Mercy as the habitus of a self-giving love

This article is based on a statement regarding the Synod on the Family compiled by a research group at the Faculty of Catholic Theology of the University of Innsbruck.1 The arguments of this statement, which appear as a second part of this article, will be introduced by a focus on the significance of mercy as the fundamental option for a pastoral and missionary renewal of the Church as envisioned by Pope Francis, with an emphasis on anthropological, ecclesiological and doctrinal considerations.peer-reviewe

Generalized coordinates on the phase space of Yang-Mills theory

We study the suitability of complex Wilson loop variables as (generalized) coordinates on the physical phase space of $SU(2)$-Yang-Mills theory. To this end, we construct a natural one-to-one map from the physical phase space of the Yang-Mills theory with compact gauge group $G$ to a subspace of the physical configuration space of the complex G^\C-Yang-Mills theory. Together with a recent result by Ashtekar and Lewandowski this implies that the complex Wilson loop variables form a complete set of generalized coordinates on the physical phase space of $SU(2)$-Yang-Mills theory. They also form a generalized canonical loop algebra. Implications for both general relativity and gauge theory are discussed.Comment: TeX, 11pp, revised version (minor clarifications added, Comment after (2.9) inserted); to appear in Class. Quant. Grav

Vanishing cycles and mutation

This is the writeup of a talk given at the European Congress of Mathematics, Barcelona. It considers Picard-Lefschetz theory from the Floer cohomology viewpoint.Comment: 20 pages, LaTeX2e. TeXnical problem should now be fixed, so that the images will appear even if you download the .ps fil

PERBANDINGAN KEKUATAN BETON DENGAN CAMPURAN DRAMIX STEEL FIBER DAN TULANGAN WIREMESH PADA RIGID PAVEMENT

Concrete has weaknesses. Namely, it has low tensile strength and is brittle in nature, so that the concrete is given steel reinforcement to anticipate it. In this study, the concrete mixture was added with dramatic steel fiber. This addition was carried out to study and determine the effect of dramatic steel fiber on compressive strength, flexural strength in normal quality concrete with the addition of 0%, 10%, 20%, and 30% in compressive load. Testing is carried out after 28 days. Concrete with the addition of 30% dramatic steel fiber is more capable of producing high compressive strength values than others. The addition of dramatic steel fiber resulted in an average compressive strength of 0%, 29.07 MPa, 10%, 29.33 MPa, 20%, 29.40 MPa, 30%, 29.58 MPa. For concrete flexural strength in beam samples 15/15/60, the highest is in the concrete mixture, and the addition of dramatic steel fiber is 5.44 MPa, higher than the addition of wiremesh m8 reinforcing steel, which is 4.96 MPa. Beton mempunyai kelemahan yaitu mempunyai kuat tarik yang rendah dan bersifat getas (brittle) sehingga beton diberi tulangan baja untuk mengantisipasinya. Pada penelitian ini, campuran beton diberi bahan tambahan dramix steel fiber. Penambahan ini dilakukan untuk mempelajari dan mengetahui pengaruh dramix steel fiber terhadap kuat tekan, kuat lentur pada beton mutu normal dengan penambahan 0%, 10%, 20% dan 30% pada beban tekan. Pengujian dilakukan setelah 28 hari. Beton dengan penambahan dramix steel fiber 30% lebih mampu menghasilkan nilai kuat tekan tinggi dari pada yang lainya. Penambahan dramix steel fiber menghasilakan kuat tekan rata-rata yaitu 0%, 29,07 MPa ,10%, 29,33 MPa, 20%, 29,40 MPa, 30%,29,58 MPa. Untuk kuat lentur beton pada sampel balok 15/15/60 yang paling tinggi yaitu pada campuran beton dan penambahan dramix steel fiber sebesar 5,44 MPa, lebihtinggi dari pada penambahan besi tulangan wiremesh m8 yaitu sebesar 4,96 MPa.

Charged Particles in a 2+1 Curved Background

The coupling to a 2+1 background geometry of a quantized charged test particle in a strong magnetic field is analyzed. Canonical operators adapting to the fast and slow freedoms produce a natural expansion in the inverse square root of the magnetic field strength. The fast freedom is solved to the second order. At any given time, space is parameterized by a couple of conjugate operators and effectively behaves as the `phase space' of the slow freedom. The slow Hamiltonian depends on the magnetic field norm, its covariant derivatives, the scalar curvature and presents a peculiar coupling with the spin-connection.Comment: 22 page