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  • background for gravitating objects. For comprehensive reviews of effective field theory in a variety of physical contexts relevant to the current problem, see the recent textbook by Burgess [110], as well as the review articles by Pich [111], Donoghue [112, 113], Kaplan [114], Rothstein [115-117], Burgess [118], Goldberger [119-121], Porto [122], Manohar [123], Levi [124], and Penco [125]. A note on language: The EFT approach was pioneered in particle physics. In particle physics the expansion parameter is
  • background r= 3r s/2−ϵwithϵgoing quickly to zero with increasingℓ, as we see from only the first two modes. 3.2. Kerr 3.2.1. Geometry Black holes in the real world rotate, which is not accounted for in the spherically-symmetric Schwarzschild solution (3.1). Schwarzschild had derived his metric within months of the publication of Einstein's field equations, while it took nearly a half century for Kerr to find its spinning generalization [235]. Here we will summarize salient features of the Kerr solution; se
  • background Importantly, the sum of all angular momenta,ℓ1 +ℓ2 +ℓ3 +···, must be even. Starting fromO(E4), however, for a fixed set of angular momenta(ℓ1ℓ2···ℓn+1), multiple independent coefficients may arise. The precise counting of inequivalent contractions and independent Wilson coefficients follows from standard group-theoretic arguments, see e.g., Refs. [183, 189, 190]. 2.3. Examples of EFT calculations and matching The effective field theory(2.9) is completely general and, as long as one is concerned
  • method and all upper bounds at the 95 % CL. The e ffectiveχ2 value of model n is given relative to model n− 1. Parameters Prior type Prior range N Discrete uniform [0 , 8] ln V∗ Uniform [ −25,−15] d ln V∗/dφ Log-uniform [10 −3, 10−0.3] d2ln V1/dφ2,..., d2ln VN/dφ2 Uniform [ −0.5, 0.5] φ1,...,φ N Sorted uniform [ ˜φmin, ˜φmax ] ln 1010PR(k) Indirect constraint [2 , 4] Table 9. Parameters of the free-form potential reconstruction analysis and details of the priors. There is a further prior con- straint in

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Collision Resistance of Single-Layer Neural Nets

cs.CR · 2026-06-02 · unverdicted · novelty 8.0

A threshold κ=Θ(1/√α) (α=m/n) separates easy collision finding from OGP-based exponential lower bounds against online algorithms in single-layer binary NNs.

Preisach Attention: A Hysteretic Model of Sequential Memory

cs.LG · 2026-05-22 · unverdicted · novelty 8.0

PAL uses the classical Preisach hysteresis operator with learned thresholds and an extrema stack to model sequences, proving O(1)-depth Turing completeness via two-stack PDA simulation and incomparability with standard transformers on rate-independent vs. random-access functions.

Univalence without function extensionality

cs.LO · 2026-05-01 · unverdicted · novelty 8.0

Categorical univalence of a universe does not entail function extensionality, as shown by polynomial models of type theory that refute the latter while satisfying the former.

Denoising Distances in Metric Measure Spaces

cs.CG · 2026-06-16 · unverdicted · novelty 7.0

An efficient algorithm extracts clusters to denoise distances to fixed accuracy in metric measure spaces under lower phi-regularity, with a non-efficient method for higher accuracy indicating a statistical-computational gap unlike the Riemannian case.

Mazur's knot and the Octahedron

math.GT · 2026-06-15 · unverdicted · novelty 7.0

Mazur and Jester manifolds have pairwise nonhomeomorphic boundaries via an octahedral hyperbolic structure, Dehn filling, and systolic geodesics, distinguishing their contractible 4-manifolds.

Speculative Sampling For Faster Molecular Dynamics

cs.LG · 2026-06-01 · unverdicted · novelty 7.0

LSD extends speculative sampling to second-order Langevin dynamics, achieving 3-9x speedup in MD while exactly sampling from the target distribution without relative error.

Variational Free Energy Pivot Selection for Pivoted Cholesky

math.NA · 2026-06-01 · unverdicted · novelty 7.0

Introduces Δ-VFE pivoted Cholesky, a pivot rule maximizing the one-step gain in a VFE functional for kernel matrices via closed-form decomposition and batch sampling, yielding improved GP objective values and accuracy at low ranks.

Brain-LLM Alignment Tracks Training Data, Not Typology

cs.CL · 2026-05-21 · unverdicted · novelty 7.0

Training-language dominance, not English inherent properties, determines brain-LLM alignment across English, Chinese, and French, with additional independent effects from typological distance concentrated in syntactic brain regions.

Robustly transitive behavior in symplectic dynamics

math.DS · 2026-05-15 · unverdicted · novelty 7.0

Under a domination condition, real-analytic deformations of symplectomorphism products yield large robustly transitive sets and new non-uniformly-hyperbolic examples via blender-horseshoe perturbations and control-theory ideas.

Categorical (Co)Limits of Quantum Graphs

math.OA · 2026-05-13 · unverdicted · novelty 7.0

Quantum graphs are redefined as left ideals in the extended Haagerup tensor product, enabling representation-independent morphisms and categorical (co)limits.

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