The equivalence principle is NOT a Noether symmetry by Andronikos Paliathanasis

“…However, it is known that the Noether symmetry condition is independent of the equations of motions as follows from Hamilton’s principle. …”
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Derivation of the GKP-Witten relation by symmetry without Lagrangian by Sinya Aoki, Janos Balog, Kengo Shimada

“…We derive the GKP-Witten relation in terms of correlation functions by symmetry without referring to a Lagrangian or the large N expansion. …”
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A Perturbation and Symmetry-Based Analysis of Mobile Malware Dynamics in Smartphone Networks by Mohammad Ababneh, Yousef AbuHour, Ammar Elhassan

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Controllability analysis of mechanical multibody dynamics control systems based on lie symmetry by Zheng Mingliang

“…Firstly, under the affine connection framework of Lagrange mechanical control systems, we establish the Euler-Poincaré equations of unconstrained mechanical multibody dynamics control systems by differential geometry method; Further, we transform the Euler-Poincaré equations into the classical state space form of nonlinear control systems by augmented vector method; Secondly, by introducing Lie group representation theory, the definition and the solution of generalized Lie symmetry for mechanical multibody dynamics control systems are given, and the necessary and sufficient conditions for state controllability (local controllability) are given by using Lie symmetry; Finally, an application example of dynamic control of a single degree of freedom manipulator with basic vibration is provided, it explains the effectiveness and correctness of the Lie symmetry method in this paper. …”
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Carrollian partition function for bulk Yang-Mills theory by Per Kraus, Richard M. Myers

“…We develop this framework for non-Abelian gauge theory, both from a general perspective and through explicit examples that highlight subtle aspects of soft modes and asymptotic symmetries. These include falloff conditions, Goldstone modes and their antipodal matching, and factors of two associated with conditionally convergent integrals arising in the derivation of soft theorems. …”
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Soft hair on Schwarzschild: a wrinkle in Birkhoff ’s theorem by Chethan Krishnan, Jude Pereira

“…One remarkable feature of SDN gauge is that spherical symmetry and vacuum Einstein equations allow an infinite number of asymptotic integration constants in the metric, on top of the mass. …”
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(Quadratically) Refined discrete anomaly cancellation by Markus Dierigl, Michelangelo Tartaglia

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Extranodal NK/T-cell lymphoma of nasal type with midline symmetry oral ulcer as the main symptom: A case report and literature review by YU Donglin, CAO Zhang, WANG Wenlong, MA Xiangrui, TANG Juan, ZUO Jinhua

“…[Methods:] A case of palatal mucosa with a midline symmetry ulcer was followed up and ENKTL-NT was discussed, and analyzed in combination with literature. …”
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On a lower-dimensional Killing vector origin of irreducible Killing tensors by Finnian Gray, Gloria Odak, Pavel Krtouš, David Kubizňák

“…Abstract Considering a spacetime foliated by co-dimension-2 hypersurfaces, we find the conditions under which lower-dimensional symmetries of a base space can be lifted up to irreducible Killing tensors of the full spacetime. …”
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What can solve the strong CP problem? by David E. Kaplan, Tom Melia, Surjeet Rajendran

“…The second is the imposition of new symmetries that are believed to set θ ¯ $$ \overline{\theta} $$ to zero in the UV. …”
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Exploring confinement in Anti-de Sitter space by Riccardo Ciccone, Fabiana De Cesare, Lorenzo Di Pietro, Marco Serone

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Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion by Oleksandr Diatlyk, Zimo Sun, Yifan Wang

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Generalised second law beyond the semiclassical regime by Josh Kirklin

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The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions by F.M. Kadyrov, A.V. Kosterin

“…The problem of filtration consolidation for an infinite porous tube with circular symmetry is solved taking into account the found initial conditions: a solution for the pressure is described by the diffusion equation. …”
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Discrete Max-Focusing by Raphael Bousso, Elisa Tabor

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Models with rank-reducing discrete boundary conditions on T 2/ℤ 4 by Yoshiharu Kawamura, Eiji Kodaira, Kentaro Kojima, Toshifumi Yamashita

“…Abstract We study six-dimensional SU(n) gauge models with rank-reducing discrete boundary conditions on the orbifold T 2/ℤ 4, without and with continuous Wilson line phases. …”
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Impact of Energy Dissipation in the Launcher-Armoured Vehicle Assembly on the Conditions of Launching Unguided Missiles by Zbigniew DZIOPA, Maciej NYCKOWSKI

“…The appearance of adverse conditions for the missile launch results from the dynamics of the system. …”
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Representation theory of solitons by Clay Córdova, Nicholas Holfester, Kantaro Ohmori

“…This representation theory is based on an algebra we refer to as the strip algebra, Str C M $$ {\textbf{Str}}_{\mathcal{C}}\left(\mathcal{M}\right) $$ , which is defined in terms of the non-invertible symmetry, C $$ \mathcal{C} $$ , a fusion category, and its action on boundary conditions encoded by a module category, M $$ \mathcal{M} $$ . …”
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An analysis of contact time of children’s walking gait with progressive backpack weight and selected duration conditions by Rawat Sukanya, Husain Rabiya, Shaw Dhananjoy

“…Additionally, it assessed the symmetry between left and right foot contact times under varying conditions.…”
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Root- T T ¯ $$ T\overline{T} $$ deformations on causal self-dual electrodynamic theories by H. Babaei-Aghbolagh, Komeil Babaei Velni, Song He, Zahra Pezhman

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