Quantization of the Riemann Zeta-Function and Cosmology

Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories. This approach is motivated by the theory of p-adic strings and by recent works on stringy cosmological models. We show that the Lagrangian for the zeta-function field is equivalent to the sum of the Klein-Gordon Lagrangians with masses defined by the zeros of the Riemann zeta-function. Quantization of the mathematics of Fermat-Wiles and the Langlands program is indicated. The Beilinson conjectures on the values of L-functions of motives are interpreted as dealing with the cosmological constant problem. Possible cosmological applications of the zeta-function field theory are discussed.Comment: 14 pages, corrected typos, references and comments adde

RISK OF RENEWABLE ENERGY SOURCES DEVELOPMENT IN THE OIL AND GAS INDUSTRY IN THE CONTEXT OF COVID-19

The global climate problem of climate warming has led to the active development of renewable energy almost all over the world. Many European countries and international corporations are already striving for carbon neutrality.This article analyzes the current trends in the development of the renewable energy sources industry in the world and in Russia, assesses the applicability of renewable energy sources in the oil and gas industry and the impact of the coronavirus crisis on the perspectives for renewable energy. The analysis of the indicators of the volumes of commissioning of generating capacities for 2020 is given, the obstacles encountered in the development of the industry due to the unstable global situation are considered.The article also discusses investment in renewable energy by oil and gas companies and their transformation under the influence of the renewable energy sector, as well as the participation of Russian companies in this transformation and their long-term prospects in relation to renewable energy

DEVELOPING MICROGENERATION BASED ON RES AS A DRIVER OF DECARBONISATION AND ECONOMIC GROWTH IN RUSSIA

Having analysed the domestic and foreign experience of developing the market of microgeneration based on renewable energy sources (RES) the authors conclude that a smart industrial policy can ensure an expedited transition to zero-carbon economy and stimulate economic growth. Research background – Russia’s commitment to achieve carbon neutrality by 2060. Research purpose – assessing the prospects and barriers in the development of microgeneration based on RES. Methods – generalising, comparing, analysing empirical evidence of microgeneration market development in Russia and abroad, calculating the levelized cost of electricity (LCOE) of a solar plant and comparing it with current low voltage tariffs for small and medium-sized businesses. Results and novelty – the authors have determined the most effective industrial policy tools for developing the market of microgeneration based on RES

РИСКИ РАЗВИТИЯ ВИЭ В НЕФТЕГАЗОВОЙ ОТРАСЛИ В УСЛОВИЯХ COVID-19

The global climate problem of climate warming has led to the active development of renewable energy almost all over the world. Many European countries and international corporations are already striving for carbon neutrality.This article analyzes the current trends in the development of the renewable energy sources industry in the world and in Russia, assesses the applicability of renewable energy sources in the oil and gas industry and the impact of the coronavirus crisis on the perspectives for renewable energy. The analysis of the indicators of the volumes of commissioning of generating capacities for 2020 is given, the obstacles encountered in the development of the industry due to the unstable global situation are considered.The article also discusses investment in renewable energy by oil and gas companies and their transformation under the influence of the renewable energy sector, as well as the participation of Russian companies in this transformation and their long-term prospects in relation to renewable energy.Глобальная проблема изменения климата привела к активному развитию возобновляемой энергетики практически по всему миру. Множество европейских стран и международных корпораций уже сегодня стремятся к углеродной нейтральности.В настоящей статье проанализированы сложившиеся тенденции развития отрасли возобновляемых источников энергии в мире и в России, оценены применимость ВИЭ в нефтегазовой отрасли и влияние коронакризиса на перспективы возобновляемой энергетики. Приведен анализ показателей объемов ввода генерирующих мощностей за 2020 год, описаны возникшие препятствия в развитии отрасли в связи с нестабильным характером мировой ситуации.Также в статье рассмотрены особенности инвестирования в ВИЭ со стороны нефтегазовых компаний и их трансформация под влиянием сектора возобновляемых источников энергии, а также участие российских компаний в этой трансформации

РАЗВИТИЕ МИКРОГЕНЕРАЦИИ НА ОСНОВЕ ВИЭ КАК ФАКТОР ДЕКАРБОНИЗАЦИИ И ЭКОНОМИЧЕСКОГО РОСТА В РОССИИ

Having analysed the domestic and foreign experience of developing the market of microgeneration based on renewable energy sources (RES) the authors conclude that a smart industrial policy can ensure an expedited transition to zero-carbon economy and stimulate economic growth. Research background – Russia’s commitment to achieve carbon neutrality by 2060. Research purpose – assessing the prospects and barriers in the development of microgeneration based on RES. Methods – generalising, comparing, analysing empirical evidence of microgeneration market development in Russia and abroad, calculating the levelized cost of electricity (LCOE) of a solar plant and comparing it with current low voltage tariffs for small and medium-sized businesses. Results and novelty – the authors have determined the most effective industrial policy tools for developing the market of microgeneration based on RES.Базируясь на анализе отечественного и зарубежного опыта развития рынка микрогенерации на основе возобновляемых источников энергии (ВИЭ), авторы приходят к выводу, что за счет реализации продуманной промышленной политики возможно обеспечить ускоренный переход к безуглеродной экономике и стимулировать экономический рост. Предпосылки исследования – обязательства России по достижению углеродной нейтральности к 2060 году. Цель исследования – оценить перспективы и барьеры, сдерживающие развитие возобновляемой микрогенерации на основе ВИЭ.В статье были использованы обобщение, сравнение, анализ эмпирических данных развития рынка микрогенерации в России и за рубежом, сделан расчет стоимости солнечной электростанции и проведено сравнение с существующими тарифами на низком напряжении для малого и среднего бизнеса. Определены наиболее действенные инструменты промышленной политики в области развития рынка микрогенерации на основе ВИЭ

DEVELOPMENT OF MULTIFUNCTIONAL DEVICE FOR MONITORING HUMAN VITAL SIGNS. PHOTOPLETHYSMOGRAPHY

The target of this work is development of inexpensive, simple and available device for monitiring human vital signs, such as popular fitness trackers, but with greater potential

On the derivation of the t-J model: electron spectrum and exchange interactions in narrow energy bands

A derivation of the t-J model of a highly-correlated solid is given starting from the general many-electron Hamiltonian with account of the non-orthogonality of atomic wave functions. Asymmetry of the Hubbard subbands (i.e. of ``electron'' and ``hole''cases) for a nearly half-filled bare band is demonstrated. The non-orthogonality corrections are shown to lead to occurrence of indirect antiferromagnetic exchange interaction even in the limit of the infinite on-site Coulomb repulsion. Consequences of this treatment for the magnetism formation in narrow energy bands are discussed. Peculiarities of the case of ``frustrated'' lattices, which contain triangles of nearest neighbors, are considered.Comment: 4 pages, RevTe

Lifshitz Tails in Constant Magnetic Fields

We consider the 2D Landau Hamiltonian $H$ perturbed by a random alloy-type potential, and investigate the Lifshitz tails, i.e. the asymptotic behavior of the corresponding integrated density of states (IDS) near the edges in the spectrum of $H$. If a given edge coincides with a Landau level, we obtain different asymptotic formulae for power-like, exponential sub-Gaussian, and super-Gaussian decay of the one-site potential. If the edge is away from the Landau levels, we impose a rational-flux assumption on the magnetic field, consider compactly supported one-site potentials, and formulate a theorem which is analogous to a result obtained in the case of a vanishing magnetic field

ENGINEERING OF CONTROL UNIT FOR CHEMICAL RESEARCH

The target of this work is development of inexpensive, simple and available control unit for research in inorganic and organic chemistry, related to chemical solutions heating