308 papers
This paper validates a modified Teukolsky framework for predicting gravitational-wave ringdown spectra in effective field theories by successfully passing two rigorous null tests and confirming consistency between two independent numerical methods, thereby establishing its reliability for future strong-field tests of General Relativity.
This paper presents a constructive, closed-form method to generate Floquet-Bloch states for the Hill equation directly from arbitrary linearly independent solutions using the monodromy or transfer matrix, thereby providing a versatile framework for analyzing periodic systems without requiring canonically normalized solutions.
This review paper demonstrates that spatial torsion in Metric-Affine Gravity induces non-linear quantum fluctuations affecting spinless degrees of freedom through the Stochastic Variational Method, revealing a competitive interplay with Levi-Civita curvature and a structural parallelism with information geometry.
This paper introduces a novel mechanism called exceptional-bound (EB) band engineering that enables system-size-controlled topological transitions in non-Hermitian systems through unique critical scaling near exceptional points, distinct from the non-Hermitian skin effect and applicable to diverse experimental platforms.
This paper introduces the instrumental group algebra (IGA) as a Banach algebra framework for sequential quantum measurements, demonstrating that the time-dependent Kraus-operator density (KOD) evolves via a classical Kolmogorov equation and that combining instruments corresponds to convolution within the IGA, thereby providing a unified mathematical structure for observables that cannot be measured by orthogonal projections.
This paper introduces a novel logical framework featuring four distinct negations by generalizing spectral presheaves to arbitrary complete orthocomplemented lattices, thereby constructing Akchurin algebras that model a product of biquasiintuitionistic and biintuitionistic logics while demonstrating the impossibility of interpreting the spectral presheaf as a model for relevance logic.
This paper derives a gauge-invariant noncommutative Hamiltonian for graphene in a magnetic field to analytically determine its deformed Landau levels and thermal properties, such as free energy and specific heat, using zeta function regularization.
This paper demonstrates that massless scalar fields in a rotating Teo wormhole undergo stationary particle creation and entanglement via geometrically induced, asymmetric vacuum mode mixing, which acts as a non-dynamical analogue of the Asymmetric Dynamical Casimir Effect driven by frame dragging rather than time-dependent boundaries.
This paper demonstrates that in one dimension, every approximate quantum cellular automaton on a finite system can be rounded to an exact quantum cellular automaton with nearly identical local action, thereby proving that approximate QCAs are classified by the same index as exact ones through a novel local construction based on robust subalgebra intersections and Kitaev's rigidity theorem.
This paper provides a concise review of the diverse mathematical formulations of quantum uncertainty relations discovered since 1927, ranging from the traditional Heisenberg inequality and its Schrödinger-Robertson modifications to entropic, local, higher-order moment, and energy-time relations, as well as refinements based on state purity.
This paper introduces the numerical invariants of root activity and root curvature to derive sharper, dimension-free complexity bounds for Hamiltonian simulation within unitary representations of Lie algebras, demonstrating their effectiveness through a root-gate circuit model applied to spin-chain systems.
This paper derives refined hydrodynamic models for lipid bilayers that incorporate a scalar order parameter to account for molecular alignment, resulting in surface Landau–Helfrich and Beris–Edwards models for asymmetric and symmetric bilayers respectively, which generalize and provide an alternative derivation for existing surface Navier–Stokes–Helfrich models.
This paper investigates the asymptotic behavior of ground states for the nonlinear Schrödinger equation at endpoint powers, proving strong convergence with explicit bounds to a Gaussian "Gausson" in the logarithmic limit and to an Aubin-Talenti algebraic soliton in dimensions three and higher.
This paper explicitly computes the spectral metric, torsion, and Einstein tensors for a specific nontrivial spectral triple on a noncommutative torus, demonstrating that both the torsion and the Einstein tensor identically vanish.
This paper derives a two-parameter Chern-Simons-Schrödinger energy functional to describe interacting anyons in a trap, revealing how their self-generated magnetic flux and spin-orbit interactions lead to nonlinear Landau levels, stable counter-rotating vortices, and a novel supersymmetry-breaking phenomenon.
This paper introduces deformations of the symmetric subspace of multi-qubit systems by promoting the underlying group structure to the quantum group , demonstrating that these deformations correspond to local, position-dependent modifications of the inner product for each spin.
This paper proves that -dimensional solutions to the Einstein scalar-field Vlasov system, initially close to FLRW spacetimes on closed surfaces of arbitrary genus, exhibit stable Big Bang singularities with quiescent, velocity-term-dominated asymptotics and -inextendibility, thereby establishing the Strong Cosmic Censorship conjecture for a corresponding class of polarized -symmetric vacuum solutions.
This paper demonstrates that within a transition probability framework for generalized probabilistic theories, the postulate of bit symmetry implies the symmetry of transition probabilities, which, when combined with a strong symmetry condition on frames, restricts valid models to classical theories and simple Euclidean Jordan algebras.
This paper provides a rigorous probabilistic construction of the massless Sinh-Gordon model on an infinite cylinder using Gaussian multiplicative chaos and spectral analysis, establishing the existence of discrete spectrum and a strictly positive ground state for the associated quantum operator while deriving scaling relations for its correlation functions.
This paper provides a complete classification of finite-rank conformal Hamiltonians in one-dimensional quantum mechanics by establishing their conformal symmetry conditions, demonstrating that their correlation functions are homogeneous polynomials determined by the one-dimensional conformal Ward identities.