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"Analysis: Reform-led councils threaten 6GW of solar and battery schemes across England"
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Analysis: Reform-led councils threaten 6GW of solar and battery schemes across England - Carbon Brief
Reform UK’s local-election victories in May 2025 could put 6 gigawatts (GW) of new clean-energy capacity at risk, according to Carbon Brief analysis.

Join Kevin Liang at this year's Berlin Buzzwords, where he will discuss how Apache Solr/Lucene builds dense vector indexes and talk about how he and his team optimised their dense vector setup, sharing the challenges they faced and the best practices they learned along the way.
Learn more: https…

An extension of the SM with vector-like quarks and hypothetical heavy bosons: model independent parametrisation at NLO order
Chahra Rekaik, Mohamed Sadek Zidi
https://arxiv.org/abs/2506.14663

An extension of the SM with vector-like quarks and hypothetical heavy bosons: model independent parametrisation at NLO order
A model independent parameterization of an extension of the Standard Model including vector-like quarks, new heavy gauge bosons and an extra scalar, involving a minimal number of free parameters, is introduced. Theoretical constraints on the model couplings and hypothetical particle masses are established by making use of perturbative unitarity. The production of heavy charged and neutral gauge bosons which subsequently decay to vector-like quarks at the LHC are investigated at both leading-ord…

The Properties of Non-Potential Magnetic Field Parameters in a Super-Active Region with Complex Structures and Strong Solar Flares
Liu Suo, Shahid Idrees, Dian Liu, Shuguan Zeng
https://arxiv.org/abs/2506.13022

The Properties of Non-Potential Magnetic Field Parameters in a Super-Active Region with Complex Structures and Strong Solar Flares
In this study, the non-potential magnetic field parameters of active region NOAA 9077 are investigated; this AR experienced a super-strong X5.7 solar flare. Using advanced extrapolation techniques, the 3D magnetic field structure from vector magnetograms is obtained from the Solar Magnetic Field Telescope (SMFT) at Huairou Solar Observing Station (HSOS). Then various non-potential parameters are calculated, including current density, shear angle, quasi-separatrix layers (QSLs), twist, and field…

EVA-S2PMLP: Secure and Scalable Two-Party MLP via Spatial Transformation
Shizhao Peng, Shoumo Li, Tianle Tao
https://arxiv.org/abs/2506.15102 https://

EVA-S2PMLP: Secure and Scalable Two-Party MLP via Spatial Transformation
Privacy-preserving neural network training in vertically partitioned scenarios is vital for secure collaborative modeling across institutions. This paper presents \textbf{EVA-S2PMLP}, an Efficient, Verifiable, and Accurate Secure Two-Party Multi-Layer Perceptron framework that introduces spatial-scale optimization for enhanced privacy and performance. To enable reliable computation under real-number domain, EVA-S2PMLP proposes a secure transformation pipeline that maps scalar inputs to vector a…

Exact Poincar\'e Constants in three-dimensional Annuli
Bernd Rummler, Michael Ruzicka, Gudrun Th\"ater
https://arxiv.org/abs/2506.13891 https://…

Exact Poincaré Constants in three-dimensional Annuli
We study 3d-annuli. In our non-dimensional setting each annulus $Ω_{\cal A}$ is defined via two concentrical balls with radii ${\cal A}/2$ and ${\cal A}/2 +1$. For these geometries we provide the exact value for the Poincaré constants for scalar functions and calculate precise Poincaré constants for solenoidal vector fields (in both cases with vanishing Dirichlet traces on the boundary). For this we use the first eigenvalues of the scalar Laplacian and the Stokes operator, respectively. Addi…

Scalar Lattices and Probabilistic Shaping for Dithered Wyner-Ziv Quantization
Muhammed Yusuf Sener (Shitz), Gerhard Kramer (Shitz), Shlomo Shamai (Shitz), Wen Xu
https://arxiv.org/abs/2506.13162

Scalar Lattices and Probabilistic Shaping for Dithered Wyner-Ziv Quantization
Scalar lattice quantization with a modulo operator, dithering, and probabilistic shaping is applied to the Wyner-Ziv (WZ) problem with a Gaussian source and mean square error distortion. The method achieves the WZ rate-distortion pairs. The analysis is similar to that for dirty paper coding but requires additional steps to bound the distortion because the modulo shift is correlated with the source noise. The results extend to vector sources by reverse waterfilling on the spectrum of the covaria…

Functional Change Point Detection via Adjacent Deviation Subspace
Luoyao Yu, Long Feng, Xuehu Zhu
https://arxiv.org/abs/2506.15143 https://

Functional Change Point Detection via Adjacent Deviation Subspace
This paper develops the concept of the Adjacent Deviation Subspace (ADS), a novel framework for reducing infinite-dimensional functional data into finite-dimensional vector or scalar representations while preserving critical information of functional change points. To identify this functional subspace, we propose an efficient dimension reduction operator that overcomes the critical limitation of information loss inherent in traditional functional principal component analysis (FPCA). Building up…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
Andrea Erdas
https://arxiv.org/abs/2506.10284 https://…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
In this work I study the finite temperature Casimir effect caused by a complex and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The Lorentz invariance breaking is caused by a constant space-like vector directly coupled to higher order field derivatives. This vector needs to be space-like in order to avoid non-causality problems that will arise with a time-like vector. I investigate the two scenarios of the scalar field satisfying either Dirichlet or mix…

Solitary waves in the complementary generalized ABS model
Avinash Khare, Fred Cooper, John F. Dawson, Avadh Saxena
https://arxiv.org/abs/2506.12631 https:/…

Solitary waves in the complementary generalized ABS model
We obtain exact solutions of the nonlinear Dirac equation in 1+1 dimension of the form $ Ψ(x,t) =Φ(x) \rme^{-\rmi ωt}$ where the nonlinear interactions are a combination of vector-vector and scalar-scalar interactions with the interaction Lagrangian given by $L_I = \frac{g^2}{(κ+1)}[\barψ γ_μψ\barψ γ^μ ψ]^{(κ+1)/2} - \frac{g^2}{q(κ+1)}(\barψ ψ)^{κ+1}$, where $κ>0$ and $q>1$. This is the complement of the generalization of the ABS model \cite{abs} that we recently studied \cite…