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Safety assurance is of paramount importance across various domains, including automotive, aerospace, and nuclear energy, where the reliability and acceptability of mission-critical systems are imperative. This assurance is effectively…

In this thesis we investigate various fundamental aspects of asymptotically safe quantum gravity, in particular the compatibility of Asymptotic Safety with the requirements for background independence and unitarity. The first part contains…

High Energy Physics - Theory · Physics 2017-01-31 Andreas Nink

While port-Hamiltonian descriptor systems are known to be stable and passive, they may not be asymptotically stable or strictly passive. Necessary and sufficient conditions are presented when these properties as well as the regularity and…

Optimization and Control · Mathematics 2024-12-25 Delin Chu , Volker Mehrmann

Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background independence also…

General Relativity and Quantum Cosmology · Physics 2012-03-12 Ghanashyam Date , Golam Mortuza Hossain

We present a concise review of the status of the Standard Model and of the search for new physics.

High Energy Physics - Phenomenology · Physics 2008-12-22 Guido Altarelli

The current status of asteroseismic studies is here reviewed and the adequate techniques of analysis available today for the study of the oscillation frequencies are presented. Comments on prospects for future investigations through the…

Solar and Stellar Astrophysics · Physics 2012-12-21 M. P. Di Mauro

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

We propose a new numerical technique for following the evolution of a self-gravitating collisionless system in general relativity. Matter is modeled as a scalar field obeying the coupled Klein-Gordon and Einstein equations. A phase space…

Astrophysics · Physics 2009-10-28 Lawrence M. Widrow

This is a review of the status of efforts to model the large-scale Galactic magnetic field (GMF). Though important for a variety of astrophysical processes, the GMF remains poorly understood despite some interesting new tracers being used…

Astrophysics of Galaxies · Physics 2019-05-14 Tess R. Jaffe

The mass production of complex software has made it impossible to manually test it for security vulnerabilities. Automated security testing tools come in a variety of flavors, function at various stages of software development, and target…

Software Engineering · Computer Science 2023-01-18 Yan Wu , Jingyi Su , David D. Moran , Chris D. Near

The Born-Oppenheimer approach to the matter-gravity system is illustrated and the unitary evolution for matter, in the absence of phenomena such as tunnelling or other instabilities, verified. The Born-Oppenheimer approach to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bertoni , F. Finelli , G. Venturi

We consider a cosmology in which the final stage of the Universe is neither accelerating nor decelerating, but approaches an asymptotic state where the scale factor becomes a constant value. In order to achieve this, we first bring in a…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Seyen Kouwn , Joohan Lee , Tae Hoon Lee , Taeyoon Moon , Phillial Oh

We consider the inclusion of TeV-scale, fermionic dark matter in an asymptotically safe model of gauged baryon number that has been recently proposed [Phys. Rev. D 106, no. 3, 035015 (2022)]. The new gauge boson serves as a portal between…

High Energy Physics - Phenomenology · Physics 2023-03-08 Jens Boos , Christopher D. Carone , Noah L. Donald , Mikkie R. Musser

We discuss asymptotic safety in four-dimensional $\mathcal{N} = 1$ supersymmetric gauge theories. Our main conclusion is that in a reasonable definition of this phenomenon there are currently no controlled examples of it; there are reasons…

High Energy Physics - Theory · Physics 2018-06-08 Meseret Asrat

Numerical relativity has come a long way in the last three decades and is now reaching a state of maturity. We are gaining a deeper understanding of the fundamental theoretical issues related to the field, from the well posedness of the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Miguel Alcubierre

The status of the new standard model is briefly surveyed, with emphasis on experimental tests, unique features, theoretical problems, necessary extensions, and possible TeV signatures of Planck scale physics.

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Langacker

We explore whether perturbative interacting fixed points in matter systems can persist under the impact of quantum gravity. We first focus on semi-simple gauge theories and show that the leading order gravity contribution evaluated within…

High Energy Physics - Theory · Physics 2017-10-18 Nicolai Christiansen , Astrid Eichhorn , Aaron Held

There are deep analogies between Einstein's theory of gravity and the nonlinear sigma models. It is suggested that these similarities may extend also to the ultraviolet behaviour, in the sense that both theories could turn out to be…

High Energy Physics - Theory · Physics 2011-08-17 R. Percacci

Under the hypothesis of asymptotic safety of gravity, the static, spherically symmetric black hole solutions in the infrared limit are corrected by non-perturbative effects. Specifically, the metric is modified by the running of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Dao-Jun Liu , Bin Yang , Yong-Jia Zhai , Xin-Zhou Li