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Nonlinear brain dynamics as macroscopic manifestation of underlying manybody dynamics
, 2006
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On the cognitive experiments to test quantumlike behaviour of mind. quantph/0205092
"... We describe cognitive experiments (based on interference of probabilities for mental observables) which could verify quantumlike structure of mental measurements. In principle, such experiments can be performed in psychology, cognitive, and social sciences. Recently one of such experiments (describ ..."
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Cited by 18 (10 self)
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We describe cognitive experiments (based on interference of probabilities for mental observables) which could verify quantumlike structure of mental measurements. In principle, such experiments can be performed in psychology, cognitive, and social sciences. Recently one of such experiments (described in the first version of the preprint) based on recognition of images was performed. It confirms our prediction on quantumlike behaviour of mind. In fact, the general contextual probability theory predicts not only quantumlike trigonometric (cos θ) interference of probabilities, but also hyperbolic (cosh θ) interference of probabilities (as well as hypertrigonometric). In principle, statistical data obtained in experiments with cognitive systems can produce hyperbolic (cosh θ) interference of probabilities. At the moment there are no experimental confirmations of hyperbolic interference for cognitive systems. We introduce a wave function of (e.g., human) population. This function could be reconstructed on the basis of statistical data for two incompatible observables. In general, we should not reject the possibility that cognitive functioning is neither quantum nor classical. We discuss the structure of state spaces for cognitive systems.
Quantumlike brain: ”Interference of minds
 Biosystems
"... We present a general contextualistic statistical model for constructing quantumlike representations in physics, cognitive and social sciences, psychology, economy. In this paper we use this model to describe cognitive experiments (in particular, in psychology) to check quantumlike structures of me ..."
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We present a general contextualistic statistical model for constructing quantumlike representations in physics, cognitive and social sciences, psychology, economy. In this paper we use this model to describe cognitive experiments (in particular, in psychology) to check quantumlike structures of mental processes. The crucial role is played by interference of probabilities corresponding to mental observables. Recently one of such experiments based on recognition of images was performed. This experiment confirmed my prediction on quantumlike behaviour of mind. We present the procedure of constructing the wave function of a cognitive context on the basis of statistical data for two incompatible mental observables. We discuss the structure of state spaces for cognitive systems. In fact, the general contextual probability theory predicts not only quantumlike trigonometric (cos θ) interference of probabilities, but also hyperbolic (cosh θ) interference of probabilities (as well as hypertrigonometric). In principle, statistical data obtained in experiments with cognitive systems can produce hyperbolic (cosh θ) interference of probabilities. At the moment there are no experimental confirmations of hyperbolic interference for cognitive systems.
Dissipative neurodynamics in perception forms cortical patterns that are stabilized by vortices
"... Abstract. In the engagement of the brain with its environment, largescale neural interactions in brain dynamics create a mesoscopic order parameter, which is evaluated by measuring brain waves (electrocorticogram, ECoG). Such largescale interactions emerge from the background activity of the brain ..."
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Abstract. In the engagement of the brain with its environment, largescale neural interactions in brain dynamics create a mesoscopic order parameter, which is evaluated by measuring brain waves (electrocorticogram, ECoG). Such largescale interactions emerge from the background activity of the brain that is sustained by mutual excitation in cortical populations and manifest in spatiotemporal patterns of neural activity. Band pass filtering reveals beats in ECoG power that recur at theta rates (3−7 Hz) as null spikes in log10 power. The order parameter transiently approaches zero, and the microscopic activity is both disordered and symmetric. As the null spikes terminate, the order parameter resurges and imposes a mesoscopic spatial pattern of ECoG amplitude modulation that then governs the microscopic gamma activity and retrieves the memory of a stimulus. The brain waves reveal a spatial pattern of phase modulation in the form of a cone. The dissipative manybody model of brain dynamics describes these phase cones as vortices, which are initiated by the null spikes, and which stabilize the amplitude modulated patterns embedded in the turbulent neural noise from which they emerge. 1.
Dissipation and topologically massive gauge theories in the pseudoeuclidean
, 1996
"... In pseudoEuclidean metrics the ChernSimons gauge theory in the infrared region is found to be associated with dissipative dynamics. In the infrared limit the Lagrangian of (2+1)dimensional pseudoeuclidean topologically massive electrodynamics has indeed the same form as the Lagrangian of the damp ..."
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In pseudoEuclidean metrics the ChernSimons gauge theory in the infrared region is found to be associated with dissipative dynamics. In the infrared limit the Lagrangian of (2+1)dimensional pseudoeuclidean topologically massive electrodynamics has indeed the same form as the Lagrangian of the damped harmonic oscillator. On the hyperbolic plane a set of two damped harmonic oscillators, each timereversed from the other, is shown to be equivalent to a single undamped harmonic oscillator. The equations for the damped oscillators are proven to be the same as the ones for the Lorentz force acting on two particles carrying opposite charge in a constant magnetic field and in the electric harmonic potential. This provides an immediate link with ChernSimonslike dynamics of Bloch electrons in solids propagating along the lattice plane with a hyperbolic energy surface. The symplectic structure of the reduced theory is finally discussed in the Dirac constrained canonical formalism and in the FaddeevJackiw symplectic formalism. 1996 Academic Press, Inc. 1.
Mental Presence and the Temporal Present On the Missing Link between Brain Dynamics and Subjective Experience
"... This contribution ventures a look at quantum brain dynamics (QBD) through the glasses of phenomenology. In this view, QBD is about perception and recollection. Perception implies mental presence. Recollection makes sense only in a context in which present and past denote distinguished modes of exist ..."
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This contribution ventures a look at quantum brain dynamics (QBD) through the glasses of phenomenology. In this view, QBD is about perception and recollection. Perception implies mental presence. Recollection makes sense only in a context in which present and past denote distinguished modes of existing. In physical theory, both mental presence and the temporal present are supposed to be conscious phenomena. QBD thus is confronted with the question of how the physical and the phenomenal are interrelated. So far, the difference between the physical and the phenomenal aspect of the brain has been predominantly discussed in terms of the thirdperson and firstperson perspective. In the following, an alternative approach is put forward. The perspective of the first person and the perspective of the third person share a common viewpoint: the temporal present. In the perspective of the first person, the temporal present is indistinguishable from mental presence. In the perspective of the third person, the present is the viewpoint in time shared by all persons. The paper asks how this communality can be made productive for mediating the ontological difference between phenomenal consciousness and the reality described by physics.
Generalising Unitary Time Evolution
 In Proceedings of the Third Quantum Interaction Symposium, 2009. In
"... Abstract. In this third Quantum Interaction (QI) meeting it is time to examine our failures. One of the weakest elements of QI as a field, arises in its continuing lack of models displaying proper evolutionary dynamics. This paper presents an overview of the modern generalised approach to the deriva ..."
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Abstract. In this third Quantum Interaction (QI) meeting it is time to examine our failures. One of the weakest elements of QI as a field, arises in its continuing lack of models displaying proper evolutionary dynamics. This paper presents an overview of the modern generalised approach to the derivation of time evolution equations in physics, showing how the notion of symmetry is essential to the extraction of operators in quantum theory. The form that symmetry might take in nonphysical models is explored, with a number of viable avenues identified. 1 Quantum Interactions are not Evolving As a field Quantum Interaction (QI) has progressed well in recent years [10, 8]. It is clear that something is to be gained from applying the quantum formalism to the description of systems not generally considered physical [1, 4, 14, 16, 23]. However, despite this initial promise, there are many elements of quantum theory that have yet to be properly applied within this framework. Perhaps most notably, it is clear that time evolution has yet to be properly implemented (i.e.
Nedel, “Strings in horizons, dissipation and a simple interpretation of the Hagedorn temperature,” arXiv:hepth/0703064
"... In this letter we give a nice physical (rather semiclassical) argument, related to maximal acceleration and Rindler coordinates, to show the existence of a critical temperature for closed bosonic strings, beyond which, strings could not exist in thermal equilibrium. We also may estimate this critic ..."
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In this letter we give a nice physical (rather semiclassical) argument, related to maximal acceleration and Rindler coordinates, to show the existence of a critical temperature for closed bosonic strings, beyond which, strings could not exist in thermal equilibrium. We also may estimate this critical value by those same arguments, whose order of magnitude coincides with the Hagedorn temperature, providing an interpretation consistent with the fact of having a partition function which is bad defined for higher temperatures. In order to shed some light on the nature of this critical behavior, we consider the entanglement of closed bosonic strings intersecting an event horizon, and some elements of the simplest string field theory to argue that a dissipative behavior should be expected in this situation. Possible implications of the present approach on the microscopical structure of stretched horizons are also pointed out. 1
Crowd Behavior Dynamics: Entropic Path–Integral Model
, 906
"... We propose an entropic geometrical model of crowd behavior dynamics (with dissipative crowd kinematics), using Feynman action–amplitude formalism that operates on three synergetic levels: macro, meso and micro. The intent is to explain the dynamics of crowds simultaneously and consistently across th ..."
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We propose an entropic geometrical model of crowd behavior dynamics (with dissipative crowd kinematics), using Feynman action–amplitude formalism that operates on three synergetic levels: macro, meso and micro. The intent is to explain the dynamics of crowds simultaneously and consistently across these three levels, in order to characterize their geometrical properties particularly with respect to behavior regimes and the state changes between them. Its most natural statistical descriptor (order parameter) is crowd entropy S that satisfies the Prigogine’s extended second law of thermodynamics, ∂tS ≥ 0 (for any nonisolated multicomponent system). Qualitative similarities and superpositions between individual and crowd configuration manifolds motivate our claim that goaldirected crowd movement operates under entropy conservation, ∂tS = 0, while naturally chaotic crowd dynamics operates under (monotonically) increasing entropy function, ∂tS> 0. Between these two distinct topological phases lies a phase transition with a chaotic interphase. Both inertial crowd dynamics and its dissipative kinematics represent diffusion processes on the crowd manifold governed by the Ricci flow.