Cohomology of parallelized n-manifolds carries a natural homotopy involutive n-Frobenius structure extending the rational homotopy type, via Quillen equivalence to n-Poisson cooperad comodules.
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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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Sound and complete axiomatizations are provided for path-reachability logic with Cantor derivative in T1 topologies and metric spaces, with decidability via neighborhood semantics that yields the finite model property.
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Mazur and Jester manifolds have pairwise nonhomeomorphic boundaries via an octahedral hyperbolic structure, Dehn filling, and systolic geodesics, distinguishing their contractible 4-manifolds.
Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.
An active learning method based on E-SINDy identifies governing ODEs and PDEs accurately with significantly fewer data samples than random sampling across tested systems.
Effective scalaron-photon coupling in f(R) gravity vanishes in the light-scalaron limit due to cancellation of anomaly-induced and diagrammatic contributions.
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DAML is a new dynamic modal logic that derives conditional obligations in multi-agent settings by combining action models with deontic value maximization over outcomes.
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.
Therm-FM adapts a pretrained PDE foundation model using thermal-equivalent multi-fidelity training to achieve up to 10.6x lower error in 3D-IC thermal simulation with under 20% of typical training data and strong cross-design transfer.
A clustering system C is the hardwired clustering system of a rooted level-k network if and only if μ(B) ≤ k for every non-trivial block B in the Hasse diagram H[C].
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Sampling (noisy) quantum circuits through randomized rounding
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Probing metric fluctuations with the spin of a particle in a quantum simulation
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Is Lindblad for me?
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Cryogenic Systems for Quantum Photonic Technologies: A Practical Review
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Two-exponential decay of Acridine Orange
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