Symmetry Promotion in ElectromagnetismA symmetric distribution of charges or currents typically produces an electromagnetic field having the same symmetry group. However, under special circumstances we show that a discrete symmetry of…Hunter Swan, Jason M. Hogan·Sep 3, 2026SaveLearn
Compensated Free and Bound Sources and Nonradiating Conditions in Classical ElectrodynamicsClassical macroscopic electrodynamics allows free and bound sources to cancel as distributions while the auxiliary equations retain nonzero free-source terms. A neutralized uniformly polarized sphere…Natan Rentzber·Sep 2, 2026SaveLearn
Lissajous-type orbits on a sphere and their non-Riemannian geometryA charged test particle is confined to the round sphere in a uniform ambient magnetic field. We reduce its motion to quadrature by elementary means and solve explicitly the family of trajectories…César Simón López-Monsalvo, Sergio Islas-Ramírez, Alberto Rubio Ponce·Sep 1, 2026SaveLearn
Some explorations of Kirchhoff dynamicsThe classical problem of a rigid body in an ideal fluid is a six-dimensional dynamical system with three conserved quantities. Despite its long history and its importance as a reduced model of many…O. W. Oguns, J. A. Hanna·Sep 1, 2026SaveLearn
The Schwitters Memorial Problem: A Car Speeds Across a Triangular BumpMost drivers slow down for speed bumps, sometimes to almost a stop, as if each speed bump were a stop or yield sign. The late Roy Schwitters and I shared the view (here called the Schwitters…William H. Press·Aug 29, 2026SaveLearn
Free Precession Revisited: A Vector-Only Analysis of Gyroscopic Dynamic EquilibriumThis paper presents a self-contained, vector-only formulation of gyroscope precession about a fixed pivot -- gravity-driven, not the torque-free Euler-Poinsot case. The derivation of its governing…Dan I. Hariton·Aug 29, 2026SaveLearn
Casimir-electrostatic pull-in in nanoelectromechanical actuators: Differentiable design sensitivities and the damping-dependent collapse boundaryNanoelectromechanical actuators operating at sub-100-nm gaps collapse through a pull-in instability set by competing electrostatic and Casimir forces. The quasi-static fold that bounds their safe…N. S. Akintsov, A. P. Nevecheria, S. N. Andreev et al.·Aug 28, 2026SaveLearn
Covariant Electrodynamics with a Scalar Degree of FreedomWithin the Clifford algebra of spacetime, a covariant electrodynamics is formulated in which the derivative of the four-potential contains a scalar field (S) in addition to the electromagnetic…Seil Sautbekov·Aug 27, 2026SaveLearn
Electromagnetic Radiation from a Neutralized Polarized Sphere with Two Conserved Currents for One Charge HistoryCan a source radiate when its total charge density vanishes identically? Consider a uniformly polarized sphere coated with free surface charge that cancels the bound surface charge at every point and…Natan Rentzber·Aug 25, 2026SaveLearn
The Photon Gas in Classical Mechanics: A Statistical-Mechanical Treatment of Classical Field TheoryThe thermodynamics of cavity radiation is usually introduced through the quantum theory of a photon gas. In contrast, we investigate which features of thermal radiation follow from classical…Farhang Loran, Saman Moghimi-Araghi·Aug 24, 2026SaveLearn
Hydrogen Molecular Ion and Molecule in Classical Electrodynamics with Classical Zero-Point RadiationThe hydrogen molecular ion and the hydrogen molecule are treated in an approximate calculation based on classical electrodynamics which includes classical zero-point radiation. It is found within the…Timothy H. Boyer·Aug 23, 2026SaveLearn
Spheroid rolling up on diverging inclinesObjects rolling upward on diverging inclined rails exhibit a counterintuitive behavior that has intrigued physicists and students alike. Among the most well-known is the double-cone paradox, where a…Khanh P. M. Hoang, Duy V. Nguyen·Aug 20, 2026SaveLearn
Scalar-Longitudinal Radiation in Extended Electrodynamics with Multipole Theory and a Compensated Source ModelExtended electrodynamics (EED) leaves the Lorenz gauge condition unimposed and treats the scalar combination C=∇·A+c-2∂Φ/∂ t as a dynamical field. For a conserved…Natan Rentzber·Aug 19, 2026SaveLearn
Modeling Newtonian noise of acoustic origin in the Virgo gravitational wave detectorSince the first gravitational-wave (GW) detection of September 14th 2015 and with hundreds of gravitational-wave sources identified by the LIGO-Virgo-KAGRA network, GW have produced many important…Lionel Maurin, François Gautier, Maël Brun et al.·Aug 17, 2026SaveLearn
A stop to field line misconceptionsFor two hundred years - ever since Faraday's first conception of the field lines - hearts and minds of students have been pervaded by erroneous and unsubstantiated claims about these well defined…Petar Žugec, Ivica Friščić, Mihael Makek et al.·Aug 14, 2026SaveLearn
How much work can you get by removing weights from a piston?In thermodynamics, reversible adiabatic expansion can be understood as a limit of stepwise irreversible processes. We make this idea concrete by studying an ideal gas in an insulating cylinder with a…Joshua Samani·Aug 14, 2026SaveLearn
Huygens' principle and field equivalence relations for cylindrical enclosing surfacesFrequency-domain Huygens' principle and equivalence relations for an infinitely long cylindrical surface enclosing the field sources or scatterers are addressed. Assuming the harmonic dependence…Andrey Osipov, Sergei Tretyakov·Aug 14, 2026SaveLearn
Critical damping in linear system with two degrees of freedom: surprises and pitfallsIn this Brief Communication, we establish the notion of critical damping for generic two-degree-of-freedom system. For given set of masses and stiffnesses, the critical damping corresponds to the…Maxim D. Arnold, Oleg V. Gendelman, Vadim Zharnitsky·Aug 9, 2026SaveLearn
Solving the Dissipation Inequality not as a constitutive restrictionA solution procedure is formulated and solved for treating the nonlinear Dissipation Inequality as a constraint equation within continuum mechanics, and allowing for incomplete knowledge of…Maximiliano Larrain Silva, Amit Acharya·Aug 6, 2026SaveLearn
Spectral taxonomy for quartic systems: fundamental clock, parity, and continuumA symmetric quartic potential is a physics model with expansive applications, ranging from broadband energy harvesters, quantum tunneling in molecules and the early universe, to torque-free…Teepanis Chachiyo·Aug 4, 2026SaveLearn
Unifying pendulum-like dynamical regimes via complex timeWe present an alternative derivation of exact solutions for pendulum-like systems across all dynamical regimes using a standard technique in an undergraduate mathematical physics course: the Cauchy…Teepanis Chachiyo·Aug 4, 2026SaveLearn
Wave Scattering at temporal interfaces with spatial-translation-symmetry mismatchTemporal interfaces enable wave manipulation through broken time-translation symmetry, but conventional formulations generally assume that spatial-translation symmetry is preserved across the…Cong Chen, Kaijun Yi, Guoliang Huang et al.·Aug 3, 2026SaveLearn
Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square LawKepler's first two laws state that a planet moves on an ellipse with the Sun at a focus and sweeps out equal areas in equal times (constant areal speed). In the Principia, Newton showed how these…Changchun Shi·Aug 2, 2026SaveLearn
Variational Gaussian Wave-Packet Dynamics from Constrained Classical Trajectory BundlesVariational Gaussian wave-packet dynamics is usually obtained by restricting quantum evolution to Gaussian wave packets. We instead construct finite-N dynamics for a labeled bundle of classical…Taisuke Hasegawa·Aug 2, 2026SaveLearn
Conserved Quantities of Optimal Continuous-Thrust Trajectories in A Central Gravitational FieldThis paper presents a mathematical derivation for three new conserved quantities in the motion of spacecraft on optimal continuous-thrust trajectories in a central gravitational field. The process…Aimar Negrete, Ossama Abdelkhalik·Aug 1, 2026SaveLearn