44 KiB
ArXiv Findings — Auto-Mapped to Unified Equation
Generated: 2026-05-05T08:12:27.891773 Papers: 50 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
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 | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
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 | observed phenomenon / measured quantity |
| Ψ | theoretical mechanism / operator |
| B | conserved basis / fundamental component |
| C | dynamic context / variable parameter |
| Δ | residual error / noise / uncertainty |
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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
21. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
22. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
23. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
24. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
25. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
26. 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 | model output / decision |
| Ψ | optimization / inference |
| B | weights / data |
| C | prompt / input |
| Δ | generalization gap |
27. 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 | model output / decision |
| Ψ | optimization / inference |
| B | weights / data |
| C | prompt / input |
| Δ | generalization gap |
28. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
29. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
30. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
31. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
32. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
33. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
34. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
35. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
36. 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 | model output / decision |
| Ψ | optimization / inference |
| B | weights / data |
| C | prompt / input |
| Δ | generalization gap |
37. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
38. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
39. 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 | model output / decision |
| Ψ | optimization / inference |
| B | weights / data |
| C | prompt / input |
| Δ | generalization gap |
40. 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 | measured eigenvalue |
| Ψ | quantum evolution / collapse |
| B | quantum state basis |
| C | measurement apparatus |
| Δ | uncertainty / decoherence |
41. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
42. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
43. 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 | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
44. Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics
Source: http://arxiv.org/abs/2605.02429v1 (2026)
Summary: We investigate black hole thermodynamics within Tsallis non-extensive statistical mechanics using a near-horizon photon-gas model. We derive a $q$-generalized entropy for Reissner--Nordström black holes that is consistent with the area law while incorporating long-range gravitational correlations via the non-extensivity parameter q. The resulting thermodynamics exhibits three branches (small, intermediate, and large black holes) with Van der Waals-like phase transitions characterized by mean-f
| Symbol | Mapping |
|---|---|
| Ω | phenotype / trait |
| Ψ | gene expression / evolution |
| B | DNA sequence / protein |
| C | regulatory context / environment |
| Δ | mutation / drift |
45. Investigating cosmic distance duality and dark energy evolution through intermediate and high-z probes
Source: http://arxiv.org/abs/2605.02428v1 (2026)
Summary: We investigate deviations from the cosmic distance duality relation adopting model-dependent and -independent approaches using i) a Taylor expansion, ii) a power-law parameterization, iii) a logarithmic correction, iv) a (2;1) Padé polynomial and v) a second order Chebyshev parameterization. We derive constraints on all parameters using observational Hubble data, galaxy clusters, type Ia supernovae, DESI data and gamma-ray bursts. Through Monte-Carlo Markov chain analyses adopting the Metropolis
| Symbol | Mapping |
|---|---|
| Ω | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
46. Bondi and Novikov-Thorne accretion in regular black holes and Simpson-Visser spacetimes
Source: http://arxiv.org/abs/2605.02425v1 (2026)
Summary: We compare the Bondi spherical accretion model and the Novikov-Thorne thin disc formalism around regular black holes and Simpson-Visser spacetimes, using several equations of state for the accreting fluids. The Bondi model is significantly more sensitive to spacetime geometry and the equation of state, making it more effective at distinguishing between regular and classical solutions. For the Simpson-Visser solutions, however, increasing the regularisation parameter, \ell, shifts critical poin
| Symbol | Mapping |
|---|---|
| Ω | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
47. The Impact of the Magnetised Cosmic Web on Ultra High Energy Cosmic Ray Propagation
Source: http://arxiv.org/abs/2605.02324v1 (2026)
Summary: The origin of ultra-high-energy cosmic rays (UHECRs) remains an open question. Extragalactic magnetic fields can modify their propagation and, at sufficiently low energies, suppress the observed flux through the magnetic horizon (MH) effect.} {We quantify the impact of the MH on the propagation of UHECR protons using cosmological simulations and a dedicated numerical framework that follows cosmic rays in a time-evolving background.} {We use \texttt{UMAREL}, a parallel code developed for this stu
| Symbol | Mapping |
|---|---|
| Ω | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
48. Beyond collective fluctuations: probing micro-image swarms in lensed quasars with intensity interferometry
Source: http://arxiv.org/abs/2605.02181v1 (2026)
Summary: Each strongly lensed image of a quasar behind a lensing galaxy (or galaxy cluster) is composed of a swarm of micro-images. This is a result of microlensing due to stellar-scale substructure in the lens. The presence of microlenses forms a network of micro-caustics, and a source transiting these micro-caustics gives rise to variation in observed strongly lensed images. These micro-image swarms are currently observable only through collective intensity fluctuations, which hide the underlying infor
| Symbol | Mapping |
|---|---|
| Ω | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
49. Constraints on Ultralight Scalar and Dark Photon Dark Matter from PPTA-DR3 and EPTA-DR2
Source: http://arxiv.org/abs/2605.02172v1 (2026)
Summary: The cold dark matter model successfully describes the Universe on large scales, yet faces challenges at sub-galactic scales. Ultralight dark matter (ULDM), with particle masses around 10^{-22} \mathrm{eV}, offers a promising solution to these small-scale issues. Pulsar Timing Arrays (PTAs), designed to detect nanohertz gravitational waves, can also provide a sensitive probe for ULDM signals. In this work, we perform a Bayesian search for ULDM using PTA data sets, focusing on two types of signa
| Symbol | Mapping |
|---|---|
| Ω | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |
50. Helicity-dependent corrections to black-hole shadows from the gravitational spin Hall effect
Source: http://arxiv.org/abs/2605.02136v1 (2026)
Summary: Black-hole shadows are purely geometric in the leading-order geometric-optics approximation: their boundary is set by null geodesics and carries no information about the polarization of the probing radiation. This changes at subleading order. We show that the gravitational spin Hall effect of light shifts the critical impact parameter governing photon capture by a helicity-dependent amount, causing polarized radiation with opposite helicities to trace slightly different shadow boundaries -- even
| Symbol | Mapping |
|---|---|
| Ω | gravitational signal |
| Ψ | GR / cosmological model |
| B | spacetime metric |
| C | mass distribution |
| Δ | quantum foam / noise |