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The study of the angular power spectrum of Cosmic Microwave Background (CMB) anisotropies, both in intensity and in polarisation, has led to the tightest constraints on cosmological parameters. However, this statistical quantity is not…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-08 Javier Carrón Duque , Alessandro Carones , Domenico Marinucci , Marina Migliaccio , Nicola Vittorio

The concept of pseudo-spin provides a general framework for describing physical systems featuring two-component spinors, including light polarization, sublattice degrees of freedom in bipartite lattices, and valley polarization in 2D…

The study of the linear and circular polarization in AGN allows one to gain detailed information about the properties of the magnetic fields in these objects. However, especially the observation of circular polarization (CP) with…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 E. Cenacchi , A. Kraus , A. Orfei , K. -H. Mack

We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point…

Astrophysics · Physics 2009-10-28 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

Spin-weighted spheroidal harmonics are useful in a variety of physical situations, including light scattering, nuclear modeling, signal processing, electromagnetic wave propagation, black hole perturbation theory in four and higher…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Emanuele Berti , Vitor Cardoso , Marc Casals

We consider versions of the Penrose singularity theorem and the Hawking horizon topology theorem in weighted spacetimes that contain weighted versions of trapped surfaces, for arbitrary spacetime dimension and synthetic dimension. We find…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Eric Ling , Argam Ohanyan , Eric Woolgar

X-ray polarimetry promises to deliver unique information about the geometry of the inner accretion flow of astrophysical black holes and the nature of matter and electromagnetism in and around neutron stars. In this paper, we discuss the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 F. Kislat , B. Clark , M. Beilicke , H. Krawczynski

We discuss statistical and physical properties of cosmic microwave background polarization, both in Fourier and in real space. The latter allows for a more intuitive understanding of some of the geometric signatures. We present expressions…

Astrophysics · Physics 2007-05-23 Uros Seljak , Matias Zaldarriaga

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary…

High Energy Physics - Theory · Physics 2015-01-26 Miguel S. Costa , Joao Penedones , David Poland , Slava Rychkov

In the previous paper [arXiv:2210.10435], the nonlinear perturbation theory of cosmological density field is generalized to include the tensor-valued bias of astronomical objects, such as spins and shapes of galaxies and any other tensors…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-23 Takahiko Matsubara

The polarizability measures how the system responds to an applied electrical field. Computationally, there are many different ways to evaluate this tensorial quantity, some of which rely on the explicit use of the external perturbation and…

Materials Science · Physics 2007-10-16 Micael J. T. Oliveira , Alberto Castro , Miguel A. L. Marques , Angel Rubio

We expand on our previous study of the impact of atmospheric seeing on polarization cross-talk, and show how the formalism that was developed in that work can be applied to treat the case of spatial modulators of polarization. Beside…

Instrumentation and Methods for Astrophysics · Physics 2026-02-17 Roberto Casini , Alfred G. de Wijn

Quantitative thermodynamical, dynamical and magnetic properties of the solar and stellar plasmas are obtained by interpreting their emergent non-polarized and polarized spectrum. This inference requires the selection of a set of spectral…

Solar and Stellar Astrophysics · Physics 2016-05-25 A. Asensio Ramos , J. de la Cruz Rodriguez , M. J. Martinez Gonzalez , A. Pastor Yabar

Black holes are the natural arena for exploring the interplay between gravity and thermodynamics. Although the association between black hole mechanics and black hole thermodynamics is well-established, the comprehensive geometric…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Diego Fernández-Silvestre , Alberto Guilabert , Pedro Bargueño , Juan A. Miralles

We present a finite difference version of the eth formalism, which allows use of tensor fields in spherical coordinates in a manner which avoids polar singularities. The method employs two overlapping stereographic coordinate patches, with…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Gomez , L. Lehner , P. Papadopoulos , J. Winicour

Properties of spin polarized isospin asymmetric nuclear matter are studied within the framework of the Brueckner--Hartree--Fock formalism. The single-particle potentials of neutrons and protons with spin up and down are determined for…

Nuclear Theory · Physics 2009-11-07 I. Vidana , I. Bombaci

Recent cosmic microwave background data in temperature and polarization have reached high precision in estimating all the parameters that describe the current so-called standard cosmological model. Recent results about the integrated…

A model of dynamic orientation using optimized radiofrequency (RF) irradiation produced perpendicular to the holding field is developed for the spin-1 system required for tensor-polarized fixed-target experiments. The derivation applies to…

Nuclear Theory · Physics 2017-07-25 Dustin Keller

Polarization of the cosmic microwave background, though not yet detected, provides a source of information about cosmological parameters complementary to temperature fluctuations. This paper provides a complete theoretical treatment of…

Astrophysics · Physics 2014-10-13 Arthur Kosowsky

The Algebra of Physical Space (APS) is used to explore the Constructive Standard Model (CSM) of particle physics. Namely, this paper connects the spinor formalism of the APS to massive amplitudes in the CSM. A novel equivalency between…

High Energy Physics - Phenomenology · Physics 2026-01-26 Moab Croft , Neil Christensen