Results 51 to 60 of about 296 (136)

A shorter path to celestial currents

open access: yesJournal of High Energy Physics, 2023
Here we consider what happens when we lift a codimension-1 slice of the celestial sphere to a codimension-1 slice of the bulk spacetime in a manner that respects our ability to quotient by the null generators of I ± to get to our codimension-2 hologram ...
Sabrina Pasterski
doaj   +1 more source

The geometry and arithmetic of bielliptic Picard curves

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley   +1 more source

An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation

open access: yesOpen Physics, 2020
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent   +1 more
doaj   +1 more source

Galileo's ship and the relativity principle

open access: yesNoûs, Volume 59, Issue 3, Page 585-611, September 2025.
Abstract It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not ...
Sebastián Murgueitio Ramírez
wiley   +1 more source

Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods

open access: yesStudies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
wiley   +1 more source

A finite‐dimensional counterexample for Arveson's hyperrigidity conjecture

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2731-2737, September 2025.
Abstract We construct an operator system generated by four operators that is not hyperrigid, although all restrictions of irreducible representations have the unique extension property.
Marcel Scherer
wiley   +1 more source

Non-local conserved currents and continuous non-invertible symmetries

open access: yesJournal of High Energy Physics
We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether’s theorem, where continuous non-invertible symmetries are associated to non-local conserved currents: point-like ...
Diego Delmastro   +2 more
doaj   +1 more source

A Switchable and Rotatable Chiral Nematic Liquid Crystal Diffraction Grating for Beam‐Steering Technology

open access: yesAdvanced Optical Materials, Volume 13, Issue 21, July 25, 2025.
A switchable and rotatable chiral nematic liquid crystal diffraction grating is demonstrated, driven by low voltages at room temperature. Incorporation of the dimer CB7CB induces an asymmetric tilt via the flexoelectro‐optic effect, generating torque that enables uniform 360° in‐plane rotation of both the grating and its far‐field diffraction pattern ...
Qihao Han   +4 more
wiley   +1 more source

Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System

open access: yesFractal and Fractional
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
doaj   +1 more source

On the conservation of energy: Noether's theorem revisited

open access: yesHeliyon
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems.
Jean-Paul Chavas
doaj   +1 more source

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