48 KiB
ArXiv Findings — LLM-Mapped (ollama/llama3.1:8b)
Papers: 50 Successfully mapped: 49 Equation: Ω = Ψ [ B(θ) ⊗ C(n, α) ] ⊕ Δ(n, θ, α)
1. Landau levels via Jordan superalgebras
Source: http://arxiv.org/abs/2605.02847v1 (2026)
Summary: The goal of this note is to show that Jordan algebras and superalgebras provide an elegant and concise language for formulating quantum mechanical problems with inherent (super)conformal symmetry. The superconformal symmetries of the quantum MICZ-Kepler model and its dual oscillator realization in {\mathbb R}^2 are reviewed through the lens of the Tits-Kantor-Koecher correspondence: Kaplansky {\mathfrak J} {\mathbb R}^{1|2} and Exceptional {\mathfrak J} F^{6|4} Jordan superalgebras provi
| Symbol | Mapping |
|---|---|
| Ω | N/A |
| Ψ | N/A |
| B | N/A |
| C | N/A |
| Δ | N/A |
2. Albertian Channel Memory in Black-Hole Evaporation
Source: http://arxiv.org/abs/2605.02792v1 (2026)
Summary: The AMPS paradox assumes a globally associative tensor-product stage for the early radiation, the exterior Hawking mode, and the interior partner. We study a retained attractor sector of octonionic magical supergravity whose horizon symbols form the Albert algebra J3(O). This induces an Albertian algebraic-quantum description: states are positive normalized functionals, events are Jordan idempotents, reversible motions are algebra automorphisms, and ordinary quantum mechanics is recovered on ass
| Symbol | Mapping |
|---|---|
| Ω | Black-Hole Evaporation Phenomenon |
| Ψ | Albertian Algebraic-Quantum Description Mechanism |
| B | Octonionic Magical Supergravity Basis |
| C | Hawking Radiation and Black Hole Environment Context |
| Δ | Fundamental Limit of Quantum Uncertainty |
3. Absence of Quantum-Metric-Induced Intrinsic Longitudinal Response
Source: http://arxiv.org/abs/2605.02750v1 (2026)
Summary: Nonlinear charge transport in solids has emerged as a powerful probe of the quantum geometric properties of Bloch electrons. While the Berry curvature underlies the intrinsic anomalous Hall effect, recent studies have suggested that the quantum metric may generate both \emph{intrinsic} nonlinear Hall and longitudinal transport. Here, using standard quantum-mechanical perturbation theory, we demonstrate that the quantum-metric-induced intrinsic longitudinal response identically vanishes, even tho
| Symbol | Mapping |
|---|---|
| Ω | Quantum-Metric-Induced Intrinsic Longitudinal Response |
| Ψ | Standard Quantum-Mechanical Perturbation Theory |
| B | Berry Curvature and Quantum Metric |
| C | Bloch Electrons in Solids with Nonlinear Charge Transport |
| Δ | Vanishing of Intrinsic Longitudinal Response |
4. High-Q cryogenic surface acoustic wave resonators in the GHz range
Source: http://arxiv.org/abs/2605.02722v1 (2026)
Summary: Surface acoustic wave (SAW) resonators provide a compact platform for confining microwave-frequency phonons and are widely used in radio-frequency technologies, but their operation at gigahertz frequencies and cryogenic temperatures remains challenging. In this regime, conventional design rules do not directly apply, and achieving high-quality acoustic confinement requires careful consideration about geometry and loss mechanisms. Here, we present a systematic experimental study of SAW resonators
| Symbol | Mapping |
|---|---|
| Ω | High-Q cryogenic surface acoustic wave resonators |
| Ψ | Systematic experimental study of SAW resonator design and operation |
| B | SAW resonator geometry and loss mechanisms |
| C | GHz frequency range, cryogenic temperatures, initial conditions |
| Δ | Uncertainty in achieving high-quality acoustic confinement |
5. Astrochemical Inheritance of Terrestrial Planets Water from Local Wet Silicates
Source: http://arxiv.org/abs/2605.02637v1 (2026)
Summary: The delivery of water to the inner Solar System rocky planets, including Earth, remains debated, as standard models assume that they formed from dry grains, inside the snowline of the protosolar nebula. However, a recent work showed that a not-negligible amount of water formed during the prestellar phase could have been retained by pebbles and planetesimals at the Earth's orbit in enough quantities to reproduce its water content. This study was based based on quantum mechanics (QM) calculations
| Symbol | Mapping |
|---|---|
| Ω | Water content of terrestrial planets |
| Ψ | Quantum mechanics calculations |
| B | Pebbles and planetesimals |
| C | Protosolar nebula environment |
| Δ | Uncertainty in water delivery models |
6. Revisiting semiclassical scalar QED in 1+1 dimensions
Source: http://arxiv.org/abs/2605.02570v1 (2026)
Summary: We study the backreaction of a charged scalar quantum field in the presence of two opposite charges placed at the boundaries of a finite one-dimensional region, with attention to boundary effects. We review, correct, and extend previous corresponding work of Ambjørn & Wolfram \cite{ambjorn_properties_1983}. Despite notable differences, our analysis confirms the mechanism, discussed by Ambjørn & Wolfram, by which the incorporation of backreaction avoids certain instabilities. We also observe th
| Symbol | Mapping |
|---|---|
| Ω | Semiclassical scalar QED output |
| Ψ | Quantum field theory operator |
| B | Charged scalar quantum field basis |
| C | Finite one-dimensional region context |
| Δ | Boundary effects and backreaction noise |
7. Injection of orbital angular momentum into transition metals from first-principles
Source: http://arxiv.org/abs/2605.02548v1 (2026)
Summary: We use quantum mechanical scattering calculations implemented in a basis of tight-binding muffin-tin orbitals to calculate nonequilibrium spin and orbital currents in transition metals with a view to understanding the length scale on which they decay. In the case of spin currents, the relaxation length, called the spin-flip diffusion length, is reasonably well understood. We apply our experience with spin currents to study orbitally-polarized currents and find that they behave qualitatively diff
| Symbol | Mapping |
|---|---|
| Ω | orbital angular momentum in transition metals |
| Ψ | quantum mechanical scattering calculations with tight-binding muffin-tin orbitals |
| B | tight-binding muffin-tin orbitals (basis vectors) |
| C | transition metal environment and initial conditions |
| Δ | spin-flip diffusion length uncertainty |
8. Geometric QCD III: Exact transition amplitudes and the glueball spectrum
Source: http://arxiv.org/abs/2605.02373v1 (2026)
Summary: We complete the analysis of planar Makeenko--Migdal loop equations in the continuum limit. Using the confining twistor-string representation, we compute the quantum fluctuation determinant. In Minkowski space, this reduces to a discrete product of finite-dimensional matrix quadratures. The $ζ$-regularized weight is independent of winding number w. Near the mass shell, the pole singularity is generated by w \to \infty, suppressing fluctuation variance as 1/w. The path integral localizes on
| Symbol | Mapping |
|---|---|
| Ω | Glueball spectrum |
| Ψ | Confining twistor-string representation |
| B | Planar Makeenko-Migdal loop equations |
| C | Minkowski space, winding number w |
| Δ | Quantum fluctuation determinant |
9. Relativistic Feshbach-Villars Equation for Two Spin-0 Particles
Source: http://arxiv.org/abs/2605.02161v1 (2026)
Summary: The Feshbach-Villars version of the relativistic quantum mechanics can be extended for two-body systems in such a way that the center-of-mass motion is separated off. The procedure results in an equation of Feshbach-Villars-type in terms of the relative coordinate.
| Symbol | Mapping |
|---|---|
| Ω | Relativistic quantum mechanics for two-body systems |
| Ψ | Feshbach-Villars equation with relativistic corrections |
| B | Relative coordinate and spin-0 particles |
| C | Center-of-mass motion and initial conditions |
| Δ | Quantum fluctuations and uncertainty principle |
10. Ergodic and Discrete Time Crystal Phases in Periodically Kicked Many-Body Quantum Systems: An Analytical Study
Source: http://arxiv.org/abs/2605.01969v1 (2026)
Summary: We analytically study the time evolution of the expectation values of observables in periodically kicked many-body quantum systems. Starting from an initial state, we compute both the transient and the long-time properties of the observables. Our derivation explains the criteria and the mechanism that lead to the infinite-temperature statistical average of observables at long times, irrespective of the initial state. When the criteria are violated, the observables oscillate with time. These osci
| Symbol | Mapping |
|---|---|
| Ω | Quantum system observables |
| Ψ | Many-body quantum theory |
| B | Hamiltonian and basis vectors |
| C | Periodic kicks and initial conditions |
| Δ | Quantum noise and uncertainty |
11. Confinement of Massive Ghost in Quadratic Gravity
Source: http://arxiv.org/abs/2605.01966v1 (2026)
Summary: In the framework of the covariant canonical formalism of quadratic gravity, we consider the problem of confinement of massive ghost which violates the unitarity of the physical S-matrix. It is shown that if there is a bound state between the massive ghost and Faddeev-Popov ghost the massive ghost is confined in the zero-norm states through the BRST quartet mechanism, thereby the unitarity being restored. Based on the superfield formulation by Bonora and Tonin, we show that the asymptotic field o
| Symbol | Mapping |
|---|---|
| Ω | Confinement of Massive Ghost |
| Ψ | Quadratic Gravity with BRST Quartet Mechanism |
| B | Faddeev-Popov Ghost and Massive Ghost |
| C | Covariant Canonical Formalism and Superfield Formulation |
| Δ | Unitarity Violation and Asymptotic Field Uncertainty |
12. Schur States, Average Mixing, and Counting Trees on Line Graphs' CTQW
Source: http://arxiv.org/abs/2605.01953v1 (2026)
Summary: We introduce a family of complex-valued edge weights on a finite simple graph \G arising from a continuous-time quantum walk on the line graph \ell\G, packaged as the \emph{Schur state}: an n \times n Hermitian matrix encoding the amplitudes of an edge-state walk. The entrywise modulus square induces a real-weighted adjacency matrix A(e) and Laplacian L(e), and time-averaging yields a weighted graph whose spanning-tree count we relate to that of \G. Our main result is [ tn!\left(
| Symbol | Mapping |
|---|---|
| Ω | Quantum walk outcomes on line graphs |
| Ψ | Continuous-time quantum walk operator |
| B | Hermitian matrix (Schur state) |
| C | Graph structure and edge weights |
| Δ | Noise in quantum walk amplitudes |
13. Expectation Pauli-Lubanski vector and intrinsic angular momentum of relativistic wavepackets
Source: http://arxiv.org/abs/2605.01932v1 (2026)
Summary: In non-relativistic mechanics, the total (orbital) angular momentum (AM) of a spatially-distributed system can be decomposed into intrinsic and extrinsic contributions. In relativistic quantum mechanics, intrinsic AM is typically associated with spin, which can be described using the Pauli-Lubanski four-vector. Here, we develop a unified formalism that combines the main features of both approaches and describes the intrinsic AM of a relativistic wavepacket, including both spin and orbital contri
| Symbol | Mapping |
|---|---|
| Ω | Relativistic wavepacket angular momentum |
| Ψ | Unified formalism of relativistic quantum mechanics |
| B | Pauli-Lubanski four-vector (spin) |
| C | Relativistic wavepacket and initial conditions |
| Δ | Quantum fluctuations and uncertainty principle |
14. Reevaluation of Inflationary Dynamics in Extended General Relativity with Perturbatively and Tensorially Structured Conformal Metric
Source: http://arxiv.org/abs/2605.01619v1 (2026)
Summary: Based on the conventional metric tensor and driven by a nearly constant energy density, cosmic inflation, characterized by a remarkably accelerated expansion, was proposed as an early epoch in the Universe. The energy density is typically modeled through a slow-rolling scalar field, whose potential energy dominates the dynamics. This mechanism addresses horizon, flatness, and relic problems, while also generating quantum fluctuations that are stretched to cosmological scales, leading to emergenc
| Symbol | Mapping |
|---|---|
| Ω | Cosmic inflation, accelerated expansion |
| Ψ | Extended General Relativity with conformal metric |
| B | Conventional metric tensor |
| C | Slow-rolling scalar field and energy density |
| Δ | Quantum fluctuations and uncertainty |
15. From Qubit to Qubit: A Graduate Course in Quantum Mechanics
Source: http://arxiv.org/abs/2605.01585v1 (2026)
Summary: This textbook is drawn from notes for a two-semester graduate course in quantum mechanics. It begins with the most constrained quantum system, and recovers the rest of the subject by relaxing those constraints one at a time. The starting point is a single qubit, the smallest nontrivial Hilbert space with the strongest possible restriction on its dynamics, made concrete by a Bloch cube whose six faces are the cardinal states of a spin-1/2 system. Tensor products admit many qubits; lattices give t
| Symbol | Mapping |
|---|---|
| Ω | Quantum Mechanics knowledge |
| Ψ | Tensor product operator for qubits |
| B | Qubit (Bloch sphere, Hilbert space) |
| C | Constraints on dynamics and initial conditions |
| Δ | Fundamental limit of quantum uncertainty |
16. NEGF Modeling of Impact Ionization in Semiconductor Avalanche Photodiodes for Quantum Networking
Source: http://arxiv.org/abs/2605.01244v1 (2026)
Summary: We present an atomistic quantum transport simulation framework based on the Non-Equilibrium Green's Function (NEGF) formalism to model impact ionization in semiconductor avalanche devices, with direct relevance to near-term quantum networking applications. Conventional descriptions of avalanche breakdown rely predominantly on semiclassical simulation methods, such as local ionization coefficients, semiclassical carrier trajectories, or Monte Carlo sampling, all of which implicitly assume weak co
| Symbol | Mapping |
|---|---|
| Ω | Quantum transport simulation results for avalanche photodiodes |
| Ψ | Non-Equilibrium Green's Function (NEGF) formalism |
| B | Atomistic quantum transport framework and semiconductor basis vectors |
| C | Initial conditions, input data, and environmental parameters |
| Δ | Noise and uncertainty in ionization coefficients |
17. On Quantum Indeterminacy
Source: http://arxiv.org/abs/2605.01103v1 (2026)
Summary: We introduce a geometric formulation of quantum indeterminacy from which the standard uncertainty inequalities emerge as necessary consequences. Our approach is based on convex geometry in phase space and on methods from symplectic topology, and does not rely on statistical descriptors such as variances or covariances. Instead, we associate to empirical position and momentum data with convex bodies whose mutual relations encode the fundamental constraints of quantum mechanics. The central tools
| Symbol | Mapping |
|---|---|
| Ω | Quantum Indeterminacy |
| Ψ | Geometric Formulation of Quantum Mechanics |
| B | Convex Bodies in Phase Space |
| C | Empirical Position and Momentum Data |
| Δ | Fundamental Constraints of Quantum Mechanics |
18. Sheaf-Theoretic Preparation Contextuality
Source: http://arxiv.org/abs/2605.00975v1 (2026)
Summary: We introduce a preparation-dual notion of contextuality, formulated as an obstruction to stochastic extension. In parallel with the sheaf-theoretic formulation of measurement contextuality, preparation contextuality arises when locally specified preparation statistics cannot be extended to a single global response matrix compatible with all source contexts. Whereas measurement contextuality concerns the incompatibility of restriction maps (marginalisation), the preparation setting requires stoch
| Symbol | Mapping |
|---|---|
| Ω | Preparation contextuality phenomenon |
| Ψ | Sheaf-theoretic preparation operator |
| B | Locally specified preparation statistics |
| C | Source contexts and initial conditions |
| Δ | Incompatibility of global response matrices |
19. Universality of Quantum Gates in Particle and Symmetry Constrained Subspaces
Source: http://arxiv.org/abs/2605.00979v1 (2026)
Summary: Simulating physical systems on near-term quantum computers often requires preparing states within constrained subspaces, like those with fixed particle number or spin. We use Lie algebraic techniques to prove that hardware-efficient gates are universal for state preparation in these subspaces. The key mechanism is Pauli Z dressing: commutators of overlapping gates produce Pauli Z operators on shared qubits, acting as spectator projectors that decompose multi-plane rotations into single-plane
| Symbol | Mapping |
|---|---|
| Ω | Quantum gate universality |
| Ψ | Lie algebraic techniques |
| B | Pauli Z operators |
| C | Particle number or spin constraints |
| Δ | Fundamental limit of quantum noise |
20. Topological protection of local quantum Fisher information
Source: http://arxiv.org/abs/2605.00770v1 (2026)
Summary: In many-body quantum systems, unitary dynamics generically delocalize locally encoded information, causing single-site metrological sensitivity to vanish. We analytically demonstrate that a topological phase can prevent this dispersal. In the open Kitaev chain, a Majorana zero mode fixes the boundary quantum Fisher information (QFI) at a nonzero plateau that persists for times exponentially long in system size. We derive exact analytical expressions for the local QFI and identify the mechanism a
| Symbol | Mapping |
|---|---|
| Ω | Topological protection of local quantum Fisher information |
| Ψ | Unitary dynamics in many-body quantum systems |
| B | Majorana zero mode, Kitaev chain basis vectors |
| C | Open system, initial conditions, input data |
| Δ | Dispersal of locally encoded information |
21. Gravity-induced Entanglement under Constrained Dynamics
Source: http://arxiv.org/abs/2605.00967v1 (2026)
Summary: Tests of gravity-induced entanglement have been proposed as a route to probing the quantum nature of gravity, but existing schemes rely on free-fall interferometry of massive spatial superpositions, imposing severe experimental constraints. We show that systems exhibiting effectively inertial dynamics in the short-time regime reproduce the same gravitational phase accumulation responsible for entanglement generation. Deviations from the free-fall phase enter at order (t/T)^2, where t is the
| Symbol | Mapping |
|---|---|
| Ω | Gravity-induced Entanglement |
| Ψ | Constrained Dynamics Theory |
| B | Inertial Dynamics Basis |
| C | Free-fall Interferometry Context |
| Δ | Quantum Noise Limit |
22. Learning Lindblad Dynamics of a Superconducting Quantum Processor
Source: http://arxiv.org/abs/2605.00626v1 (2026)
Summary: Accurate models of quantum processors are essential for understanding, calibrating, and improving their performance. In practice, model construction must balance physical detail against the experimental and computational effort required to reliably learn parameters. Compact descriptions therefore often rely on assumptions about which interactions, noise processes, or hidden degrees of freedom are relevant. Here we introduce LIMINAL, a data-driven framework for testing such assumptions and select
| Symbol | Mapping |
|---|---|
| Ω | Quantum processor performance metrics |
| Ψ | LIMINAL framework with Lindblad dynamics model |
| B | Superconducting quantum circuit basis vectors |
| C | Experimental data and noise processes context |
| Δ | Model uncertainty and residual errors |
23. Separation of even-even from even-odd isotopes using ultrafast lasers
Source: http://arxiv.org/abs/2605.00959v1 (2026)
Summary: We propose a laser isotope separation mechanism in which selectivity arises from nuclear spin rather than isotope shifts, enabling the use of broadband ultrafast lasers. A Ramsey pulse sequence is applied to paramagnetic molecular isotopologues possessing two electronic states coupled by a dipole transition. For even-even isotopologues (nuclear spin I = 0), each electronic state is a single level and the time-reversed sequence returns all population to the ground state exactly. For even-odd is
| Symbol | Mapping |
|---|---|
| Ω | Laser-separated isotopes |
| Ψ | Ramsey pulse sequence operator |
| B | Nuclear spin (I = 0) |
| C | Ultrafast laser and molecular isotopologues |
| Δ | Isotopic selectivity uncertainty |
24. Superconducting diode effect in correlated electron systems by nonreciprocal magnetism
Source: http://arxiv.org/abs/2605.00601v1 (2026)
Summary: The superconducting diode effect (SDE), characterized by a nonreciprocal critical current in superconductors, has recently been observed in strongly correlated electron systems and near quantum criticality, pointing to unconventional mechanisms beyond weak-coupling theories. Here we investigate the SDE in the Rashba-Zeeman-Hubbard model, which captures $d$-wave superconductivity in an antiferromagnetic quantum critical regime, using the Dyson-Gor'kov equation with the fluctuation exchange approx
| Symbol | Mapping |
|---|---|
| Ω | Superconducting diode effect |
| Ψ | Dyson-Gor'kov equation with fluctuation exchange approximation |
| B | Rashba-Zeeman-Hubbard model |
| C | Strongly correlated electron systems near quantum criticality |
| Δ | Uncertainty in weak-coupling theories |
25. Generalized First Law and Smarr Formula: Beyond Additivity and Extensivity
Source: http://arxiv.org/abs/2605.00381v1 (2026)
Summary: The study of black hole thermodynamics becomes a central topic in gravitational physics, where the first law and the Smarr relation establish a deep connection between spacetime geometry and thermodynamic laws. As we know, these relations depend on the entropy; any modification to the entropy arising from quantum gravity or generalized statistical mechanics may impact the basic thermodynamic framework of black holes. In this work, we develop a general framework for deriving the first law of blac
| Symbol | Mapping |
|---|---|
| Ω | Black hole thermodynamics |
| Ψ | Generalized statistical mechanics |
| B | Spacetime geometry |
| C | Quantum gravity effects |
| Δ | Entropy uncertainty |
26. Tracing Primordial Gravitational Waves via non-Gaussian Signatures of Halo Bias
Source: http://arxiv.org/abs/2605.02882v1 (2026)
Summary: Primordial gravitational waves (PGWs) generate scalar density perturbations at second order. Since the induced density contrast is quadratic in the tensor field, it is intrinsically non-Gaussian. We study the imprint of this tensor-induced non-Gaussianity (NG) on the large-scale clustering of dark matter halos through its correction to halo bias. Focusing on inflationary scenarios with a peaked primordial tensor spectrum, we derive the leading scale-dependent contribution sourced by the bispectr
| Symbol | Mapping |
|---|---|
| Ω | Primordial Gravitational Waves |
| Ψ | Halo Bias Theory |
| B | Scalar Density Perturbations |
| C | Inflationary Scenarios and Tensor Spectrum |
| Δ | Tensor-Induced Non-Gaussianity |
27. Enhancing RL Generalizability in Robotics through SHAP Analysis of Algorithms and Hyperparameters
Source: http://arxiv.org/abs/2605.02867v1 (2026)
Summary: Despite significant advances in Reinforcement Learning (RL), model performance remains highly sensitive to algorithm and hyperparameter configurations, while generalization gaps across environments complicate real-world deployment. Although prior work has studied RL generalization, the relative contribution of specific configurations to the generalization gap has not been quantitatively decomposed and systematically leveraged for configuration selection. To address this limitation, we propose an
| Symbol | Mapping |
|---|---|
| Ω | RL generalization performance in robotics |
| Ψ | SHAP analysis of RL algorithms and hyperparameters |
| B | Algorithmic configurations (e.g., policy gradients, Q-learning) |
| C | Robotics environments with varying conditions and tasks |
| Δ | Uncertainty and error in model generalization across environments |
28. Pixel Perfect: Relational Image Quality Assessment with Spatially-Aware Distortions
Source: http://arxiv.org/abs/2605.02863v1 (2026)
Summary: Traditional image quality assessment (IQA) methods rely on mean opinion scores (MOS), which are resource-intensive to collect and fail to provide interpretable, localized feedback on specific image distortions. We overcome these limitations by shifting from absolute quality prediction to a relational and directional assessment. Our approach utilizes a self-supervised synthetic distortion engine to generate training data, eliminating the need for manual annotation. A distortion prediction network
| Symbol | Mapping |
|---|---|
| Ω | Image quality assessment scores |
| Ψ | Distortion prediction network and self-supervised engine |
| B | Pixel features and spatial relationships |
| C | Training data, initial conditions (synthetic distortions) |
| Δ | Noise from manual annotation limitations |
29. Opportunities and challenges in scaling quantum error detection on hardware
Source: http://arxiv.org/abs/2605.02861v1 (2026)
Summary: Quantum error detection can produce unbiased expectation values that exponentially converge to noiseless results as the code distance is increased. Despite this, its performance as an error mitigation technique is relatively understudied on quantum hardware because of its two main drawbacks: (i) the number of samples increases exponentially in the circuit depth/noise level, and (ii) the classical processing generally grows exponentially in the code distance, though exceptions exist. Additionally
| Symbol | Mapping |
|---|---|
| Ω | Quantum error detection performance on hardware |
| Ψ | Quantum error correction theory and algorithms |
| B | Quantum code distance (basis vectors) |
| C | Circuit depth, noise level, and initial conditions |
| Δ | Exponential growth of classical processing complexity |
30. Active Sampling for Ultra-Low-Bit-Rate Video Compression via Conditional Controlled Diffusion
Source: http://arxiv.org/abs/2605.02849v1 (2026)
Summary: Diffusion models provide a powerful generative prior for perceptual reconstruction at ultra-low bitrates, but effective video compression requires controlling the generative process using highly compact conditioning signals. In this work, we present ActDiff-VC, a diffusion-based video compression framework for the ultra-low-bitrate regime. Our method partitions videos into variable-length segments, transmits keyframes only when needed, and summarizes temporal dynamics using a compact set of trac
| Symbol | Mapping |
|---|---|
| Ω | Ultra-low-bitrate video compression |
| Ψ | Diffusion-based generative model with conditional control |
| B | Keyframes and temporal dynamics summary |
| C | Variable-length segments, compact conditioning signals |
| Δ | Noise in compressed video data |
31. A Statistical Survey of Faint Solar X-ray Transients Observed by NuSTAR
Source: http://arxiv.org/abs/2605.02837v1 (2026)
Summary: In this paper, we use a highly sensitive telescope to characterize solar X-ray transients ranging from microflares in active regions down to weakly energetic brightenings in the quiet Sun. X-rays are closely linked to the initial energy release and immediate heating of solar flares, making them invaluable in understanding their driving processes. NuSTAR is the first long-term, direct focusing hard X-ray observatory to have observed the Sun, offering a unique opportunity to search for and charact
| Symbol | Mapping |
|---|---|
| Ω | Solar X-ray transients |
| Ψ | NuSTAR telescope observations |
| B | X-rays as fundamental component |
| C | Solar flares and initial conditions |
| Δ | Instrumental noise and uncertainty |
32. Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality
Source: http://arxiv.org/abs/2605.02820v1 (2026)
Summary: In this paper, we present the exact decoupling of the full metric and bumblebee field perturbations in a Schwarzschild-like background. The coupled system reduces to four decoupled master equations, revealing in each parity sector a Schwarzschild-like gravitational sector and a Lorentz-violating Maxwell-like vector sector. While Lorentz violation modifies the propagation speed of the emergent vector modes, we demonstrate that the gravitational master modes exhibit a ``dynamical immunity'' to the
| Symbol | Mapping |
|---|---|
| Ω | Gravitational-Bumblebee perturbations |
| Ψ | Exact decoupling and isospectrality mechanism |
| B | Schwarzschild-like background metric |
| C | Lorentz-violating Maxwell-like vector sector |
| Δ | Propagation speed modification uncertainty |
33. FlexSQL: Flexible Exploration and Execution Make Better Text-to-SQL Agents
Source: http://arxiv.org/abs/2605.02815v1 (2026)
Summary: Text-to-SQL over large analytical databases requires navigating complex schemas, resolving ambiguous queries, and grounding decisions in actual data. Most current systems follow a fixed pipeline where schema elements are retrieved once upfront and the database is only revisited for post-hoc repair, limiting recovery from early mistakes. We present FlexSQL, a text-to-SQL agent whose core design principle is flexible database interaction: the agent can explore schema structure, inspect data values
| Symbol | Mapping |
|---|---|
| Ω | Text-to-SQL agents' performance and accuracy |
| Ψ | FlexSQL's flexible database interaction mechanism |
| B | Schema elements, database structure, and query templates |
| C | User input queries, schema complexity, and data variability |
| Δ | Ambiguity in queries, schema inconsistencies, and data noise |
34. Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
Source: http://arxiv.org/abs/2605.02813v1 (2026)
Summary: We construct the generalized Komar charge of generic, non-linear theories of electrodynamics (NLED) in 4 dimensions coupled to Einstein gravity. The contribution of the dimensionful coupling constant present in all these theories is obtained by promoting it to a dynamical field which is forced to be constant on-shell by a Lagrange multiplier. We use this charge to derive a Smarr formula for asymptotically-flat black-hole and soliton solutions of these theories that includes the contribution of t
| Symbol | Mapping |
|---|---|
| Ω | Smarr formula for black-hole solutions |
| Ψ | Einstein-nonlinear electrodynamics theories |
| B | Komar charge in NLED theories |
| C | Dimensionful coupling constant and Lagrange multiplier |
| Δ | Uncertainty due to non-linear electrodynamics |
35. Hadronic lensing
Source: http://arxiv.org/abs/2605.02807v1 (2026)
Summary: We introduce an analytic approach to study gravitational lensing in the presence of a distribution of hadrons. The situation is analogous to the propagation of photons in a medium with a nontrivial Cooper-pair condensate, where the photon acquires an effective mass term that may depend on the coordinates if the condensate is not homogeneous. As a result, photons generally do not follow null geodesics in the hadronic medium. In this setup, hadrons are described by the nonlinear sigma model minima
| Symbol | Mapping |
|---|---|
| Ω | Gravitational lensing effects on hadrons |
| Ψ | Nonlinear sigma model and general relativity |
| B | Hadron distribution (nonlinear sigma model minima) |
| C | Hadronic medium with nontrivial Cooper-pair condensate |
| Δ | Uncertainty in photon propagation due to effective mass term |
36. A delay-programmable two-color femtosecond source for multiphoton ionization studies based on chirped-seed NOPA
Source: http://arxiv.org/abs/2605.02749v1 (2026)
Summary: We demonstrate a delay-programmable two-color femtosecond source based on a chirped-seed noncollinear optical parametric amplifier. Introducing controlled dispersion into the seed enables spectral selection through pump-seed delay, allowing flexible generation of two independently tunable pulse components with adjustable relative timing at high repetition rate. The temporal and spectral properties are characterized using nonlinear optical cross-correlation and dispersion-scan measurements. As a
| Symbol | Mapping |
|---|---|
| Ω | Femtosecond pulses for multiphoton ionization studies |
| Ψ | Chirped-seed noncollinear optical parametric amplifier (NOPA) |
| B | Pump and seed laser pulses |
| C | Dispersion, pump-seed delay, initial conditions |
| Δ | Noise in pulse timing and spectral selection |
37. Foundation Models to Unlock Real-World Evidence from Nationwide Medical Claims
Source: http://arxiv.org/abs/2605.02740v1 (2026)
Summary: Evidence derived from large-scale real-world data (RWD) is increasingly informing regulatory evaluation and healthcare decision-making. Administrative claims provide population-scale, longitudinal records of healthcare utilization, expenditure, and detailed coding of diagnoses, procedures, and medications, yet their potential as a substrate for healthcare foundation models remains largely unexplored. Here we present ReClaim, a generative transformer trained from scratch on 43.8 billion medical e
| Symbol | Mapping |
|---|---|
| Ω | Nationwide Medical Claims data |
| Ψ | Generative Transformer model ReClaim |
| B | Administrative claims records (basis vectors) |
| C | 43.8 billion medical electronic health records (context) |
| Δ | Uncertainty in healthcare decision-making |
38. Accessibility and Gorenstein injective envelopes
Source: http://arxiv.org/abs/2605.02634v1 (2026)
Summary: Let \mathcal{G} be a Grothendieck category. We prove completeness of the Gorenstein injective cotorsion pair whenever \mathcal{G} admits a set of Tate trivial generators, and show that having such generators is necessary for completeness. In this case it must be a perfect cotorsion pair, cogenerated by a set, and equivalent to an injective abelian model structure on \mathcal{G}. Examples include Grothendieck categories (possibly without enough projectives) that admit a generating set consi
| Symbol | Mapping |
|---|---|
| Ω | Gorenstein injective cotorsion pair completeness |
| Ψ | Grothendieck category theory and model structures |
| B | Tate trivial generators, Gorenstein injective envelopes |
| C | Grothendieck categories, initial conditions, input data |
| Δ | Fundamental limit of cotorsion pair incompleteness |
39. Axial tidal Love numbers of black holes in matter environments
Source: http://arxiv.org/abs/2605.02633v1 (2026)
Summary: We study the axial (magnetic) tidal Love numbers of a Schwarzschild black hole surrounded by a spherically symmetric matter distribution. While the formalism developed here is general, we specialize to the case of anisotropic fluids as a proxy for dark matter distributions, computing the Love numbers for different density profiles of astrophysical interest. We employ two complementary methods: a small-compactness expansion, yielding closed-form analytic expressions, and direct numerical integrat
| Symbol | Mapping |
|---|---|
| Ω | Axial tidal Love numbers of black holes |
| Ψ | General Relativity with matter distribution |
| B | Schwarzschild metric and anisotropic fluids |
| C | Spherically symmetric matter distribution and density profiles |
| Δ | Numerical integration uncertainty and compactness limit |
40. Mitigation of Boundary Sampling Artifacts in Phase Space Generation for Electron FLASH Radiotherapy
Source: http://arxiv.org/abs/2605.02605v1 (2026)
Summary: Applicator-specific phase space (PHSP) files recorded at the aperture exit reduce Monte Carlo dose calculation time by 30-50% for electron FLASH radiotherapy. However, positioning PHSP scoring planes coincident with the applicator-air interface introduces boundary sampling artifacts. This study characterizes these artifacts in Geant4-based simulations and demonstrates their mitigation. PHSP files were generated using GAMOS 6.2.0 for a 9 MeV Mobetron UHDR model across twelve clinical aperture con
| Symbol | Mapping |
|---|---|
| Ω | Monte Carlo dose calculation time |
| Ψ | GAMOS 6.2.0 simulation software |
| B | Geant4-based simulations framework |
| C | Electron FLASH radiotherapy treatment parameters |
| Δ | Boundary sampling artifacts and noise |
41. Exact solutions for slowly rotating wormholes in the presence of an anisotropic fluid
Source: http://arxiv.org/abs/2605.02555v1 (2026)
Summary: We construct slowly rotating traversable wormholes in the presence of an anisotropic fluid. Starting from a Teo-type stationary, axisymmetric extension of the Morris-Thorne metric, we perform a slow-rotation expansion, fix a gauge that preserves the geometric meaning of the radial coordinate, and introduce two complementary prescriptions for treating the throat (fixed and free). Within this framework, the Einstein equations and conservation laws form a closed system, from which we obtain analyti
| Symbol | Mapping |
|---|---|
| Ω | Wormhole solutions |
| Ψ | Einstein equations and conservation laws |
| B | Morris-Thorne metric |
| C | Anisotropic fluid, slow rotation, initial conditions |
| Δ | Numerical uncertainty |
42. IteRate: Autonomous AI Synthesis of In-Kernel eBPF Wi-Fi Rate Control Algorithms
Source: http://arxiv.org/abs/2605.02542v1 (2026)
Summary: Wi-Fi rate adaptation remains a persistent challenge in wireless networking. Deployed algorithms like Minstrel-HT have remained largely stagnant for over a decade, relying on hand-tuned heuristics that fail to generalize to the complexity of modern wireless environments. We present \name, an autonomous research system that closes the loop on rate control development. IteRate uses a multi-agent AI architecture to conduct the full scientific cycle: formulating hypotheses, writing eBPF programs tha
| Symbol | Mapping |
|---|---|
| Ω | Wi-Fi rate adaptation algorithms |
| Ψ | Multi-agent AI architecture with eBPF program synthesis |
| B | Hand-tuned heuristics and eBPF programs |
| C | Complexity of modern wireless environments and input data |
| Δ | Limited generalizability and fundamental uncertainty in rate control |
43. Orchestrating Spatial Semantics via a Zone-Graph Paradigm for Intricate Indoor Scene Generation
Source: http://arxiv.org/abs/2605.02537v1 (2026)
Summary: Autonomous 3D indoor scene synthesis breaks down in non-convex rooms with tightly coupled spatial constraints. Data-driven generators lack topological priors for long-horizon planning, while iterative agents fragment semantics and become geometrically brittle. We present ZoneMaestro, a unified framework that shifts the paradigm from object-centric synthesis to Zone-Graph Orchestration. By internalizing a novel zone-based logic, ZoneMaestro translates high-level semantic intent into functional zo
| Symbol | Mapping |
|---|---|
| Ω | Indoor scene generation |
| Ψ | ZoneMaestro framework |
| B | Zone-Graph paradigm |
| C | Spatial semantics and constraints |
| Δ | Geometric brittleness and fragmentation |
44. Cascade Pipeline for Leading-Order Matrix Element Evaluation on AMD Versal AI Engine Arrays
Source: http://arxiv.org/abs/2605.02481v1 (2026)
Summary: A major computational bottleneck in modern High Energy Physics event generators arises from the integration of the matrix element, which requires repeated evaluations at different phase-space points to cover all possible initial- and final-state configurations. As the Large Hadron Collider enters its High-Luminosity phase, the demand for energy-efficient acceleration is expected to exceed the limits of conventional CPU scaling, motivating the use of highly parallel computing platforms such as gr
| Symbol | Mapping |
|---|---|
| Ω | Matrix element evaluation results |
| Ψ | High Energy Physics event generators algorithms |
| B | Phase-space points and initial-final state configurations |
| C | Computational resources, parallel computing platforms, and input data |
| Δ | Integration noise and computational error |
45. Singularity softening and avoidance by the action of thermal radiation in a generalized entropic cosmology
Source: http://arxiv.org/abs/2605.02477v1 (2026)
Summary: Some relevant aspects of a new form of generalized entropic cosmology, recently introduced by Nojiri, Odintsov and Faraoni, are considered. The setup is a logarithmic equation of state for a viscous dark fluid coupled with dark matter, in the ordinary Friedmann-Lemaître-Robertson-Walker flat universe. The influence of thermal effects, caused by Hawking radiation, near the singularity, are carefully investigated. In particular, their role on the formation and specific type of the Big Rip expected
| Symbol | Mapping |
|---|---|
| Ω | Singularity softening and avoidance phenomenon |
| Ψ | Generalized entropic cosmology theory |
| B | Viscous dark fluid equation of state |
| C | Thermal radiation, Hawking radiation effects |
| Δ | Uncertainty in singularity formation |
46. Testing General Relativity Through Gravitational Wave Classification: A Convolutional Neural Network Framework
Source: http://arxiv.org/abs/2605.02453v1 (2026)
Summary: We present a machine learning framework for testing general relativity (GR) with gravitational wave signals from binary black hole mergers. Using the source parameters of 173 BBH events from the GWTC catalog as a realistic astrophysical population, we generate simulated GR waveforms and construct beyond GR (BGR) waveforms by applying controlled phase deformations. We introduce a response function formalism that provides a systematic framework for quantifying how any observable responds to modifi
| Symbol | Mapping |
|---|---|
| Ω | Gravitational wave signals |
| Ψ | Convolutional Neural Network Framework |
| B | General Relativity (GR) theory |
| C | Simulated binary black hole mergers data |
| Δ | Uncertainty in waveform classification |
47. Quantum scars from holographic boson stars
Source: http://arxiv.org/abs/2605.02446v1 (2026)
Summary: Quantum many-body scars are atypical nonthermal states embedded in the chaotic spectrum that evade conventional ergodicity. We show that asymptotically AdS mini-boson stars provide a holographic realization of scar-like states. Their spectrum exhibits random-matrix signatures of chaos while supporting embedded integrable spectral branches. The full holographic system, including black holes, is generically chaotic with most eigenstates satisfying the eigenstate thermalization hypothesis; in contr
| Symbol | Mapping |
|---|---|
| Ω | Quantum many-body scars |
| Ψ | Holographic theory of boson stars |
| B | AdS mini-boson star configurations |
| C | Gravitational and quantum field dynamics |
| Δ | Fundamental limits of holographic duality |
48. Power set operads
Source: http://arxiv.org/abs/2605.02440v1 (2026)
Summary: We introduce a systematic method for constructing set-theoretic operads via iterated application of the power set functor, and use it to uncover a hierarchy connecting several classical operads. Starting from the permutative operad, the first iteration recovers the commutative triassociative operad. The second iteration produces the substitution operad and the composition operad on simplicial complexes, two structures introduced by Ayzenberg and Abramyan--Panov in the theory of polyhedral prod
| Symbol | Mapping |
|---|---|
| Ω | Power set operads |
| Ψ | Iterated power set functor |
| B | Permutative operad |
| C | Classical operads and initial conditions |
| Δ | Hierarchy connecting operads |
49. Euclid preparation. CosmoPostProcess: A simulation calibrated framework for weak lensing selection bias in richness-selected galaxy clusters
Source: http://arxiv.org/abs/2605.02723v1 (2026)
Summary: We present \texttt{CosmoPostProcess}, a simulation-based forward-modelling algorithm calibrated to reproduce Euclid optical cluster observables. Its main deliverable is a correction for stacked surface-density profiles, binned in richness and redshift, accounting for selection systematics in richness-selected samples relative to unbiased references. We focus on the Euclid richness definition foreseen for cosmological analyses, which does not apply a colour selection; red-sequence richness is not
| Symbol | Mapping |
|---|---|
| Ω | Euclid optical cluster observables |
| Ψ | CosmoPostProcess simulation-based forward-modelling algorithm |
| B | Richness definition for cosmological analyses |
| C | Selection systematics, initial conditions, input data |
| Δ | Selection bias, uncertainty in richness-selected samples |
50. How neutrinos could help solving cosmological anomalies and tensions
Source: http://arxiv.org/abs/2605.02547v1 (2026)
Summary: In this talk I discuss how neutrinos might help solving or alleviating different anomalies and tensions in cosmology. Invisible decays of the heaviest relic neutrinos might provide a way to solve the neutrino mass tension between cosmological observations and neutrino oscillation experiments. The excess radio background mystery could be explained by radiative decays of relic neutrinos. However, the upper bound on the neutrino effective magnetic moment requires some trick to be circumvented. To t
| Symbol | Mapping |
|---|---|
| Ω | Cosmological anomalies and tensions |
| Ψ | Neutrino decay theory |
| B | Relic neutrinos |
| C | Observational data and experiments |
| Δ | Uncertainty in neutrino mass |