This study investigates the structural, optical, and magnetic properties of Ni²⁺-doped TiO₂ nanostructures (1.0–10.0 wt%) synthesized via an acidic sol–gel route. Dopant-induced lattice modifications are primarily expressed through microstructural strain, lattice parameter distortion, and phonon softening rather than macroscopic lattice defects visible by TEM. X-ray diffraction and Rietveld refinement reveal systematic shifts of the anatase (101) peak, lattice contraction, and increasing compressive strain with Ni incorporation, as confirmed by Williamson–Hall analysis. Raman and electron paramagnetic resonance (EPR) spectra indicate oxygen vacancy formation and localized electronic states. Optical absorption and Tauc analysis show progressive bandgap narrowing, while crystal field theory (CFT) confirms Ni²⁺ ions occupying both octahedral and tetrahedral coordination environments. EPR signals further evidence Ni²⁺ magnetic centers and Ti³ ⁺/oxygen vacancy-related species. These results demonstrate that defect-mediated lattice distortion governs the optoelectronic and magnetic tuning of Ni-doped TiO₂, offering insights for advanced photocatalytic and spintronic material design.

We investigate the interplay between the weak gravity conjecture (WGC) and weak cosmic censorship conjecture (WCCC) for Reissner-Nordström anti-de Sitter (RN-AdS) black holes surrounded by perfect fluid dark matter (PFDM) within restricted phase space thermodynamics (RPST) and conformal field theory (CFT) thermodynamics frameworks. The WGC ensures that gravity must be the weakest force in any consistent quantum gravity theory, while the WCCC asserts that singularities from gravitational collapse must be hidden behind event horizons. We derive complete thermodynamic descriptions including mass, temperature, entropy, and free energy in both formalisms, accounting for PFDM parameterized by γ . Our analysis reveals characteristic swallowtail patterns in free energy curves, indicating van der Waals-like first-order phase transitions under specific parameter conditions. We demonstrate that the PFDM parameter γ and AdS radius ℓ play crucial roles in satisfying both conjectures. Significantly, we find that the compatibility range for WGC in CFT thermodynamics ( 3 ℓ < γ < 10 ℓ ) is substantially wider than in RPST ( 2 / 3 ℓ < γ < 5 ℓ ). This result suggests that the holographic dictionary acts as a natural filter for Swampland constraints, rendering the boundary CFT description more fundamental for consistency checks than the bulk thermodynamic variables. At critical points of black hole parameters, we verify simultaneous satisfaction of WGC and WCCC, demonstrating robustness within the critical framework. Our results provide compelling evidence that the holographic boundary description naturally encodes quantum gravity consistency conditions more efficiently than bulk thermodynamic formalisms, with perfect fluid dark matter serving as a crucial mediator enabling the reconciliation of these fundamental principles.

Field-theoretical analysis of AI-enabled social support and teacher professional identity in preschool teacher education.

The integration of molecular spin qubits in the next generation of quantum devices requires magnetic centers that can be individually addressed while remaining decoupled from the substrate. Envisioning this future perspective here, we introduce a heterobimetallic molecular design strategy that integrates a paramagnetic vanadyl spin center with a built-in inorganic decoupling unit within a single coordination complex, overcoming conventional approaches that rely on inorganic buffer layers such as MgO and thereby limit versatility and scalability. The lantern complex [PtVO(SOCPh)4] (PtVO) embeds a VO2+ qubit spatially shielded by a square-planar PtS4 moiety eliminating the need for external decoupling layers. A submonolayer of PtVO was successfully deposited on a highly oriented pyrolytic graphite substrate via electrospray deposition, yielding a chemically intact and well-defined molecular interface. Combining element and polarization-resolved synchrotron spectroscopies, supported by density functional theory calculations, demonstrates that the vanadyl center remains magnetically isolated at the submonolayer limit. Polarization- and angular-dependent X-ray absorption spectroscopy, flanked by multiplet ligand field theory simulations, provided detailed insight into the adsorption geometry and the electronic structure of PtVO upon deposition. Angular-dependent X-ray magnetic circular dichroism further reveals how the molecular coordination geometry governs the orbital contributions and magnetic anisotropy of square-pyramidal vanadyl systems. These results establish a built-in molecular decoupling system as a viable chemical principle for the scalable integration of addressable molecular spin qubits on low-dimensional materials, paving the way to new routes toward surface-based quantum architectures.

Human–AI partner teams are positioned to transform mathematical creativity, shifting discovery from incremental, bot-tom-up reasoning to a broader mode of inquiry that spans the full landscape of mathematics and science. This paper examines that transition by advancing Galois Smartnetwork Field Theory (Galois SNFT) as a framework for co-evolutionary human–machine reasoning—one that integrates mathematics, computation, and physics through the organizing power of higher structures mathematics, especially symmetry. To accelerate the inclusion of mathematical research into the computational infrastructure, Galois SNFT extends Neural Network Field Theory (NNFT) approaches by adding mathematics as a cornerstone to physics and computation. Digging deep into Modern Symmetry Theory’s convergence toward a Grand Unified Symmetry (GUS) framework with frontier mathematics from Clausen, Scholze, Lurie, Bhatt, Pridham, Barwick, and Haine, Galois SNFT deploys three symmetry properties (phase stability, glocal propagation, and symmetry constraint) to analyze the Millennium Prize Problems (MPP). The MPP can be partitioned into Langlands, physics, and orthogonal arms. Within this landscape, the Riemann Hypothesis (regarding the distribution of prime numbers along a critical line) is particularly suited to a symmetry-based analysis via phase stability, making it a compel-ling test case for co-evolutionary human–AI mathematical discovery.

Strong-coupling series for PT-symmetric quantum field theory

ABSTRACT The hyperlink experience is constituted by the immediate immersion in mutual engagement on the shared screen of videos, music, internet searches, pictures, and the private worlds into which we are invited when working via zoom. This unique, immersive experience renders unconscious communication more visible and emotional connection closer. The hyperlink experience in teletherapy bridges the gap caused by the absence of bodies sharing sensoriality and physical space. Considered as amplifying intimacy and symbolizing possibilities, it can be particularly advantageous in working with erotic transferences and countertransferences as they are conceptualized in field theory, that is, as a field phenomenon of love. In the hyperlink experience, the erotic field brings intimate immediacy to the foreground while preserving distance through the screen. The hyperlink experience offers an opening for the ongoing balancing of optimal distance in emotional connection for the analytic couple.

ABSTRACT This paper explores the psychoanalytic session as a shared dream, emphasizing the interplay between interpretation and conversation. Grounded in field theory, it argues that all clinical material – whether dreams or everyday narratives – can be understood as expressions of an unconscious co-created by analyst and patient. While the analyst adopts a dreamlike internal stance, they remain attuned to the patient’s realism, narrative, and history. The conversation evolves as a mutual search for recognition, where symbolic meaning emerges through emotional attunement, not abstract metapsychology. The session becomes a theater of transformation, where storytelling and witnessing foster subjectivity and relational intimacy.

ABSTRACT This article charts a psychoanalytic-literary itinerary that clarifies Bion’s theory of dreaming by harnessing the evocative power of fiction. The reader is guided through three emblematic texts, each embodying a different modality of oneiric experience. Juan Rulfo’s Luvina represents absolute wakefulness: a concrete state in which β-elements remain undigested and meaning erodes. The prison cell in Nabokov’s Invitation to a Beheading illustrates absolute dream, where an unbridled α-function spawns an excess of symbols and dissolves psychic boundaries until waking intervenes. The shoreline of Virginia Woolf’s The Waves exemplifies the dialectical dream: an intersubjective flow in which consciousness and the unconscious co-construct experience – the ideal described by Bionian Field Theory. By juxtaposing these landscapes, the study offers a heuristic for identifying concrete, excessive, and balanced dreams in clinical practice, showing how literature illuminates a mind that dreams itself into being.

Abstract We develop a quantum field theory based on random nonHermitian actions, which upon quantization lead to stochastic nonlinear Schr\"{o}dinger dynamics for the state vector. In this framework, Lorentz and spacetime translation symmetries are preserved only in a statistical sense: the probability distribution of the action remains invariant under these transformations. As a result, the theory describes ensembles of quantum-state trajectories whose probability distributions remain invariant under changes of reference frame. As a concrete example, we augment the Dirac action with a purely imaginary term coupling the fermion density operator to a universal colored noise. This noise is constructed by solving the d'Alembert equation with white noise as its source, using a generalized stochastic calculus in 1+3 dimensions. We demonstrate that the colored noise drives stochastic localization of wave packets and derive the localization length analytically. Remarkably, the localization length decreases as the size of the observable universe increases. Our model thus provides a potential framework for relativistic spontaneous wave-function collapse. While establishing consistency with Born's law remains an open challenge, the present work constitutes a step toward embedding collapse models into a Lorentz-invariant quantum field theory.

This study introduces Kolmogorov-Arnold Networks (KANs) as an innovative framework for variational Monte Carlo (VMC) calculations of the deuteron ground state, serving as a proof of concept toward computationally demanding larger nuclear systems, using a leading-order Chiral Effective Field Theory (EFT) potential. KANs leverage trainable spline activations to provide superior flexibility in approximating short-range cusps and enhanced smoothness in high-order derivatives, directly addressing key challenges in quantum wave function representation. We employ VMC with the Adam optimizer to sample the KAN-parameterized wave function and compute energy and spatial observables. The optimized results yield a binding energy of [Formula: see text]MeV, a mean radius of [Formula: see text]fm, and a root-mean-square radius of [Formula: see text]fm, showing excellent agreement with reference Hulthen and GFMC calculations (relative energy deviation < 0.2%). Crucially, a direct performance comparison reveals that the KAN-based model converges ~ 10x faster in wall-clock time and captures the short-range cusp behavior more accurately and stably than a comparable multilayer perceptron (MLP), eliminating the need for ad hoc cusp-correction terms. These results confirm KAN's capability to accurately model the non-trivial short-range dynamics of nuclear interactions. As a proof of concept for systems where computational cost becomes a genuine bottleneck, this work establishes KAN-VMC as a highly promising, scalable approach for future ab initio studies of larger nuclear systems, such as 4He, and for extensions to higher chiral orders (NLO/NNLO).

We review several Grassmann techniques applied to&#xD;the transport of itinerant and spinless fermions moving as defects in dilute two-dimensional magnetic media, where they occupy site vacancies. &#xD;Grassmann non-commuting variables are intrinsically related to classical spins, fermions, and field theories. Exact results are provided when a correspondence is made between partition functions of solvable problems and Grassmann integrals which can be expressed as determinants or Pfaffians. These techniques can be applied to both classical models of spins and fermionic problems. In this manuscript, we consider as an example the problem of fermions interacting indirectly via local classical spins in a magnetic medium, and we address the computation of thermal quantities from the Grassmann algebraic tools. The presence of strong non-local interactions between the fluctuations of the magnetic medium and the itinerant fermions can be analyzed via coupled self-consistent mean-field equations, after expressing the spins and fermion Hamiltonian in term of a Grassmannian effective action. We also apply these methods to the electronic transport at finite temperature, and show that Grassmann and Matsubara formalisms are an alternative solution to compute the Kubo conductivities. We also compare the results with the standard technique relying on the spectral decomposition of the Hamiltonian.

A bstract Open effective field theories provide a systematic framework for describing systems coupled to an environment, where dissipation, noise, and modified conservation laws naturally arise. Working within the Schwinger-Keldysh formalism, we examine open extensions of three well-studied theories: the superfluid, Maxwell theory, and Einstein gravity. In gauge and gravitational theories, open terms that break advanced symmetries while preserving physical ones are not automatically consistent; they are allowed only if they lead to deformed identities among the equations of motion. We explicitly construct such a term in open gravity and show that it leads to a consistent deformation of the diffeomorphism identities.

From Renaissance drapery to tissue morphogenesis, pattern formation exemplifies how geometry and constraints generate complex structures. In soft and architected matter, motifs such as creases, kinks, and domain walls function as order-parameter textures mediating structural transitions. Yet deterministic and reprogrammable control of such patterns remains a central challenge: conventional geometry-based strategies hardwire functionality into structure, leaving deformation modes defect-sensitive and difficult to reconfigure. Here we introduce a pseudo-dynamic mapping that interprets static deformation fields as trajectories of fictitious particles evolving in engineered energy landscapes. This paradigm provides a forward design strategy in which reshaping potential symmetry and bifurcation structure prescribes diverse reprogrammable solitonic domain-wall-lattices in a single, defect-free metamaterial solely under uniform loading. We demonstrate initiation, modulation, inversion, melting, and annihilation of these patterns, governed by a tunable bifurcation landscape. Predictions are validated through simulation and experiment, culminating in a mechanical display that encodes digital information via domain-wall-bits. This approach bridges nonlinear field theory with practical pattern reprogramming, offering a versatile route for programmable design in architected and adaptive materials.

Occupational profile types of Chinese vocational nursing faculty in a neijuan context and their associations with burnout and turnover intention.

Machine Learning and Regional Homogeneity Reveal Early and Subtle Brain Changes in Type 1 Diabetes.

Abstract We develop a method for solving two- and three-body bound state problems using unsupervised machine learning with deep neural networks (DNN). By taking coordinates as direct inputs, the DNN provides a functional-ansatz-free alternative to traditional methods, allowing for a vast exploration of the parametric space. We apply this technique to calculate the properties of the deuteron and triton using a realistic chiral effective field theory ( $$\chi $$ χ EFT) potential at N $$^3$$ 3 LO, explicitly including central, tensor, and spin-orbit forces. Our results demonstrate high precision in binding energies and wave function structures. This approach offers a promising framework for the study of nuclear and hadronic many-body problems.

ABSTRACT This paper presents a novel interpretation of transference love, reframing it from a mere false projection into a genuine, transformative element of therapy. Drawing on field theory, the discussion underscores that forging an authentic affective bond between patient and analyst is the primary goal of treatment. Rather than dismissing transference love as mere resistance , field theory recognizes it as an intersubjective, affective experience that enriches the therapeutic process while preserving the essential boundaries of the analytic setting. The authors further contend that this perspective offers robust conceptual tools to manage situations that remain consistently challenging – especially when tensions escalate to levels that, for Freud, threaten to set the theater of analysis ablaze.

Eleven Co(II) complexes with three perfluorotrityl-derived monodentate alkoxide ligands, termed the "Fox" ligands, were prepared and fully characterized. Complexes of "big Fox," (OC(C6F5)3)1- = (OFoxB)1-, and "medium Fox," (OC(CF3)(C6F5)2)1- = (OFoxM)1-, yielded the same structural motifs: [Co2(μ-OFox)2(OFox)2] (1B, 1M); [Co(THF)2(OFox)2] (2B, 2M); and [Co(OFox)3]1- ([3B]1-, [3M]1-). Complexes of "little Fox," (OCH(C6F5)2)1- = (OFoxL)1- yielded different structural motifs due to less ligand bulk, leading to π-π stacking of -C6F5 rings in the solid state: [Co2(μ-OFoxL)2(OFoxL)2(THF)2] (1L·2 THF), {K(Et2O)}2[Co2(μ-OFoxL)2(OFoxL)4] (K2[4L]), and {K(THF)2}2[Co(OFoxL)4] (K2[5L]). The electronic structures of ∼D3h compounds (1B, 1M, [3B]1-, and [3M]1-) were investigated using DFT and ab initio ligand field theory (AILFT). Cyclic voltammetry demonstrated a quasi-reversible Co(III)/Co(II) redox couple in {K(18c6)}[3M] and the pyridine adduct {K(18c6)}[3M-py]. Bulk oxidation generated Co(III) compounds 3M and 3M-py respectively, in situ, as confirmed by UV-vis spectroelectrochemistry (SEC). Compounds 3M and 3M-py were not isolable. 3M-py is reduced over time into [Co(py)2(OFoxM)2] (6), in addition to other unidentified products. These new Co(II) and Co(III) compounds have increased electrophilicity at Co and decreased HOMO energy compared to hydrogenated analogs, leading to one case of a 500 mV cathodic shift ([3M]1-) in the Co(III)/Co(II) reduction potential versus related fluorinated analogs.

Application of the Transtheoretical Model of Behavior Change Framework to Evaluate Readiness and Barriers to Voice Therapy Among School Teachers.