Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Article Types

Countries / Regions

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Search Results (347)

Search Parameters:
Keywords = comparative phenomenology

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
23 pages, 360 KB  
Article
Experiences and Impacts of Intimate Partner Violence Against Men in Northern Ireland: Qualitative Findings from the Male Experiences of Intimate Partner Violence Study
by Eric Spikol, Emily McGlinchey and Cherie Armour
Behav. Sci. 2026, 16(6), 1007; https://doi.org/10.3390/bs16061007 - 16 Jun 2026
Viewed by 302
Abstract
Intimate partner violence (IPV) affects individuals of all genders and can result in adverse physical, psychological, and social outcomes. Experiences of IPV in men remain understudied when compared with those of cisgender women, leading to considerable gaps in understanding of prevalence, experiences, disclosure, [...] Read more.
Intimate partner violence (IPV) affects individuals of all genders and can result in adverse physical, psychological, and social outcomes. Experiences of IPV in men remain understudied when compared with those of cisgender women, leading to considerable gaps in understanding of prevalence, experiences, disclosure, and outcomes. The Male Experiences of Intimate Partner Violence Study (ME-IPV Study) was designed to explore: nature of IPV experiences, physical and psychological impacts, barriers to reporting/disclosing, experiences of disclosure, experiences of support, and support needs in a Northern Ireland (NI) context. This mixed-method study utilised data from N = 10 qualitative interview participants (quantitative results reported separately), analysed using an Interpretative Phenomenological Analysis (IPA) framework. Participants described experiencing multiple forms of IPV, with coercive control, psychological and institutional abuse being highly prevalent. Detrimental effects of their experiences included diagnoses of anxiety, depression, and PTSD, physical symptomology, the advent/exacerbation of multiple health conditions, and suicidal ideation. Barriers to care were primarily a lack of dedicated care pathway, concerns over being believed, and stigmatic barriers. Experiences of disclosure were mixed: positive with family/friends and negative with police and institutions of state. Male experiences of IPV in NI are a significant public health issue and it is evident that the impacts of IPV on men’s physical/mental health and wellbeing are profound. Full article
(This article belongs to the Special Issue Male Intimate Partner and Sexual Victimisation)
44 pages, 11558 KB  
Review
Unified Description of Pseudoscalar Meson Structure from Light to Heavy Quarks
by Bilgai Almeida-Zamora, Luis Albino, Adnan Bashir, Jesús Javier Cobos-Martínez and Jorge Segovia
Symmetry 2026, 18(6), 1017; https://doi.org/10.3390/sym18061017 - 12 Jun 2026
Viewed by 115
Abstract
We review the structure of pseudoscalar mesons within an algebraic model formulated in the light-front framework. The approach provides a unified description of leading-twist parton distribution amplitudes, light-front wave functions, generalized parton distributions, parton distribution functions, elastic electromagnetic form factors, charge radii, and [...] Read more.
We review the structure of pseudoscalar mesons within an algebraic model formulated in the light-front framework. The approach provides a unified description of leading-twist parton distribution amplitudes, light-front wave functions, generalized parton distributions, parton distribution functions, elastic electromagnetic form factors, charge radii, and impact-parameter space distributions, all obtained from the same underlying Bethe–Salpeter wave-function representation. The analysis covers light mesons (π,K), the mixed ηη system, heavy–light states (D,Ds,B,Bs,Bc), and heavy quarkonia (ηc,ηb), thereby enabling a systematic study of quark-mass effects, flavor-symmetry breaking, and the transition from emergent hadronic mass to heavy-quark dynamics. Where available, results are compared with experimental measurements, functional methods such as lattice-QCD calculations and Dyson–Schwinger Equation formalism, and other phenomenological approaches. The algebraic model thus offers a transparent, symmetry-preserving, and analytically tractable framework for connecting the longitudinal, transverse-momentum, and spatial structure of pseudoscalar mesons across all quark-mass regimes. Full article
(This article belongs to the Section Physics)
Show Figures

Figure 1

28 pages, 3786 KB  
Article
HabSim: Modeling Disruptions, Propagation, Detection and Repair in Deep Space Habitats
by Luca Vaccino, Alana K. Lund, Shirley J. Dyke, Mohsen Azimi and Ethan Vallerga
Modelling 2026, 7(3), 109; https://doi.org/10.3390/modelling7030109 - 31 May 2026
Viewed by 273
Abstract
Establishing long-term human settlements in deep space presents significant challenges. Environmental conditions, such as extreme temperature fluctuations, micrometeorite impacts, seismic activity, and exposure to solar and cosmic radiation, pose obstacles to the design and operation of habitat systems. Prolonged mission duration and vast [...] Read more.
Establishing long-term human settlements in deep space presents significant challenges. Environmental conditions, such as extreme temperature fluctuations, micrometeorite impacts, seismic activity, and exposure to solar and cosmic radiation, pose obstacles to the design and operation of habitat systems. Prolonged mission duration and vast distances from Earth introduce further complications in the form of delayed communication and limited resources, making Earth independence through appropriate autonomous management systems especially desirable. Enabling the modeling and simulation of the consequences of disruptions and faults, and their propagation through the various habitat subsystems, is critically needed for the development of resilience-based design frameworks and methods for autonomous operation. While existing simulation tools can assist in modeling isolated aspects of damage, the integration of damage propagation and the capacity to enable detection and repair are rarely considered in a computational model. This paper introduces and demonstrates an architecture designed specifically to enable the modeling and integration of faults and damage, as well as their cascading effects. By combining physics-based and phenomenological models, our approach balances computational efficiency with model fidelity. After describing the modeling approach and corresponding architecture, we demonstrate its application within HabSim, a system-level space habitat model developed by the NASA-funded Resilient Extraterrestrial Habitat Institute (RETHi), as a simulation-based design aid suited to early-phase trade studies. Fire hazard propagation within a lunar habitat is used as an illustrative example of how the architecture supports modeling of disruption consequences, propagation, detection, and repair, and of how HabSim can be leveraged for stochastic simulations to support resilience assessment. Resilience-focused studies that apply this architecture can quantify and compare design alternatives. Full article
(This article belongs to the Special Issue The 5th Anniversary of Modelling)
Show Figures

Figure 1

28 pages, 3763 KB  
Article
Finite-Dimension Thermodynamics for Optimizing Power Plants Including Heat-Storage Device
by Pierre Neveu, Baptiste Rebouillat and Quentin Falcoz
Energies 2026, 19(11), 2615; https://doi.org/10.3390/en19112615 - 28 May 2026
Viewed by 160
Abstract
This paper deals with the optimal integration of power plants, including a storage device. For such systems, numerous structures are possible, involving different numbers of heat exchangers, and for each of them, optimal operating temperatures need to be found. Moreover, the heat-storage system [...] Read more.
This paper deals with the optimal integration of power plants, including a storage device. For such systems, numerous structures are possible, involving different numbers of heat exchangers, and for each of them, optimal operating temperatures need to be found. Moreover, the heat-storage system can be located at different temperature levels, offering another degree of freedom when optimizing the whole system. If process simulators are presently very powerful tools for optimizing complex processes, they need to propose a primary design before any optimization steps. Finite-Dimension Thermodynamics (FDT) could help engineers to propose this primary design, close to the optimal one. To this aim, the FDT method is generalized for power-generation systems including a storage device and any number of heat exchangers. The optimization step consists of maximizing the power generation submitted to the thermodynamics constraints (first and second laws) related to each heat exchanger, power block, and thermal storage system. Two types of heat transfer law are studied and compared: Newton’s law K×T and phenomenological law issued from thermodynamics of irreversible processes L×1/T). Remarkable results have been found: (i) all the studied structures lead to the Curzon–Ahlborn efficiency when optimized with Newton’s law, (ii) for the same driving source (same high temperature and same power), and without any storage system, the output power production varies as N−2, N being the number of the heat exchangers, (iii) Charge and discharge times scenarios have a big impact on the optimal operating temperatures and on the resulting daily energy production. Efficiencies of operational plants, including nuclear or solar plants and ORC, are finally compared with the theoretical efficiency found at the maximum power point. This shows that FDT provides a good assessment of the actual efficiency of existing power plants. Full article
(This article belongs to the Special Issue Advanced Analysis of Thermodynamic and Thermal Energy)
Show Figures

Figure 1

20 pages, 1527 KB  
Article
A Local Phase-Field Framework for Spin Entanglement Correlations
by Doron Kwiat
Quantum Rep. 2026, 8(2), 47; https://doi.org/10.3390/quantum8020047 - 15 May 2026
Viewed by 284
Abstract
We introduce a local phase-field framework for spin-entanglement correlations. In this framework, the relevant hidden variable is an internal scalar phase associated with each fermion and derived from two underlying real fields. The fields are assumed to evolve locally in ordinary spacetime. When [...] Read more.
We introduce a local phase-field framework for spin-entanglement correlations. In this framework, the relevant hidden variable is an internal scalar phase associated with each fermion and derived from two underlying real fields. The fields are assumed to evolve locally in ordinary spacetime. When a particle pair is produced at a common spacetime event, the pair acquires a shared phase-locking condition at creation; after separation, the two internal phases evolve independently and no nonlocal interaction is introduced. Spin measurements by Stern–Gerlach analyzers are modeled as local filtering operations. Each local response depends only on the internal phase carried by the particle and on the orientation of the local analyzer. The local response function A(α,λ) = cos(λ − 2α) is derived from the spinorial transformation law of the underlying real field pair and the projection geometry of the detector interaction; it is not a phenomenological ansatz. From these deterministic local responses we derive an analog correlator. The raw product moment of the continuous detector outputs evaluates to ⟨AB⟩ = −½ cos 2(α − β), which satisfies classical Clauser-Horne-Shimony-Holt (CHSH) bounds. After Pearson normalization—the operationally appropriate correlation measure for continuous analog detector outputs, justified by channel-contrast physics and scale invariance—the normalized correlator yields E(α,β) = −cos 2(α − β), matching the quantum singlet correlator in functional form. When this normalized correlator is inserted into the CHSH expression, it yields the numerical value 2√2. This result is a structural consequence of the reduced marginal variance of continuous response functions relative to the unit-variance dichotomic observables assumed in Bell’s derivation; it does not constitute a violation of Bell’s inequality. The model does not reproduce quantum singlet statistics at the level of binary detector outcomes, where the correlator takes a triangular rather than cosine form. The contribution is therefore ontological and conceptual rather than predictive. The framework preserves parameter independence and no-signaling throughout. It provides a concrete real-field ontology for spin correlations based on internal phase structure, and it demonstrates that the functional form of the quantum singlet correlation can be obtained from a strictly local deterministic description, provided that the detector responses are treated as continuous analog quantities and normalized accordingly. We compare the model with earlier phase-based approaches and discuss experimental configurations—including time-resolved and multi-stage Stern–Gerlach measurements—that could in principle probe the proposed internal-phase dynamics at the pre-registration level. Full article
(This article belongs to the Section Foundations and Interpretations of Quantum Mechanics)
Show Figures

Figure 1

14 pages, 250 KB  
Article
Obsessive–Compulsive Disorder (OCD) and Autism Spectrum Disorder (ASD): Clinical Fingerprints of the Comorbidity
by Luca Pellegrini, Gabriele Di Salvo, Gianluca Rosso, Giuseppe Maina and Umberto Albert
Life 2026, 16(5), 792; https://doi.org/10.3390/life16050792 - 9 May 2026
Viewed by 622
Abstract
Background: Obsessive–compulsive disorder (OCD) frequently co-occurs with autism spectrum disorder (ASD), but the prevalence and clinical correlates of this comorbidity remain incompletely understood. Methods: We examined a clinical sample of 603 patients with a primary diagnosis of OCD, of whom 149 (24.7%) presented [...] Read more.
Background: Obsessive–compulsive disorder (OCD) frequently co-occurs with autism spectrum disorder (ASD), but the prevalence and clinical correlates of this comorbidity remain incompletely understood. Methods: We examined a clinical sample of 603 patients with a primary diagnosis of OCD, of whom 149 (24.7%) presented with comorbid ASD. Sociodemographic variables, clinical characteristics, comorbidities, and obsessive–compulsive symptom dimensions were compared between patients with and without ASD. Results: Patients with OCD + ASD reported an earlier onset of both obsessive–compulsive symptoms and full-blown disorder. While overall symptom severity (Y-BOCS, HAM-D, and HAM-A) was comparable, OCD + ASD patients were characterized by a higher exposure to stressful and traumatic life events, including severe trauma (e.g., death of a close family member, sexual abuse, physical violence, serious illness, and bullying). Severe traumatic events, in particular, were independently associated with ASD comorbidity in our OCD cohort (exploratory model). Comorbidities were also distinct: onychophagia (66.4% vs. 0.4%) and trichotillomania (8.7% vs. 0%) were markedly more prevalent in the OCD + ASD group. Phenomenologically, OCD + ASD patients more often exhibited religious and somatic obsessions, as well as repetition compulsions. Specifically, somatic obsessions were independently associated with ASD in our regression analysis. Conclusions: OCD with comorbid ASD represents a clinically distinct subgroup, characterized by greater vulnerability to trauma, earlier onset, unique symptom profiles, and specific comorbidities. Recognition of these features, and in particular a history of severe traumatic experiences and the presence of somatic obsessions, may support earlier consideration of ASD comorbidity during OCD assessment and may inform personalized treatment planning. Full article
22 pages, 17181 KB  
Article
Research and Simulation Analysis of Life Prediction in Notched Structures of DZ411 Alloy
by Yihui Liu, Wenhao Wang, Xianghua Jiang, Dasheng Wei and Yanrong Wang
Materials 2026, 19(10), 1938; https://doi.org/10.3390/ma19101938 - 8 May 2026
Viewed by 301
Abstract
In order to investigate the influence of notched structures on creep performance under long-term high-temperature conditions, durability tests were conducted on ring-notched and hole-containing thin tubular specimens of directional columnar-grain DZ411 alloy at 850 °C and 930 °C. The results were compared with [...] Read more.
In order to investigate the influence of notched structures on creep performance under long-term high-temperature conditions, durability tests were conducted on ring-notched and hole-containing thin tubular specimens of directional columnar-grain DZ411 alloy at 850 °C and 930 °C. The results were compared with those of smooth round rod specimens at same temperatures and stress levels, to evaluate the impact of notched structures described above on the rupture life. Based on the experimental data, a finite element subroutine was developed using a macroscopic phenomenological creep model to simulate the creep deformation behavior of the structural components. The stress relaxation characteristics of the two types of notched structures were analyzed. The results show that the ring-notched structure exhibits significant stress relaxation, leading to a “notch strengthening” effect, which improves the endurance property; conversely, the small-hole structure shows insufficient stress relaxation, resulting in “notch weakening” and a reduction in the endurance property. The developed subroutine demonstrates sufficient engineering accuracy in notch creep simulation. Using creep strain as the fracture criterion, the predicted endurance life showed a deviation from experimental results within the acceptable engineering range, indicating that the subroutine has sufficient engineering accuracy. Full article
(This article belongs to the Special Issue New Advances in High-Temperature Structural Materials)
Show Figures

Graphical abstract

21 pages, 308 KB  
Review
Schizophrenic Consciousness in the Light of the Phenomenological Epoché: A Foundational Map for Psychiatry
by Giovanni Stanghellini
Brain Sci. 2026, 16(5), 498; https://doi.org/10.3390/brainsci16050498 - 1 May 2026
Viewed by 1337
Abstract
This review explores the hypothesis that schizophrenic symptoms may be understood not as isolated deficits, but as interconnected manifestations of a structural reorganization of consciousness. The premises of this work are grounded in a comparative matrix that suggests an underlying “consanguinity” between the [...] Read more.
This review explores the hypothesis that schizophrenic symptoms may be understood not as isolated deficits, but as interconnected manifestations of a structural reorganization of consciousness. The premises of this work are grounded in a comparative matrix that suggests an underlying “consanguinity” between the philosopher’s voluntary epoché—the suspension of the natural attitude performed to study the inner workings of consciousness—and the involuntary “unworlding” passively experienced in schizophrenia. By exploring this shared ontological ground, the text suggests how specific phenomenological shifts, such as the collapse of the “vital drive,” may manifest as clinical markers; this process may eventually lead to an involuntary “transcendental reduction” where the mind’s internal machinery becomes an object of forced awareness. Building on these premises, the review tentatively outlines several key achievements. It addresses the substrate-subjectivity gap by linking biological sensory-binding failures to the onset of involuntary hyper-reflexivity. Regarding structural loss and gain of function, it suggests that the psychotic transition involves a simultaneous erosion of common-sense coherence and an intensified receptivity to unfiltered perceptual fragments, which may trigger a search for metaphysical meanings. In terms of a therapeutic synthesis, it proposes exploring the conversion of “artless decentering” into a manageable, strategic distance through mindfulness and person-centered position-taking. Finally, it discusses a potential nosographic evolution, advocating for future diagnostic classifications that prioritize the experiencing self and qualitative insights to support a more translational and empathetic approach to psychiatry. Full article
(This article belongs to the Section Neuropsychiatry)
12 pages, 911 KB  
Article
A Stress-Adaptive Variable-Order Fractional Model for Motivational Dynamics with Memory Effects
by Maryam M. Alkandari and Mashael Alanezi
Fractal Fract. 2026, 10(5), 309; https://doi.org/10.3390/fractalfract10050309 - 1 May 2026
Viewed by 479
Abstract
Human motivation is governed by a long-memory cognitive process in which the depth of temporal integration—how far into the past the system draws upon accumulated experience—is not fixed, but dynamically compressed under cognitive stress. Despite extensive empirical evidence that acute stress impairs working [...] Read more.
Human motivation is governed by a long-memory cognitive process in which the depth of temporal integration—how far into the past the system draws upon accumulated experience—is not fixed, but dynamically compressed under cognitive stress. Despite extensive empirical evidence that acute stress impairs working memory and narrows temporal integration in decision-making, no existing mathematical framework has formally coupled the memory depth of the governing operator to a physiologically grounded stress indicator. To address this gap, we propose a stress-adaptive variable-order fractional model for motivational intensity M(t), in which the Caputo fractional order α(t) varies inversely with an aggregated stress indicator σ(t) through the Hill-type coupling α(t)=αmin+(αmaxαmin)C/(C+σ(t)), thereby encoding the empirically documented shift from deep integrative to shallow heuristic processing as cognitive load increases. Rather than deriving the model by algebraic manipulation of a differential equation, we formulate it directly as a causally consistent type-III Volterra integral equation, in which the memory kernel is evaluated at the history time s, ensuring that the weight assigned to each past state reflects the memory depth that was physiologically active when that state was experienced. Well-posedness is established rigorously via the Banach fixed-point theorem with explicit contraction constants, uniform boundedness and non-negativity of solutions are derived through the fractional Gronwall inequality, and numerical solutions are computed using an Adams–Bashforth–Moulton predictor–corrector scheme adapted to the variable-order kernel. Five numerical experiments demonstrate that stress-induced variation in α(t) produces qualitatively richer dynamics compared with the tested constant-order baselines: the proposed model achieves a steeper peak decline rate (0.48 versus 0.19–0.45), a larger burnout gap (3.15 versus 1.92–2.81), and faster recovery to ninety percent of peak motivation (4.2 versus 3.9–7.3 time units), while the empirically observed numerical convergence approaches O(h2) for sufficiently small step sizes. The framework offers a principled phenomenological substrate for memory-adaptive cognitive modelling, with direct implications for stress-aware intelligent tutoring systems that are capable of inferring α(t) in real time from biometric signals such as heart rate variability or galvanic skin response, and adjusting instructional complexity accordingly. Empirical calibration against learning-analytics and psychophysiological datasets, together with stochastic extensions for probabilistic burnout-risk prediction, are identified as immediate priorities for future research. Full article
(This article belongs to the Section Complexity)
Show Figures

Figure 1

18 pages, 1067 KB  
Article
Decoding Immersive Cinema: An Integrated Analysis of Narrative Framework and Audience NLP Data in Avatar: Fire and Ash
by Rocío Sosa-Fernández, Roi Méndez-Fernández and Ana Lorena Jiménez-Preciado
Arts 2026, 15(5), 91; https://doi.org/10.3390/arts15050091 - 1 May 2026
Viewed by 725
Abstract
This study examines how immersive narrative resources, whether technological–sensory, narrative–structural, or contextual, are deployed in contemporary blockbuster cinema and to what extent audiences recognize and value them in their evaluations. Using Avatar: Fire and Ash as a case study, the research follows a [...] Read more.
This study examines how immersive narrative resources, whether technological–sensory, narrative–structural, or contextual, are deployed in contemporary blockbuster cinema and to what extent audiences recognize and value them in their evaluations. Using Avatar: Fire and Ash as a case study, the research follows a sequential mixed-methods design. In the first phase, a qualitative film analysis identifies eight types of cognitive immersion, drawing on established theoretical frameworks of narrative immersion. The second phase is quantitative and involves the computational analysis of 1133 valid reviews from Internet Movie Database (IMDb) through Natural Language Processing (NLP) techniques, including n-gram frequency analysis, Latent Dirichlet Allocation (LDA) topic modeling with 3 topics after perplexity minimization, and sentiment polarity analysis. The LDA model reveals three discursive clusters, experiential and emotional, technical and comparative, and critical, with the latter concentrated mostly in low-rated reviews. Text sentiment and numeric ratings show a moderate positive correlation (r = 0.53, p < 0.001), pointing to a general but imperfect alignment between the two modes of evaluation. Markers of content fatigue (nothing new, predictable, boring) appear in 25.1% of the reviews, yet a third of those are still rated 8 or higher. When cross-tabulating the immersion categories with audience language, phenomenological and affective dimensions such as Emotional Engagement (59.8%) and Haptic/Sensory Experience (59.1%) emerge as the most frequently discussed, while cinematographic techniques like Bracketing (2.6%) are barely mentioned. Taken together, the findings suggest that the franchise sustains its appeal through a form of embodied sensory engagement that operates largely independent of narrative novelty. Full article
(This article belongs to the Section Film and New Media)
Show Figures

Figure 1

24 pages, 9524 KB  
Article
Simulation of Reflections from the Underlying Surface in an On-Board Radar with SAR
by Vladimir Yu. Volkov and Vadim A. Nenashev
Sensors 2026, 26(9), 2742; https://doi.org/10.3390/s26092742 - 28 Apr 2026
Viewed by 524
Abstract
This study investigates the selection of suitable statistical models for speckle reflections from the underlying surface under low-altitude sensing conditions. A parametric approach to modeling speckle images of terrain fragments typical of synthetic aperture radar (SAR) is presented. We use a phenomenological model [...] Read more.
This study investigates the selection of suitable statistical models for speckle reflections from the underlying surface under low-altitude sensing conditions. A parametric approach to modeling speckle images of terrain fragments typical of synthetic aperture radar (SAR) is presented. We use a phenomenological model of speckle formation during radio wave interference, taking into account the spectrum of fluctuations, the roughness of the reflecting surface, the angle of incidence, and other radar parameters. We investigate the influence of the properties of the reflecting surface and the probing parameters on the nature of speckle images. The values of the sample cumulative coefficients for various multiplicative models of the reflection distribution are obtained. The properties and characteristics of various classes of distributions for describing the intensity and amplitude of speckles are considered: the gamma distribution, the K-distribution, and the classes of non-Gaussian probability densities G and G0. A generalized Gaussian (GG) distribution is used to model the complex components of reflected signals. We compare the obtained model characteristics with the sample characteristics of real terrain fragments in synthesized speckle images obtained by the on-board radar system. Based on a comparative analysis of cumulants, this paper examines methods for modeling amplitude and intensity speckle images using several classes of backscatter probability densities. Limitations in specific applications have been identified, and a modeling method using quadrature components has been developed in cases of extremely rough reflections. Full article
(This article belongs to the Special Issue SAR Imaging Technologies and Applications)
Show Figures

Figure 1

22 pages, 1411 KB  
Article
Late-Time Cosmic Acceleration from QCD Confinement Dynamics
by Jonathan Rincón Saucedo, Humberto Martínez-Huerta, Adolfo Huet, Alberto Hernández-Almada and Miguel A. García-Aspeitia
Universe 2026, 12(5), 127; https://doi.org/10.3390/universe12050127 - 28 Apr 2026
Viewed by 451
Abstract
We explore a phenomenological extension of the Polyakov–Nambu–Jona-Lasinio (PNJL) model by introducing a curvature-sensitive effective contribution to the Polyakov-loop potential, motivated by the hypothesis that the non-perturbative QCD vacuum in the confined phase may retain a residual sensitivity to cosmic expansion. In a [...] Read more.
We explore a phenomenological extension of the Polyakov–Nambu–Jona-Lasinio (PNJL) model by introducing a curvature-sensitive effective contribution to the Polyakov-loop potential, motivated by the hypothesis that the non-perturbative QCD vacuum in the confined phase may retain a residual sensitivity to cosmic expansion. In a spatially flat FLRW background, this modification reduces to a term proportional to α(H/H0)df(Φ,Φ*), which naturally vanishes in the deconfined regime and behaves as an effective dynamical vacuum component at late times, without invoking a fundamental cosmological constant. The construction provides an effective thermodynamic description of the QCD sector within an adiabatic framework and introduces a minimal phenomenological extension characterized by the exponent d and the amplitude parameter α. We analyze the cosmological implications at the background level and compare the model with low-redshift observations, including cosmic chronometers, Type Ia supernovae, HII galaxies, and quasars. Using Bayesian Monte Carlo techniques, we constrain the model parameters and compare its performance with the ΛCDM. Our results indicate that the modified PNJL cosmology provides a statistically competitive fit to current data while allowing small departures from the ΛCDM within observational uncertainties. We also investigate the impact of the coupling on the QCD phase diagram and the critical end point. The framework offers a tractable effective approach to connect confinement physics with late-time cosmology and suggests directions for further theoretical development in QCD under curved backgrounds. Full article
(This article belongs to the Topic Dark Matter, Dark Energy and Cosmological Anisotropy)
Show Figures

Figure 1

32 pages, 21569 KB  
Article
Fractal Waves and Caustic Signatures in a Superdeterministic Framework: Benchmarking PINNs and PI-GNNs for the Fractional Klein–Gordon Equation
by Luis Rojas and José Garcia
Fractal Fract. 2026, 10(5), 287; https://doi.org/10.3390/fractalfract10050287 - 24 Apr 2026
Cited by 1 | Viewed by 382
Abstract
While superdeterministic and fractal spacetime models offer compelling alternative perspectives on quantum foundations, the simulation and validation of effective wave dynamics in such non-differentiable, deterministic settings remain computationally and theoretically challenging. To address this, a framework built around the Fractional Nonlinear Klein–Gordon Equation [...] Read more.
While superdeterministic and fractal spacetime models offer compelling alternative perspectives on quantum foundations, the simulation and validation of effective wave dynamics in such non-differentiable, deterministic settings remain computationally and theoretically challenging. To address this, a framework built around the Fractional Nonlinear Klein–Gordon Equation (FNKGE), defined through the spectral fractional Laplacian, was developed. This equation was solved and benchmarked through a comparative study between Physics-Informed Neural Networks (PINNs) with Fourier features and Physics-Informed Graph Neural Networks (PI-GNNs). Additionally, detection patterns were simulated via deterministic agents, and theoretical links between fractal geometry, computational irreducibility, and deviations from statistical independence were formalized. Regarding the computational evaluation, superior accuracy was achieved by the PI-GNNs, yielding a mean relative error of 0.5% (ϵ¯=0.005), alongside faster convergence and a more well-conditioned Hessian spectrum compared to PINNs. Crucially, a continuous power-law decay (S(ky)ky1.8) was revealed by the spectral analysis of the simulated detection patterns, confirming the emergence of classical optical caustics rather than discrete quantum-interference peaks. Furthermore, a modified dispersion relation that accurately predicts linear instability regimes was derived, and specific boundary artifacts in non-periodic domains were identified. Taken together, the FNKGE is validated by these results as a viable effective model for fractal wave phenomenology and as a robust benchmark for physics-informed learning architectures. Full article
(This article belongs to the Section Engineering)
Show Figures

Figure 1

16 pages, 1112 KB  
Article
Nuclear Binding Energies from Composite-Knot Ropelength: A Topological Model That Mirrors Quantum-Mechanical Phenomenology
by Thomas Riedel
Particles 2026, 9(2), 43; https://doi.org/10.3390/particles9020043 - 22 Apr 2026
Viewed by 573
Abstract
We report a curious numerical observation: If atomic nuclei are modelled as connect-sums of threefoil knots with alternating chirality, the ropelength of the composite knot—a purely geometric quantity requiring no quantum mechanics—tracks the experimental binding-energy curve from hydrogen to uranium. A two-parameter fit [...] Read more.
We report a curious numerical observation: If atomic nuclei are modelled as connect-sums of threefoil knots with alternating chirality, the ropelength of the composite knot—a purely geometric quantity requiring no quantum mechanics—tracks the experimental binding-energy curve from hydrogen to uranium. A two-parameter fit to 50 nuclei gives R2=0.9998 (coefficient of determination; 1 = perfect fit) and RMS=6.9MeV (root-mean-square deviation between model and experiment), comparable to the five-parameter Bethe–Weizsäcker formula (RMS=8.3MeV) at less than half the parameter count. Out-of-sample predictions for Pu244 and Cf252, not used in the fit, are accurate to 0.4MeV and 8.4MeV, respectively. What makes the observation worth reporting is not the fit itself, but the range of nuclear phenomenology that emerges uninstructed from the topology: saturation, surface energy, isospin pairing, odd-even staggering, and geometric analogues of nuclear isomers all appear as consequences of the connect-sum construction, without additional assumptions. We catalogue these correspondences, assess which are structural and which may be coincidental, and identify concrete numerical tests that would distinguish the two possibilities. Full article
(This article belongs to the Section Nuclear and Hadronic Theory)
Show Figures

Figure 1

33 pages, 4610 KB  
Article
A Robust Numerical Framework for Hollow-Fiber Membrane Module Simulation and Solver Performance Analysis
by Diego Queiroz Faria de Menezes, Marília Caroline Cavalcante de Sá, Nayher Andres Clavijo Vallejo, Thainá Menezes de Melo, Luiz Felipe de Oliveira Campos, Thiago Koichi Anzai and José Carlos Costa da Silva Pinto
Membranes 2026, 16(4), 154; https://doi.org/10.3390/membranes16040154 - 21 Apr 2026
Viewed by 557
Abstract
Robust numerical frameworks are essential for the simulation, design, monitoring, and control of membrane-based separation units, particularly under highly nonlinear and industrially relevant operating conditions. In this context, a comprehensive phenomenological and numerical framework is proposed for the simulation of hollow-fiber membrane modules, [...] Read more.
Robust numerical frameworks are essential for the simulation, design, monitoring, and control of membrane-based separation units, particularly under highly nonlinear and industrially relevant operating conditions. In this context, a comprehensive phenomenological and numerical framework is proposed for the simulation of hollow-fiber membrane modules, incorporating coupled mass, momentum (through pressure drop), and energy transport equations. The governing equations are discretized using a rigorous orthogonal collocation formulation, and the performances of two numerical solution strategies are systematically investigated for the first time to allow the in-line and real-time implementation of the model: a steady-state approach based on the Newton–Raphson method with careful treatment of initial estimates, and a pseudotransient formulation. Particularly, an original and consistent numerical treatment is introduced for the energy balance at boundaries where the permeate flow vanishes, enabling the stable incorporation of thermal effects and Joule–Thomson phenomena. The results clearly show that the steady-state Newton–Raphson approach provides the best overall performance in terms of computational efficiency, numerical robustness, and accuracy when physically consistent initial profiles are employed. In particular, the combination of a linear initial guess and a numerical mesh constituted of four collocation points yielded the most favorable balance between convergence speed, numerical robustness, and accuracy for the base-case sensitivity analysis. For monitoring-oriented applications, the numerical choice should be weighted primarily toward computational performance once physical consistency and convergence criteria are satisfied, rather than toward maximum mesh-refinement accuracy. In this context, small differences in internal-fiber profiles can be compensated through real-time permeance estimation and are negligible when compared with measurement uncertainty in real industrial processes. Under extreme operating conditions involving low concentrations, low flow rates, and highly permeable species, the pseudotransient formulation proved to be a reliable auxiliary strategy, enabling robust convergence when suitable initial guesses were not readily available. The proposed framework is validated against experimental data from the literature and subjected to extensive convergence and sensitivity analyses, providing a reliable basis for simulation and for assessing computational feasibility in in-line and real-time monitoring-oriented applications. A full demonstration of digital-twin integration, online parameter updating, reduced-order coupling, and closed-loop control is beyond the scope of the present study and will be addressed in future work. Full article
Show Figures

Figure 1

Back to TopTop