The traditional formalism of quantum mechanics is mainly used to describe ensembles of identical systems (with a density-operator formalism) or single isolated systems, but is not capable of describing single open quantum objects with many degrees of freedom showing pure-state stochastic dynamical behaviour. In particular, stochastic 'line-migration' as in single-molecule spectroscopy of defect molecules in a molecular matrix is not adequately described. Starting with the Bohr scenario of stochastic quantum jumps (between strict energy eigenstates), we try to incorporate more general (...) pure-state stochastic dynamical behaviour into the quantum mechanical formalism.Probability distributions of (approximately) pure states, arising through the stochastic pure-state dynamics for long times, give rise to appropriate decompositions of thermal density operators. These decompositions of density operators into pure states mediate between quantum mechanics for ensembles of molecules and quantum theory for single molecules (or single dressed quantum objects). We suggest that such decompositions should be consistent with infinite limits (e.g. the Born-Oppenheimer limit for infinite nuclear masses) in the sense that quantum fluctuations (around classical behaviour in the infinite limit) die out asymptotically. (shrink)

Fluctuation phenomena are the ''tip of the iceberg'' revealing the existence, behind even the most quiescent appearing macroscopic states, of an underlying world of agitated, ever-changing microscopic processes. While the presence of these fluctuations can be ignored in some cases, e.g. if one is satisfied with purely thermostatic description of systems in equilibrium, they are central to the understanding of other phenomena, e.g. the nucleation of a new phase following the quenching of a system into the co-existence region. This (...) volume, originally published several years ago, has stood the test of time well, as interest in fluctuation phenomena continues to grow. It contains a collection of review articles, some of them updated, written by experts in the field, on the subject of fluctuation phenomena. Some of the articles are of a very general nature discussing the modern mathematical formulation of the problems involved, while other articles deal with specific topics such as kinetics of phase transitions and conductivity in solids. The juxtaposition of the variety of physical situations in which fluctuation phenomena play an important role is novel and should give the reader a comprehensive and deeper insight into this fascinating subject. (shrink)

The present study examined whether emotional text content influences cognitive engagement and transportation during listening (Experiment 1) and reading (Experiment 2) of neutral, horror and erotic stories. In Experiment 1, fluctuation in arousal and cognitive engagement were measured by continuous arousal judgments and head movement recordings during story listening. Participants rated experienced transportation and emotional valence after each story. The results showed that emotional texts were more arousing and induced more transportation than neutral stories. There was less head motion overall (...) and a steeper decrease in head motion across time for erotic than neutral or horror stories. In Experiment 2, participants’ head movements and reading times were recorded during reading, and participants rated experienced transportation, arousal, and valence after each text. The results showed that emotional texts were more arousing and induced higher transportation than neutral stories. There was less head motion during reading of erotic than neutral or horror texts. Horror texts were read slower and recalled better than neutral or erotic texts. The present results show that emotional text content impacts cognitive engagement during listening and reading of literary texts and demonstrates the importance of methodological triangulation when examining cognitive engagement. (shrink)

Fluctuating asymmetry (FA) is small deviations from perfect symmetry in normally bilaterally symmetrical traits. We examined the relationship between FA of five body traits (ear height, length of three digits, and ankle circumference) and self-reported scores of physical and verbal aggression in a sample of 90 boys aged 10 to 15 years. The relationships between FA and scores of aggression (particularly physical aggression) were found to be negative; in other words, the most symmetrical boys showed highest aggression. One trait (ankle (...) circumference) showed the characteristics of “ideal” FA—parametric mean of zero and a normal distribution. Mean asymmetries calculated from six repeated measures of ankle FA in 30 subjects taken over a period of five months showed strong negative associations with scores of physical aggression which were independent of age, height, and weight.It is argued that soft tissue “cyclical” FA (as opposed to “fixed” bony FA) is dependent on the secretion of hormones: for example, cortisol. Causal associations between behavioral traits such as aggresion and hormones will lead to similar correlations between FA and behavior. (shrink)

This book provides an introduction to applied statistical mechanics by considering physically realistic models. It provides a simple and accessible introduction to theories of thermal fluctuations and diffusion, and goes on to apply them in a variety of physical contexts. The first part of the book is devoted to processes in thermal equilibrium, and considers linear systems. Ideas central to the subject, such as the fluctuation dissipation theorem, Fokker-Planck equations and the Kramers-Kroenig relations are introduced during the course of (...) the exposition. The scope is then expanded to include non-equilibrium systems and also illustrates simple nonlinear systems. This book will be of interest to final year undergraduate and graduate students studying statistical mechanics, plasma physics, basic electronics, solid state physics and anyone who wants an accessible introduction to the subject. (shrink)

Macroeconomic fluctuations in interest rates, exchange rates, and inflation can be considered sources of good or bad “luck” for corporate performance if management is unable to adjust operations to these fluctuations. Based on a sample of 2,091 US firms, we decompose the impacts of macroeconomic fluctuations on three measures of CEO compensation. Our study provides empirical support for the importance of considering macroeconomic fluctuations in designing CEO incentive schemes. It adds to the managerial power literature on (...) moral hazard and CEO compensation by pinpointing the obvious risk that the CEO in an asymmetric and non-linear reward system will be inclined to prioritize his/her own cash flow at the expense of fulfilling an assumed agency role. The policy conclusion for remuneration committees and board of directors is to filter out macroeconomic influences on performance to be rewarded whenever an asymmetric compensation scheme has been opted for. (shrink)

We propose a stochastic modification of the Schrödinger–Newton equation which takes into account the effect of extrinsic spacetime fluctuations. We use this equation to demonstrate gravitationally induced decoherence of two gaussian wave-packets, and obtain a decoherence criterion similar to those obtained in the earlier literature in the context of effects of gravity on the Schrödinger equation.

According to the ancient commentaries, Iliad 21.195 was omitted by some sources, thereby making Acheloios, instead of Ocean, the origin of all waters, including the sea: the reasons for and the date of such a version of the text have been debated. In this paper 1 argue that the version without line 195 actually represents the earlier textual stage. This role of Acheloios is paralleled in the poem interpreted in the Derveni papyrus, and some features of Acheloios' cosmological function, as (...) well as his iconography, find interesting parallels in the Near East. As a 'cosmic' figure, Acheloios was in competition with Ocean, and is only rarely so represented in later preserved texts. His function as the origin of all fresh water and the source of all springs was more persistent, probably due also to his cultic role in Dodona: this, too, is probably reflected in another ancient variant for the text of Il. 16.234. (shrink)

The main goal of this paper is to present the Marian Smoluchowski’s work on thermal and primordial fluctuations which are the main cause of Brownian motion and one of the first empirical evidences for molecular structure of matter.

We investigate several fluctuation effects in high-energy hadronic and nuclear collisions through the analysis of different observables. To introduce fluctuations in the initial stage of collisions, we use the interacting gluon model (IGM) modified by the inclusion of the impact parameter. The inelasticity and leading-particle distributions follow directly from this model. The fluctuation effects on rapidity distributions are then studied using Landau's hydrodynamic model in one dimension. To investigage further the effects of the multiplicity fluctuation, we use the longitudinal (...) phase-space model, with the multiplicity distribution calculated within the hydrodynamic model, and the initial conditions given by the IGM. Forward-backward correlation is obtained in this way. (shrink)

It is shown that if mental influence can change a position or momentum coordinate within the limits of the uncertainty principle, such change, when magnified by a single interaction, is sufficient to order the direction of traveling molecules. Mental influence could initiate an action potential in the brain through this process by using the impact of ordered molecules to open the gates of sodium channels in neuronal membranes. It is shown that about 80 ordered molecules, traveling at thermal velocity in (...) the intercellular medium in the brain, can break an ionic or covalent bond, and that the number needed to initiate an action potential is relatively small. If mental influence can act within the brain, it is reasonable to suppose it can act to some extent outside of it. If mental influence could not only order the direction of individual molecules, but coordinate this effect to produce a longitudinal pressure wave which is reasonably coherent across a macroscopic surface, only 10^4 molecules need be simultaneously affected to produce a detectible sound wave. Such an effect is not ordinarily observed, which suggests that if mental influence acts by ordering the direction of molecules, it acts at the level of individual molecules, but does not coordinate their motion. (shrink)

The distribution function associated with a classical gas at equilibrium is considered. We prove that apart from a factorisable multiplier, the distribution function is fully determined by the correlations among local momenta fluctuations. Using this result we discuss the conditions which enable idealised local observers, who are immersed in the gas and form a part of it, to determine the distribution 'from within'. This analysis sheds light on two views on thermodynamic equilibrium, the 'ergodic' and the 'thermodynamic limit' schools, (...) and the relations between them. It also provides an outline for a new definition of equilibrium that is weaker than full ergodicity. Finally, we briefly discuss the possibility that the distribution can be determined by external observers. (shrink)

Fluctuating asymmetry is more a signal of genetic fitness than a marker observable only to the researcher. Hence, it has to be demonstrated that low FA is an honest signal of genetic quality; this has not been demonstrated in Gangestad & Simpson's otherwise useful review.

For people with Bipolar Affective Disorder, a self-binding (advance) directive (SBD), by which they commit themselves to treatment during future episodes of mania, even if unwilling, can seem the most rational way to deal with an imperfect predicament. Knowing that mania will almost certainly cause enormous damage to themselves, their preferred solution may well be to allow trusted others to enforce treatment and constraint, traumatic though this may be. No adequate provision exists for drafting a truly effective SBD and efforts (...) to establish such provision are hampered by very valid, but also paralysing ethical, clinical and legal concerns. Effectively, the autonomy and rights of people with bipolar are being 'protected' through being denied an opportunity to protect themselves. From a standpoint firmly rooted in the clinical context and experience of mania, this article argues that an SBD, based on a patient-centred evaluation of capacity to make treatment decisions (DMC-T) and grounded within the clinician-patient relationship, could represent a legitimate and ethically coherent form of self-determination. After setting out background information on fluctuating capacity, mania and advance directives, this article proposes a framework for constructing such an SBD, and considers common objections, possible solutions and suggestions for future research. (shrink)

This paper discusses what kind of quantitative information one can extract under which circumstances from proofs of convergence statements in analysis. We show that from proofs using only a limited amount of the law-of-excluded-middle, one can extract functionals , where L is a learning procedure for a rate of convergence which succeeds after at most B-many mind changes. This -learnability provides quantitative information strictly in between a full rate of convergence and a rate of metastability in the sense of Tao (...) . In fact, it corresponds to rates of metastability of a particular simple form. Moreover, if a certain gap condition is satisfied, then B and L yield a bound on the number of possible fluctuations. We explain recent applications of proof mining to ergodic theory in terms of these results. (shrink)

Fluctuations in attentional state and their relation to goal neglect were examined in the current study. Participants performed a variant of the Stroop task in which attentional state ratings were given prior to each trial. It was found that pre-trial attentional state ratings predicted subsequent trial performance, such that when participants rated their current attentional state as highly focused on the current task, performance tended to be high compared to when participants reported their current attentional state as being unfocused (...) on the current task. This effect was larger for incongruent than congruent trials leading to differences in the magnitude of the Stroop effect as a function of pre-trial attentional state. Furthermore, variability in attentional state was correlated with overall levels of performance, and when attentional state was covaried out, the Stroop effect was greatly reduced. These results suggest a link between fluctuations in pre-trial attentional state and goal neglect. (shrink)

A comparison between the standard adiabatic piston dynamics and that of a perfectly conducting (diathermal) piston helps to clarify their different behaviors and, in particular, the anomalously large random displacement of the adiabatic piston as compared to the diathermal one. It is shown to be associated with a situation where the presence of a single massive “particle” (the piston), acting as an internal constraint in a many-particle system, plays a somewhat unexpected relevant role. A significant physical insight accounting for the (...) above difference is gained by means of a simple analysis of the phase space available to our system. (shrink)

A modern assessment of the classical Boltzmann-Schuetz argument for large-scale entropy fluctuations as the origin of our observable cosmological domain is given.The emphasis is put on the central implication of this picture which flatly contradicts the weak anthropic principle as an epistemological statement about the universe. Therefore, to associate this picture with the anthropic principle as it is usually done is unwarranted. In particular, Feynman's criticism of theanthropic principle based on the entropy-fluctuation picture is a product of this semantic (...) confusion. (shrink)

I now understand why the invitation to contribute an article on “chaos theory” invoked both my excitement and reticience. Let me first explain my excitement in terms of intriguing developments generated by the Cosmic Background Explorer satellite. Since COBE strengthened an “inflationary” Big Bang Theory wherein the structure of the universe was induced by random statistical fluctuations, there are implications inter alia of thermodynamics for chaotic fluctuations in both the structure and biological systems formed from it. I shall (...) then explain my reticence concerning a chaosladen cosmology. Though it seems to call for an epistemological revision of deterministic scientific truth, the cosmology is as likely as one influenced by quantum mechanics to lead to either a pseudo-scientific connection of indeterminism to freedom and purpose or their dogmatic exclusion as possible “realities” by the natural and social sciences. What I will be concerned about are the conflation of physics with metaphysics and the need to metaphysically articulate the continuity between a primordial quantum fluctuation, biological “possibilities,” and human freedom. (shrink)

The menopause transition is associated with an increased risk of depressed mood. Preliminary evidence suggests that increased sensitivity to psychosocial stress, triggered by exaggerated perimenopausal estradiol fluctuation, may play a role. However, accurately quantifying estradiol fluctuation while minimizing participant burden has posed a methodological challenge in the field. The current pilot project aimed to test the feasibility of capturing perimenopausal estradiol fluctuation via 12 weekly measurements of estrone-3-glucuronide (E1G), a urinary metabolite of estradiol, using participant-collected urine samples in 15 euthymic (...) perimenopausal women ages 45-55 years. Furthermore, it aimed to correlate E1G fluctuation (standard deviation across the 12 E1G measurements) with weekly mood and cardiovascular, salivary cortisol, and subjective emotional responses to the Trier Social Stress Test (TSST) at weeks 4, 8 and 12. Protocol acceptability and adherence was high; furthermore, E1G fluctuation was positively associated with anhedonic depressive symptoms and weekly negative affect. E1G fluctuation was also associated with increased heart rate throughout the TSST as well as higher levels of rejection, anger, and sadness. E1G fluctuation was not significantly associated with TSST blood pressure or cortisol levels. This study suggests a feasible method of assessing estradiol fluctuation in the menopause transition and provides support for the hypothesis that perimenopausal estradiol fluctuation increases sensitivity to psychosocial stress and vulnerability to depressed mood. (shrink)

This paper explores a variety of perfect being theism that combines Yujin Nagasawa’s maximal God thesis with the view that God is not atemporal. We argue that the original maximal God thesis still implicitly relies on a “static” view of divine perfections. Instead, following the recent re-evaluation of divine immutability by analytic philosophers, we propose that thinking of divine great-making properties as fluctuating but nevertheless remaining maximal either for every time t or across all times strengthens the original maximal God (...) thesis. Furthermore, we show that “temporalising” Nagasawa’s maximal God and adopting what we call the fluctuating maximal God thesis provides more effective ways of responding to objections to perfect being theism, in particular, the argument from evil and some conceptual problems pertaining to the Incarnation. Finally, we demonstrate that our proposal is compatible with Christian Scriptures and coheres with numerous biblical passages better than Nagasawa’s original proposal does. (shrink)

The human brain’s ongoing activity is characterized by intrinsic networks of coherent fluctuations, measured for example with correlated functional magnetic resonance imaging signals. So far, however, the brain processes underlying this ongoing blood oxygenation level dependent (BOLD) signal orchestration and their direct relevance for human behavior are not sufficiently understood. In this study, we address the question of whether and how ongoing BOLD activity within intrinsic occipital networks impacts on conscious visual perception. To this end, backwardly masked targets were (...) presented in participants’ left visual field only, leaving the ipsi-lateral occipital areas entirely free from direct effects of task throughout the experiment. Signal time courses of ipsi-lateral BOLD fluctuations in visual areas V1 and V2 were then used as proxies for the ongoing contra-lateral BOLD activity within the bilateral networks. Magnitude and phase of these fluctuations were compared in trials with and without conscious visual perception, operationalized by means of subjective confidence ratings. Our results show that ipsilateral BOLD magnitudes in V1 were significantly higher at times of peak response when the target was perceived consciously. A significant difference between conscious and non-conscious perception with regard to the pre-target phase of an intrinsic-frequency regime suggests that ongoing V1 fluctuations exert a decisive impact on the access to consciousness already before stimulation. Both effects were absent in V2. These results thus support the notion that ongoing slow BOLD activity within intrinsic networks covering V1 represents localized processes that modulate the degree of readiness for the emergence of visual consciousness. (shrink)

Preference for partners with low fluctuating asymmetry (FA) may produce “good gene” benefits. However, Gangestad & Simpson's analysis does not exclude immediate benefits of fertility. Low FA is related to fertility in men and women. Short-term changes in FA are correlated with fertility in women. It is not known whether temporal fluctuations in the FA of men are related to short-term fertility status.

Transcranial magnetic stimulation can cause measurable effects on neural activity and behavioral performance in healthy volunteers. In addition, TMS is increasingly used in clinical practice for treating various neuropsychiatric disorders. Unfortunately, TMS-induced effects show large intra- and inter-subject variability, hindering its reliability, and efficacy. One possible source of this variability may be the spontaneous fluctuations of neuronal oscillations. We present recent studies using multimodal TMS including TMS-EMG, TMS-tACS, and concurrent TMS-EEG-fMRI, to evaluate how individual oscillatory brain state affects TMS (...) signal propagation within targeted networks. We demonstrate how the spontaneous oscillatory state at the time of TMS influences both immediate and longer-lasting TMS effects. These findings indicate that at least part of the variability in TMS efficacy may be attributable to the current practice of ignoring oscillatory fluctuations during TMS. Ignoring this state-dependent spread of activity may cause great individual variability which so far is poorly understood and has proven impossible to control. We therefore also compare two technical solutions to directly account for oscillatory state during TMS, namely, to use tACS to externally control these oscillatory states and then apply TMS at the optimal brain state, or oscillatory state-triggered TMS. The described multimodal TMS approaches are paramount for establishing more robust TMS effects, and to allow enhanced control over the individual outcome of TMS interventions aimed at modulating information flow in the brain to achieve desirable changes in cognition, mood, and behavior. (shrink)

The idea that the mass m of an elementary particle is explained in the semi-classical approximation by quantum-mechanical zero-point vacuum fluctuations has been applied previously to spin-1/2 fermions to yield a real and positive constant value for m, expressed through the spinorial connection Γ i in the curved-space Dirac equation for the wave function ψ due to Fock. This conjecture is extended here to bosonic particles of spin 0 and spin 1, starting from the basic assumption that all fundamental (...) fields must be conformally invariant. As a result, in curved space-time there is an effective scalar mass-squared term $m_{0}^{2}=-R/6=2\varLambda_{\mathrm{b}}/3$ , where R is the Ricci scalar and Λ b is the cosmological constant, corresponding to the bosonic zero-point energy-density, which is positive, implying a real and positive constant value for m 0, through the positive-energy theorem. The Maxwell Lagrangian density $\mathcal{L} =- \sqrt{-g}F_{ij}F^{ij}/4$ for the Abelian vector field F ij ≡A j,i −A i,j is conformally invariant without modification, however, and the equation of motion for the four-vector potential A i contains no mass-like term in curved space. Therefore, according to our hypothesis, the free photon field A i must be massless, in agreement with both terrestrial experiment and the notion of gauge invariance. (shrink)

The article follows on from Sadziński and is his “provocative” antithetical sequel. Ac cording to an internet research, sentences with even occasionally have no chronological order.The analysis carried out has shown that the sentence structures without time series mentioned often do ot understand themselves as temporal sentences. They are the result of de facto contamination with colloquially marked causal clauses.