Classical and quantum physics on phase space: The state spaces

2007 ◽  
pp. 90-94
Author(s):  
Nicolao Giovannini
Keyword(s):  
Phase Space ◽  
Quantum Physics ◽  
The State ◽  
State Spaces

scholarly journals Fourth Stage of the Information Revolution: Probable Drawings, Incredible Opportunities

2020 ◽  
pp. 11-24
Author(s):  
Volodymyr Vladymyrov
Keyword(s):  
Artificial Intelligence ◽  
Mass Communication ◽  
Quantum Physics ◽  
Opportunity To Learn ◽  
The State ◽  
Information Revolution ◽  
Fourth Stage ◽  
Human Communication ◽  
Ideal World ◽  
Mass Consciousness

The article discusses the prospects for the development of the mass communication science in the direction of including in its discourse the modern achievements in the field of the relation between quantum physics and consciousness as well as the artificial intelligence. It will give the media new opportunities to influence mass consciousness, and to impact social processes.It allows to forecast the rise of the next, the fourth stage of the information revolution and to recognize the ways for preparation to it. Quantum physics appears as classical physics develops in the study of the world. Scientists explain quantumness as the relations of everything with everything. Quantumism and consciousness are an already mastered topics of modern science. If we talk about mass consciousness, it should be recognized as a scholar problem and the existence of quantumness as an underlying phenomenon in mass communication. Perhaps this will be the content of the new, fourth stage of the information revolution – after its computer, Internet and mobile stages. Therefore, the urgency of the problem we are addressing is the need to “let in” quantum methods into the thinking, creation and dissemination of the mass-information product in the mass audience. Theorists of our scientific discipline are interested in precisely the new knowledge of quantum “confusion” in the depths of mass consciousness, which exists and manifests itself in the processes of mass communication. Then the quantum approach can be extremely fruitful here. Quantumism here appears both as a universal connection of everything with everything, and as the unpredictability of the nature of these connections from the point of view of ordinary and even dialectical logic. Here, the quantum logic of mass communication should be discovered. It should be noted that so far almost no one has noticed that media interference in the natural mental life of large human communities gives rise to a phenomenon similar to quantum “confusion”, when a change in the state of one “mass” thoughts occurs along with a change in the state of another. Quantum “confusion” is what permeates all the “matter” of human communication / existence. All participants in mass communication are “confused” with themselves, like photons in physics. And they’re not just confused, everybody is one and the part of whole in the external, “physical”, existing, and is the part of the ideal world, with its thoughts, hopes, emotions, “confused” in the Internet The introduction of quantumness as the leading principle of influence on mass consciousness is one of the three steps to a new stage in the information revolution. The second is the growing potential of artificial intelligence. The third is the gradual creation of quantum computers. All these together will make it possible to reach each recipient of information, to enter the inner, ideal world of an individual person, and even to see in this communication an intrapersonal discussion of a person with himself – and to control its course. Probably, the result will be the opportunity to learn to predict the unpredictable in behavior of “this” person in his behavior – in personal, group, intergroup, mass ones.

Conductance bounds on the L 2 convergence rate of Metropolis algorithms on unbounded state spaces

2004 ◽  
Vol 36 (01) ◽  
pp. 243-266
Author(s):  
Søren F. Jarner ◽  
Wai Kong Yuen
Keyword(s):  
Convergence Rate ◽  
Markov Chains ◽  
Spectral Gap ◽  
Unbounded Domains ◽  
Decomposition Theorem ◽  
Metropolis Algorithm ◽  
The State ◽  
Bounded Domains ◽  
Target Density ◽  
State Spaces

In this paper we derive bounds on the conductance and hence on the spectral gap of a Metropolis algorithm with a monotone, log-concave target density on an interval of ℝ. We show that the minimal conductance set has measure ½ and we use this characterization to bound the conductance in terms of the conductance of the algorithm restricted to a smaller domain. Whereas previous work on conductance has resulted in good bounds for Markov chains on bounded domains, this is the first conductance bound applicable to unbounded domains. We then show how this result can be combined with the state-decomposition theorem of Madras and Randall (2002) to bound the spectral gap of Metropolis algorithms with target distributions with monotone, log-concave tails on ℝ.

Bounds for the Reliability of Multistate Systems with Partially Ordered State Spaces and Stochastically Monotone Markov Transitions

2003 ◽  
Vol 10 (03) ◽  
pp. 235-248
Author(s):  
Bo Henry Lindqvist
Keyword(s):  
Markov Chain ◽  
System Performance ◽  
Failure Time ◽  
The State ◽  
Upper And Lower Bounds ◽  
State Spaces ◽  
Partially Ordered ◽  
Perfect System ◽  
Multistate System ◽  
Ordered State

Consider a multistate system with partially ordered state space E, which is divided into a set C of working states and a set D of failure states. Let X(t) be the state of the system at time t and suppose {X(t)} is a stochastically monotone Markov chain on E. Let T be the failure time, i.e., the hitting time of the set D. We derive upper and lower bounds for the reliability of the system, defined as Pm(T > t) where m is the state of perfect system performance.

Two types of approaches at personification medicine development

2015 ◽  
Vol 4 (1) ◽  
pp. 81-88
Author(s):  
Филатова ◽  
O. Filatova ◽  
Хадарцева ◽  
K. Khadartseva ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Medical Treatment ◽  
Basic Principle ◽  
State Vector ◽  
The State ◽  
Self Organization ◽  
Human Organism ◽  
Medicine Development ◽  
State Measurement

It is evident that requirement of medical personification includes two procedures: individual (with uninterrupted procedure of human organism state measurement) diagnostics and the second part which is connected with uninterrupted control of the efficiency of medical treatment and measurements of human organism parameters. According to classic deterministic-stochastic approaches we don´t have any possibility for realization of the basic principle in medicine because every human organism has its own specific features. We conduct the diagnostics according to beha-vior of state vector of human organism in phase space of states according to every coordinates of human´s state vector and with calculation of quasiattractors. It was presented new bioinformational methods and software for calculation of quasiattractors parameters for dissolving such contradic-tions between deterministic-stochastic medicine and the use of theory of chaos self-organization where the state vector of human organism demonstrates uninterrupted movements. The practical results of such procedure are also presented according to the theory of chaos self-organization.

Analysis of Myograms Acording to the Stochastics and the Chaos Theory – Self-Organization

2015 ◽  
Vol 22 (2) ◽  
pp. 32-38
Author(s):  
Григоренко ◽  
V. Grigorenko ◽  
Горбунов ◽  
D. Gorbunov ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Shannon Entropy ◽  
Chaos Theory ◽  
The State ◽  
Biomechanical Analysis ◽  
Self Organization ◽  
Biological Research ◽  
Dimensional Phase Space ◽  
Low Load ◽  
Little Finger

The paper shows the feasibility of applying the method of multi-dimensional phase space as a quantitative measure for the evaluation of chaotic dynamics on the example of the muscles (flexor of the little finger). The method of multi-dimensional phase space was used. In the study and modeling of complex biological objects (complexity) there is the possibility of introducing traditional physical methods in biological research and new methods based on the chaos theory and self-organization. As a measure of the state of the neuromuscular system of the person (weak muscle tension and strong, almost the maximum force), the authors used quasi-attractors volumes of multidimensional phase space. This enables identification of the actual measurements of the parameters of the functional state with weak muscles (Fi = 5 daN) and strong (Fi = 10 daN) static stress. The authors built a timebase signal received from the electromyograph and the autocorrelation function A(t) of signal. A biomechanical analysis of the state of the system is carried out on the basis of comparison of the volume VG quasi attractor, as well as on the basis of the analysis of the Shannon entropy E. Volume of quasi attractor VG displacements under low load is slightly less than the same volume displacement VG with strong exertion of the muscles of the flexor of the little finger, exactly the same as the values of the Shannon entropy under a heavy load increases compared to the values obtained under low load the muscles.

On the Construction of Relativistic Representation Spaces in Functional Quantum Theory of the Nonlinear Spinor Field

1975 ◽  
Vol 30 (11) ◽  
pp. 1361-1371 ◽  
Author(s):  
H. Stumpf ◽  
K. Scheerer
Keyword(s):  
Quantum Theory ◽  
State Space ◽  
Functional State ◽  
Spinor Field ◽  
Function Spaces ◽  
The State ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
State Spaces ◽  
Representation Spaces

Functional quantum theory is defined by an isomorphism of the state space H of a conventional quantum theory into an appropriate functional state space D It is a constructive approach to quantum theory in those cases where the state spaces H of physical eigenstates cannot be calculated explicitly like in nonlinear spinor field quantum theory. For the foundation of functional quantum theory appropriate functional state spaces have to be constructed which have to be representation spaces of the corresponding invariance groups. In this paper, this problem is treated for the spinor field. Using anticommuting source operator, it is shown that the construction problem of these spaces is tightly connected with the construction of appropriate relativistic function spaces. This is discussed in detail and explicit representations of the function spaces are given. Imposing no artificial restrictions it follows that the resulting functional spaces are indefinite. Physically the indefiniteness results from the inclusion of tachyon states. It is reasonable to assume a tight connection of these tachyon states with the ghost states introduced by Heisenberg for the regularization of the nonrenormalizable spinor theory

scholarly journals Specific Mathematical Aspects of Dynamics Generated by Coherence Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Ezzat G. Bakhoum ◽  
Cristian Toma
Keyword(s):  
Differential Equations ◽  
Complex Systems ◽  
Integral Equations ◽  
Quantum Physics ◽  
Initial Conditions ◽  
Coherence Function ◽  
Multiple Integral ◽  
The State ◽  
Integrodifferential Equations ◽  
State Variables

This study presents specific aspects of dynamics generated by the coherence function (acting in an integral manner). It is considered that an oscillating system starting to work from initial nonzero conditions is commanded by the coherence function between the output of the system and an alternating function of a certain frequency. For different initial conditions, the evolution of the system is analyzed. The equivalence between integrodifferential equations and integral equations implying the same number of state variables is investigated; it is shown that integro-differential equations of second order are far more restrictive regarding the initial conditions for the state variables. Then, the analysis is extended to equations of evolution where the coherence function is acting under the form of a multiple integral. It is shown that for the coherence function represented under the form of annth integral, some specific aspects as multiscale behaviour suitable for modelling transitions in complex systems (e.g., quantum physics) could be noticed whennequals 4, 5, or 6.

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