The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem

1985 ◽  
pp. 237-256 ◽  
Author(s):  
B. J. Hiley
Keyword(s):  
Measurement Problem ◽  
Quantum Potential ◽  
Particle Trajectories

THE ROLE OF UNBOUNDED TIME-SCALES IN GENERATING LONG-RANGE MEMORY IN ADDITIVE MARKOVIAN PROCESSES

2013 ◽  
Vol 12 (02) ◽  
pp. 1340002 ◽  
Author(s):  
SALVATORE MICCICHÈ ◽  
FABRIZIO LILLO ◽  
ROSARIO N. MANTEGNA
Keyword(s):  
Time Scales ◽  
Power Law ◽  
Planck Equation ◽  
Markovian Process ◽  
Quantum Potential ◽  
Autocorrelated Process ◽  
Markovian Processes ◽  
Exactly Solvable ◽  
The Continuum

Any additive stationary and continuous Markovian process described by a Fokker–Planck equation can also be described in terms of a Schrödinger equation with an appropriate quantum potential. By using such analogy, it has been proved that a power-law correlated stationary Markovian process can stem from a quantum potential that (i) shows an x-2 decay for large x values and (ii) whose eigenvalue spectrum admits a null eigenvalue and a continuum part of positive eigenvalues attached to it. In this paper we show that such two features are both necessary. Specifically, we show that a potential with tails decaying like x-μ with μ < 2 gives rise to a stationary Markovian process which is not power-law autocorrelated, despite the fact that the process has an unbounded set of time scales. Moreover, we present an exactly solvable example where the potential decays as x-2 but there is a gap between the continuum spectrum of eigenvalues and the null eigenvalue. We show that the process is not power law autocorrelated, but by decreasing the gap one can arbitrarily well approximate it. A crucial role in obtaining a power-law autocorrelated process is played by the weights [Formula: see text] giving the contribution of each time-scale contribute to the autocorrelation function. In fact, we will see that such weights must behave like a power-law for small energy values λ. This is only possible if the potential VS(x) shows a x-2 decay to zero for large x values.

scholarly journals Quantum Trajectories: Real or Surreal?

Entropy ◽  
2018 ◽  
Vol 20 (5) ◽  
pp. 353 ◽  
Author(s):  
Basil Hiley ◽  
Peter Van Reeth
Keyword(s):  
Quantum Mechanics ◽  
Numerical Investigation ◽  
Quantum Potential ◽  
Quantum Trajectories ◽  
Bohm Trajectories

The claim of Kocsis et al. to have experimentally determined “photon trajectories” calls for a re-examination of the meaning of “quantum trajectories”. We will review the arguments that have been assumed to have established that a trajectory has no meaning in the context of quantum mechanics. We show that the conclusion that the Bohm trajectories should be called “surreal” because they are at “variance with the actual observed track” of a particle is wrong as it is based on a false argument. We also present the results of a numerical investigation of a double Stern-Gerlach experiment which shows clearly the role of the spin within the Bohm formalism and discuss situations where the appearance of the quantum potential is open to direct experimental exploration.

scholarly journals Statistical Analysis of List Experiments

2012 ◽  
Vol 20 (1) ◽  
pp. 47-77 ◽  
Author(s):  
Graeme Blair ◽  
Kosuke Imai
Keyword(s):  
Open Source Software ◽  
Multivariate Regression ◽  
Measurement Problem ◽  
Racial Prejudice ◽  
Regression Estimators ◽  
Multivariate Relationships ◽  
Simple Difference ◽  
Sensitive Issues ◽  
Empirical Illustration

The validity of empirical research often relies upon the accuracy of self-reported behavior and beliefs. Yet eliciting truthful answers in surveys is challenging, especially when studying sensitive issues such as racial prejudice, corruption, and support for militant groups. List experiments have attracted much attention recently as a potential solution to this measurement problem. Many researchers, however, have used a simple difference-in-means estimator, which prevents the efficient examination of multivariate relationships between respondents' characteristics and their responses to sensitive items. Moreover, no systematic means exists to investigate the role of underlying assumptions. We fill these gaps by developing a set of new statistical methods for list experiments. We identify the commonly invoked assumptions, propose new multivariate regression estimators, and develop methods to detect and adjust for potential violations of key assumptions. For empirical illustration, we analyze list experiments concerning racial prejudice. Open-source software is made available to implement the proposed methodology.

scholarly journals The Concept of Effective Organization for Quality Performance of Public Administration: For New Democracies

2021 ◽  
Vol 04 (12) ◽  
Author(s):  
Josip Jambrač ◽  
Keyword(s):  
Performance Measurement ◽  
Public Administration ◽  
Social Values ◽  
Measurement Problem ◽  
Political Organization ◽  
Quality Performance ◽  
The Public ◽  
The Social ◽  
Effective Organization

The article considers a possible public administration performance measurement regarding to political organization situation in Croatia. The first performance measurement problem comes from multilevel responsibility and co-production implementations. Second comes with emergence of multilevel products origin. Thirdly, state is very open and integrated in the EU and globalization influence. Therefore, it is crucially important to identify products and the evaluation indicators of the public administration, according with the public goals and social values. The article considers the performance measurement and management methodological at an organizational frame and it also considers the social values influence on a methodology and the role of the public administration in fulfilment of the public policy. Finally, effective organization possible could be built and improved by measuring effectiveness. The paper has tried to show the public service complexity work and the purpose, but first of all the importance public administration for achieving public goals.

scholarly journals From the Quantum to the Macroscopic Level: The Journey of Information Through Our Complex System

2020 ◽  
Author(s):  
Sara Diani
Keyword(s):  
Complex System ◽  
Quantum Potential ◽  
Point Of View ◽  
Hopfield Networks ◽  
Organizational Role ◽  
Global Computing ◽  
Initial Hypothesis ◽  
Quantum Phenomena ◽  
Non Locality

As a complex system, our body acts as a whole system connected to the environmental incitements. It is ordered, coherent, and tries to maintain the least possible entropy, saving the greatest amount of energy. In order to explain the dynamics of the systemic regulative network, a theoretical and speculative model is proposed, with a comprehensive approach that allows seeing the entire regulative system as a continuous unicuum. This paper covers two themes: 1) the connections between the quantum level and the classical one, through some principles of the QFT and through the Coherence Domains. The system is modeled as a field described by the wave function, with synchronous and consistent events, driven in a global computing by the quantum potential Q. The quantum potential implies the non-locality, and it needs only ultra-weak waves to occur, so it may explain how the rapid and global activation of the organism in response to perturbation/punctiform information works. The initial hypothesis is that some consistent quantum phenomena are amplified through the systemic regulative network until they become macroscopic observable. This is possible because of Coherence Domains. 2) The reactions of the different systemic networks to perturbations/punctiform information, with the attempt to model and measure information in biology, going beyond the Shannon and Turing theories. Hopfield Networks and an informational point of view are used to address the crucial informational and organizational role of proteins and nucleic acids.

scholarly journals Why Quantum Correlates of Consciousness Are Fine, But Not Enough

1969 ◽  
Vol 3 (1) ◽  
Author(s):  
Rüdiger Vaas
Keyword(s):  
Theory Of Mind ◽  
Quantum Physics ◽  
Measurement Problem ◽  
Conscious Experience ◽  
Neural Correlates ◽  
Explanatory Gap ◽  
Naturalistic Theory ◽  
Quantum Phenomena ◽  
The Mind

The existence of quantum correlates of consciousness (QCC) is doubtful from a scientific perspective. But even if their existence were verified, philosophical problems would remain. On the other hand, there could be more to QCC than meets the sceptic's eye: • QCC might be useful or even necessary for a better understanding of conscious experience or quantum physics or both. The main reasons for this are: the measurement problem (the nature of observation, the mysterious collapse of the wave function, etc.), ostensibly shared features of quantum phenomena and conscious phenomena (e.g., complementarity, nonspatiality, acausality, spontaneity, and holism) and connections (ontology, causation, and knowledge), the qualia problem (subjectivity, explanatory gap etc.). But there are many problems, especially questions regarding realism and the nature and role of conscious observers; • QCC are conceptually challenging, because there are definitory problems and some crucial ontological and epistemological shortcomings. It is instructive to compare them with recent proposals for understanding neural correlates of consciousness (NCC). QCC are not sufficient for a quantum theory of mind, nor might they be necessary except perhaps in a very broad sense; • QCC are also empirically challenging. Nevertheless, QCC could be relevant and important for the mindbody problem: QCC might reveal features that are necessary at least for behavioral manifestations of human consciousness. But QCC are compatible with very different proposals for a solution of the mind-body problem. This seems to be both advantageous and detrimental. QCC restrict accounts of nomological identity. The discovery of QCC cannot establish a naturalistic theory of mind alone. But there are also problems with QCC in the framework of other ontologies.

scholarly journals From the Quantum to The Macroscopic Level A New Systemic Model for Our Complex System

2020 ◽  
Author(s):  
Sara Diani
Keyword(s):  
Complex System ◽  
Quantum Potential ◽  
Point Of View ◽  
Hopfield Networks ◽  
Global Computing ◽  
Initial Hypothesis ◽  
Points Of View ◽  
Information Work ◽  
Quantum Phenomena

As a Complex System, our body acts as a whole system connected to the environmental incitements. It is ordered, coherent, tries to maintain the least possible entropy, saving the greatest amount of energy. We can observe its active systemic response to environmental information both when it is healthy and ill. To explain the dynamics of the systemic regulative network a theoretical model is proposed, with a comprehensive approach that allows seeing the entire regulative syste m as a continuous unicuum. The paper analyzes two points of view: 1) the connections between the quantum level and the classical one, through some principles of the QFT and through the Coherence Domains. The system is modeled as a field described by the wa ve function, with synchronous and consistent events, driven in a global computing by the quantum potential Q. The quantum potential implies the non locality, and it needs only ultra weak waves to occur, so it explains how the rapid and global activation of the organism in response to punctiform information work. The initial hypothesis is that some consistent quantum phenomena are amplified through the systemic regulative network until they become macroscopic observable. This is possible because of Coherence Domains. 2) The reactions of the different systemic networks to perturbations/punctiform information, with the first attempt to model and measure information in biology, going beyond the Shannon and Turing theories. Hopfield Networks and an informational point of view are used to address the crucial informational and organizational role of proteins and nucleic acids. With this new frame we could develop innovative therapeutic strategies, and also evolve new experimental way to make our clinical observation more precise.

scholarly journals The geometrical origin of dark energy

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Alon E. Faraggi ◽  
Marco Matone
Keyword(s):  
Dark Energy ◽  
Quantum Potential ◽  
Kinetic Term ◽  
Vacuum Energy Density ◽  
Einstein Tensor ◽  
Hubble Radius ◽  
Geometrical Formulation ◽  
The Universe ◽  
Hamilton Jacobi Equation

AbstractThe geometrical formulation of the quantum Hamilton–Jacobi theory shows that the quantum potential is never trivial, so that it plays the rôle of intrinsic energy. Such a key property selects the Wheeler–DeWitt (WDW) quantum potential $$Q[g_{jk}]$$ Q [ g jk ] as the natural candidate for the dark energy. This leads to the WDW Hamilton–Jacobi equation with a vanishing kinetic term, and with the identification $$\begin{aligned} \Lambda =-\frac{\kappa ^2}{\sqrt{{\bar{g}}}}Q[g_{jk}]. \end{aligned}$$ Λ = - κ 2 g ¯ Q [ g jk ] . This shows that the cosmological constant is a quantum correction of the Einstein tensor, reminiscent of the von Weizsäcker correction to the kinetic term of the Thomas–Fermi theory. The quantum potential also defines the Madelung pressure tensor. The geometrical origin of the vacuum energy density, a strictly non-perturbative phenomenon, provides strong evidence that it is due to a graviton condensate. Time independence of the regularized WDW equation suggests that the ratio between the Planck length and the Hubble radius may be a time constant, providing an infrared/ultraviolet duality. We speculate that such a duality is related to the local to global geometry theorems for constant curvatures, showing that understanding the universe geometry is crucial for a formulation of Quantum Gravity.

From the Role of Context to the Measurement Problem: The Dutch Connection Pays Tribute to Guy Van Orden

2013 ◽  
Vol 25 (3) ◽  
pp. 240-247 ◽  
Author(s):  
Anna M. T. Bosman ◽  
Ralf C. A. Cox ◽  
Fred Hasselman ◽  
Maarten L. Wijnants
Keyword(s):  
Measurement Problem
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