Aharonov-Bohm electrodynamics in material media: a scalar e.m. field cannot cause dissipation in a mediumIn the extension of Maxwell equations based on the Aharonov-Bohm Lagrangian the e.m. field has an additional degree of freedom, namely a scalar field generated by charge and currents that are not…F. Minotti, G. Modanese·Feb 13, 2023SaveLearn
Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fieldsExceptional points (EPs) are degeneracies of non-Hermitian systems, where both eigenvalues and eigenvectors coalesce. Classical and quantum systems exhibiting high-order EPs have recently been…José D. Huerta-Morales, Mario A. Quiroz-Juárez, Yogesh N. Joglekar et al.·Feb 13, 2023SaveLearn
Comment on the Letter "Geometric Origin of the Tennis Racket Effect'' by P. Mardesic, et al, Phys. Rev. Lett. 125, 064301 (2020)In the recent work [1], authors discussed the relationship between the two of Euler angles assuming that it can be used to describe some effects in the theory of a rigid body. I show that this…Alexei A. Deriglazov·Feb 8, 2023SaveLearn
The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensionsThe rotations of rigid bodies in Euclidean space are characterized by their instantaneous angular velocity and angular momentum. In an arbitrary number of spatial dimensions, these quantities are…Edward Parker·Feb 5, 2023SaveLearn
Bandgap fluctuations and robustness in two-dimensional hyperuniform dielectric materialsWe numerically study the statistical fluctuations of photonic band gaps in ensembles of stealthy hyperuniform disordered patterns. We find that at low stealthiness, where correlations are weak, band…Luis S. Froufe-Pérez, Geoffroy Aubry, Frank Scheffold et al.·Feb 3, 2023SaveLearn
The Classical Aharonov-Bohm Interaction as a Relativity ParadoxThe situation of a charged particle passing down the symmetry axis through a magnetic toroid presents a relativity paradox; different inertial frames suggest different forces on the charge and on the…Timothy H. Boyer·Feb 3, 2023SaveLearn
Classical Electromagnetic Interaction of a Charge with a Solenoid or ToroidThe Aharonov-Bohm phase shift in a particle interference pattern when electrons pass a long solenoid is identical in form with the optical interference pattern shift when a piece of retarding glass…Timothy H. Boyer·Feb 3, 2023SaveLearn
Non-holonomic constraints: Considerations on the least action principle also from a thermodynamic viewpointThe principle of least action seems not to lead to equations describing the motion consistent with the physical behaviour, for non-holonomic constraints. Here, a response is proposed for this…Umberto Lucia, Giulia Grisolia·Feb 2, 2023SaveLearn
Improved numerical plotting of elliptical orbits using radial action coordinates -- has the symmetry of Leibniz radial theory based on inertia versus gravity been ignored?We that show two body gravitational orbits may be plotted using a radial reference frame rather than the customary Newtonian rectilinear inertial frame. Infinitesimal calculus cofounder and…Ivan R. Kennedy, Michael T. Rose, Angus N. Crossan·Feb 2, 2023SaveLearn
Exceptional points in cylindrical elastic media with radiation lossExceptional points (EPs) are singular points on a parameter space at which some eigenvalues (scattering poles) and their corresponding eigenmodes coalesce. This study shows the existence of second-…Kei Matsushima, Yuki Noguchi, Takayuki Yamada·Feb 1, 2023SaveLearn
Signatures of physical constraints in rotating rigid bodiesWe study signatures of physical constraints on free rotations of rigid bodies. We show analytically that the physical or non-physical nature of the moments of inertia of a system can be detected by…G. J. Gutierrez Guillen, E. Aldo Arroyo, P. Mardesic et al.·Feb 1, 2023SaveLearn
Factorization of the Lorentz transformationsThe article shows how the factorization of an arbitrary Lorentz transformation is performed. That is, representation of an arbitrary Lorentz transformation as a sequence of spatial rotation and boost…Konstantin Karplyuk, Myroslav Kozak, Oleksandr Zhmudskyy·Jan 30, 2023SaveLearn
Elastostatics with multi-layer metamaterial structures and an algebraic framework for polariton resonancesMulti-layer structures are ubiquitous in constructing metamaterial devices to realise various frontier applications including super-resolution imaging and invisibility cloaking. In this paper, we…Youjun Deng, Lingzheng Kong, Hongyu Liu et al.·Jan 27, 2023SaveLearn
Density of photonic states in aperiodic structuresPeriodicity is usually assumed to be the necessary and sufficient condition for the formation of band gaps, i.e., energy bands with a suppressed density of states. Here, we check this premise by…Vladislav A. Chistyakov, Mikhail S. Sidorenko, Andrey D. Sayanskiy et al.·Jan 27, 2023SaveLearn
A new method to identify elastic wave propagation mode and polarized bandgaps in periodic solid mediaWe present a new computational method for the accurate identification of the propagation modes and polarizations of elastic waves propagating in periodic solid structures and metamaterials. The…Maria Jose Carrillo Munoz, Bhisham Sharma·Jan 26, 2023SaveLearn
Bifurcation and stability of uniformly rotating homogeneous ellipsoids surrounded by a massive thin ringWe examine the effects of a massive concentric ring around a spheroid or an ellipsoid with uniform density and uniform rotation. Equilibrium sequences of axisymmetric Maclaurin-like spheroid and…Shin'ichirou Yoshida·Jan 24, 2023SaveLearn
Intrinsic variational structure of higher-derivative formulations of classical mechanicsThis paper investigates the geometric structure of higher-derivative formulations of classical mechanics. It is shown that every even-order formulation of classical mechanics higher than the second…John W. Sanders·Jan 22, 2023SaveLearn
Lagrangian and Hamiltonian formulations of asymmetric rigid body, considered as a constrained systemThis work is devoted to a systematic exposition of the dynamics of a rigid body, considered as a system with kinematic constraints. Having accepted the variational problem in accordance with this, we…Alexei A. Deriglazov·Jan 21, 2023SaveLearn
Reformulation of Special Relativity and Electromagnetism in terms of Reference Frames defined as maps from spacetime onto affine spacesA reference frame on a set M is given by a 3-dimensional euclidean space E, a function from M to E, a 1-dimensional affine space A and a function from M to A. The definition allows an…Filippo Saatkamp·Jan 21, 2023SaveLearn
Damped harmonic oscillator revisited: the fastest route to equilibriumTheoretically, solutions of the damped harmonic oscillator asymptotically approach equilibrium, i.e., the zero energy state, without ever reaching it exactly, and the critically damped solution…Karlo Lelas, Nikola Poljak, Dario Jukić·Jan 19, 2023SaveLearn
The electromagnetic self-force of a Lorentz-contractible spherical shell of radius R in rectilinear arbitrary motion: the terms of order 1/R and R0We write the electromagnetic self-force of a Lorentz-contractible spherical shell of radius R in arbitrary rectilinear motion as a series expansion in powers of R, and calculate the first two…G. Vaman·Jan 18, 2023SaveLearn
Thermodynamical versus logical irreversibility: a concrete objection to Landauer's principleLandauer's principle states that the logical irreversibility of an operation, such as erasing one bit, whatever its physical implementation, necessarily implies its thermodynamical…D. Lairez·Jan 17, 2023SaveLearn
Measurements and linearized models for golf ball bounceA detailed set of experiments are described that capture over a 1000 different instances of the bounce of a golf ball. Video analysis is used to capture velocity and spin immediately prior to and…Stanisław W. Biber, Kristian M. Jones, Alan R. Champneys et al.·Jan 13, 2023SaveLearn
Fusion of two stable elastic structures resulting in an unstable systemIt is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed.…Marco Rossi, Andrea Piccolroaz, Davide Bigoni·Jan 12, 2023SaveLearn
The suppression of Finite Size Effect within a Few LatticesBoundary modes localized on the boundaries of a finite-size lattice experience a finite size effect (FSE) that could result in unwanted couplings, crosstalks and formation of gaps even in topological…Tao Liu, Kai Bai, Yicheng Zhang et al.·Jan 6, 2023SaveLearn