewater treatment technologies.


2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.


2019 ◽  
Author(s):  
Vitaly Kuyukov

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.


Author(s):  
E. Smirnov

At the present stage, the world economy is experiencing a difficult stage of development, which is determined by many factors, in particular, the dynamics of economic growth, the increase in global inequality, and the mixed influence of digital transformation processes. The article analyzed the main trends and risks of modern world economy development, as well as identified key aspects of multilateral regulation and restoration of economic balance on the international scale.


2020 ◽  
Vol 2 (8) ◽  
pp. 83-87
Author(s):  
B. Kh. ALIYEV ◽  

In the Russian Federation, the problem of budget planning becomes especially relevant when the pace of economic development slows down. The article examines the features of the formation of regional budgets, using the example of the budget of the Republic of Dagestan. The analysis of incomes to the budget is carried out. The role of regional taxes in the formation of budget revenues of the Republic of Dagestan is revealed. According to the results of the study, it can be concluded that the budgetary policy of the regions at the present stage of development of the Russian economies does not contribute to a further increase in the rates of economic growth. The article offers recommendations for improving the regional budgetary policy of the Russian Federation and increasing the responsibility of regional authorities.


Author(s):  
Anthony Duncan ◽  
Michel Janssen

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics was built in the period 1923–1927 (covered in the second volume). After tracing the early contributions by Planck, Einstein, and Bohr to the theories of black‐body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day, the book tackles the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some striking initial successes (explaining the fine structure of hydrogen, X‐ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics. Constructing Quantum Mechanics is based on the best and latest scholarship in the field, to which the authors have made significant contributions themselves. It breaks new ground, especially in its treatment of the work of Sommerfeld and his associates, but also offers new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout the book, the authors provide detailed reconstructions (at the level of an upper‐level undergraduate physics course) of the cental arguments and derivations of the physicists involved. All in all, Constructing Quantum Mechanics promises to take the place of older books as the standard source on the genesis of quantum mechanics.


Author(s):  
E.V. Kolesnikov ◽  

The subject of the study is a retrospective of the legal norms formation. Under these norms the prosecutor will be able to govern the issues of ensuring the legitimate interests of the state, society, business entities and the rights of citizens in resolving disputes in the field of economic activity. Chronological framework of research includes the period from the establishment of prosecutor's office in 1722 up to the collapse of USSR in 1991. The relevant legislation is analyzed. The author examines the scope of prosecutor powers in this sphere at different stages of formation and development of prosecution, and reveals the problems of determining the prosecutor's office place in the system of existing at that time bodies of state power. It is concluded that the prosecution authorities, since their creation in Russia and up to the present stage of development, taking a greater or lesser degree of participation in the resolution of disputes in the sphere of economic activity, played a significant role in the protection of exclusively state interests. The interests of society, business entities and citizens in the sphere of economic activity if there is a dispute were considered only through the prism of such interests. The hierarchy of interests of participants of economic activity in dispute resolution was unbalanced and built without taking into account the interests of all participants of economic relations.


Author(s):  
E. S. Zinovieva ◽  
Y. I. Vojtenko

Abstract: The development of post-industrial society initiates profound economic, technological and cultural change in the way of life of all mankind. The revolutionary breakthroughs in the field of new technologies such as biotechnology and information technology are reflected in all spheres of human activity, directly affecting the human security. The article analyzes the consequences of widespread usage biotechnology and information technology in the foreign policy practice on the basis of the human security theory. The detailed description of the main directions of the use of biometric technology in the foreign policy and consular practices is provided, the challenges and threats to information security associated with biometrics are analyzed, arising from widespread biotechnology are the main challenges and threats to as well as human security threats arising at the present stage of development and application of these technologies. Human security threats associated with the use of biotechnology are placed in the broader context of global trends in scientific and technological development. The recommendations are formulated in the field of foreign policy and international cooperation, which would neutralize new threats to international and personal safety arising at the present stage of development of biotechnology. The authors conclude that in order to ensure ethical regulation of new technologies that address issues of human security, it is necessary to organize multi-stakeholder partnerships at national and international level with the participation of states, representatives of civil society, business and the research community.


2015 ◽  
Vol 45 (5) ◽  
pp. 641-702 ◽  
Author(s):  
Jeremiah James ◽  
Christian Joas

As part of an attempt to establish a new understanding of the earliest applications of quantum mechanics and their importance to the overall development of quantum theory, this paper reexamines the role of research on molecular structure in the transition from the so-called old quantum theory to quantum mechanics and in the two years immediately following this shift (1926–1928). We argue on two bases against the common tendency to marginalize the contribution of these researches. First, because these applications addressed issues of longstanding interest to physicists, which they hoped, if not expected, a complete quantum theory to address, and for which they had already developed methods under the old quantum theory that would remain valid under the new mechanics. Second, because generating these applications was one of, if not the, principal means by which physicists clarified the unity, generality, and physical meaning of quantum mechanics, thereby reworking the theory into its now commonly recognized form, as well as developing an understanding of the kinds of predictions it generated and the ways in which these differed from those of the earlier classical mechanics. More broadly, we hope with this article to provide a new viewpoint on the importance of problem solving to scientific research and theory construction, one that might complement recent work on its role in science pedagogy.


Sign in / Sign up

Export Citation Format

Share Document