Quantum Marxian Political Economics (original) (raw)
Related papers
Quantum Political Economics the Characterization of Productive Forces and Production Relations
viXra, 2017
The mathematical characterization of “the Productive Forces” of a macro economic system is based upon the analogy between political economy and Newtonian mechanics, which is expressed as the product of the growth rate of the profit rate (p) and the surplus value (M), showing several quantum qualities like a photon quanta. The one-dimensional linear harmonic oscillator model can correlate the angular frequency with the change rate of the rate of profit thus with the economic growth rate, resulting the quantum-like interpretation of various business cycles. The matrix operator analysis of the Leontief’s input-output table, similar to the matrix mechanics of quantum physics, gives the Schrodinger function like value-price transformation eigen function, with the reduced organic composite of capital as the eigenvalue of the price wave function, namely the relations of production, leading to the "two Cambridge controversy" resolved. The statistic physical entropy increase theory...
The mathematical characterization of " the Productive Forces " of a macro economic system is based upon the analogy between political economy and Newtonian mechanics, which is expressed as the product of the growth rate of the profit rate (p) and the surplus value (M), showing several quantum qualities like a photon quanta. The one-dimensional linear harmonic oscillator model can correlate the angular frequency with the change rate of the rate of profit thus with the economic growth rate, resulting the quantum-like interpretation of various business cycles. The matrix operator analysis of the Leontief's input-output table, similar to the matrix mechanics of quantum physics, gives the Schrodinger function like value-price transformation eigenequation (), with the reduced organic composite of capital as the eigenvalue of the price wave function, leading to the characterization of the production relations with respect to the statistic physical entropy increase theory combined with the Marx production function system, as well as the general equilibrium nature of the AK model and the quantitative formulation of the theory of spontaneous order.
Methods of mathematical quantum theory in selected economic models
Mathematical Economics, 2018
The issue of using the physical method in economics is no longer an innovative idea. However, nowadays the methods of mathematical quantum mechanics are also applied to economic sciences. This is the natural result of the fact that as applicable in quantum mechanics, mathematical spaces and tools turn out to be useful in other fields of science. Then it is possible to assume that the problem of the choice of the space is a universal question that is associated not only with mathematics and physics but also with economics or social sciences. In this paper the author considers various formulations of Hilbert space in relation to finite-dimensional quantum mechanics which constitutes a fundament to also apply my outcomes in economics. On the basis of mathematical considerations the author puts forward the hypothesis that the complex Hilbert space is characterized with numerous advantages in relation to its real and quaternionic alternatives.
SSRN Electronic Journal, 2000
The research article presents the highly innovative theoretical research results: 1) the new quantum microeconomics theory in the quantum econophysics science is formulated; the idea on the existence of the discrete-time induced quantum transitions of firm's earnings (the firm's value) in the quantum microeconomics theory in the quantum econophysics science is proposed; 2) the formulas (1, 2) to compute the firm's discrete-time EBITDA (the firm's value) changes at the different time moments in the quantum microeconomics theory in the quantum econophysics science is derived; 3) the formulas (3, 4) to calculate the distribution of a number of the firms' excited business processes of certain value at the selected firm's state in the economy of scale and scope in terms of the quantum microeconomics theory in the quantum econophysics science is presented; 4) the notion on the wave function in the quantum microeconomics theories in the quantum econophysics science is introduced; 5) the formulas (5, 6) to predict the firm's discrete-time EBITDA (the firm's value) state changes in the national/global economies at the certain time moment, using the wave functions in the quantum econophysical time-dependent/time independent wave equations in the quantum microeconomic theory in the quantum econophysics science, are derived; 6) the evolutionary shifts from the classic economic theories to the quantum economic theories, from the analogue economic signal processing to the digital economic signal processing, from the continuous-time signal filtering economic prediction techniques to the wave functions computing economic prediction techniques in application to the quantum econophysics science are described; 7) the perspectives of application of the quantum microeconomics theory in the quantum econophysics science with the aim to solve the various economic problems in the real-and speculative-sectors of economic markets are discussed.
The Quantum Economics Paradigm: Exploring the Interplay of Economics and Quantum Mechanics
This article introduces the concept of Quantum Economics, a novel field that applies quantum mechanics to economic theory and practice. It explores the theoretical foundations, potential applications, and challenges of this paradigm. Quantum Economics draws inspiration from quantum mechanics, incorporating principles like superposition, entanglement, and uncertainty into economic analysis. It investigates the potential of quantum computing in enhancing financial modeling, offering more accurate economic predictions. The text also discusses how economic variables can exhibit similarities to entangled quantum particles, leading to a deeper understanding of market dynamics and systemic risk. Real-world applications of Quantum Economics, including portfolio optimization and supply chain management, are highlighted. However, the article also recognizes the challenges associated with implementing quantum principles in economics. In summary, this article provides an overview of Quantum Economics, showcasing its potential for transforming economic analysis while acknowledging the existing challenges. It serves as an introduction to a cutting-edge interdisciplinary field with implications for the future of economic research and practice.
Quantum Economics: A Systematic Literature Review
In the 21st century, various socioeconomic crises have revealed that traditional economic science and (neo)classical thinking are unable to explain all the complexity of current economic problems, therefore the application of more complex and non-trivial economic concepts is gaining relevance. In addition to behavioral and evolutionary economic thinking, models of quantum economics have been developed in recent years, which allow solving economic problems, using mainly quantum thinking and the principles of quantum physics, in particular particle-wave dualism, the principle of uncertainty, the absence of a subject-object distinction, superposition and confusion. The article addresses 3 research questions (RQ). According to RQ1, the paper finds that quantum economics research is dominated by the following topics: quantum economics, quantum finance, quantum decision making, and quantum game theory. According to these four thematic descriptors, the article carries out a systematic modern review of scientific works in the period from 1978 to 2022 (if only 50 works were published in 1978-1999, then in 2000-2022 already 3430), with an emphasis on the most cited (Google Scholar) English-language journal articles. The analysis showed that articles on this topic are published mainly in journals of a non-economic profile, that the peaks of publication activity occur at times of powerful socioeconomic upheavals (for example, the dot.com bubble, the substandard/financial crisis, the European debt crisis, the coronavirus pandemic, etc.). In accordance with RQ2, the article defines the key characteristics of the quantum economic model: in contrast to neoclassical economics (based on mechanistic classical physics, is rational and deterministic, with the help of the invisible hand of the market it leads to a stable equilibrium), the quantum approach, on the contrary, considers the economy as more complex, empirically oriented, uncertain, probabilistic, superpositional, as an archetypal example of a quantum social system that has its own versions of duality, measurement, and entanglement. According to RQ 3, the article determines to what extent quantum economics can update (neo)classical economics (integration of new ontological premises into economic thinking, more experimental and practical approach, connection between the concept of entanglement and sustainable development, management of financial risks based on the concept of quantum probability, rethinking the concept of randomness by quantum probability, introduction of quantum money, equilibrium using quantum games, etc.).
Socio-Economic Sciences: Beyond Quantum Math-like Formalisms
Quantum Reports
Since the beginning of the 21st century, a new interdisciplinary research movement has started, which aims at developing quantum math-like (or simply quantum-like) models to provide an explanation for a variety of socio-economic processes and human behaviour. By making use of mainly the probabilistic aspects of quantum theory, this research movement has led to many important results in the areas of decision-making and finance. In this article, we introduce a novel and more exhaustive approach, to analyze the socio-economic processes and activities, than the pure quantum math-like modelling approach, by taking into account the physical foundations of quantum theory. We also provide a plausibility argument for its exhaustiveness in terms of what we can expect from such an approach, when it is applied to, for example, a generic socio-economic decision process.
Chaos and Nonlinear Dynamics in a Quantum Artificial Economy
2012
Chaos and nonlinear economic dynamics are addressed for a quantum coupled map lattice model of an artificial economy, with quantized supply and demand equilibrium conditions. The measure theoretic properties and the patterns that emerge in both the economic business volume dynamics' diagrams as well as in the quantum mean field averages are addressed and conclusions are drawn in regards to the application of quantum chaos theory to address signatures of chaotic dynamics in relevant discrete economic state variables.
Emergent quantum mechanics of finances
Physica A: Statistical Mechanics and its Applications, 2014
This paper is an attempt at understanding the quantum-like dynamics of financial markets in terms of non-differentiable price-time continuum having fractal properties. The main steps of this development are the statistical scaling, the nondifferentiability hypothesis, and the equations of motion entailed by this hypothesis. From perspective of the proposed theory the dynamics of S&P500 index are analyzed.
A quantum model for the stock market
Beginning with several basic hypotheses of quantum mechanics, we give a new quantum model in econophysics. In this model, we define wave functions and operators of the stock market to establish the Schrödinger equation for the stock price. Based on this theoretical framework, an example of a driven infinite quantum well is considered, in which we use a cosine distribution to simulate the state of stock price in equilibrium. After adding an external field into the Hamiltonian to analytically calculate the wave function, the distribution and the average value of the rate of return are shown.