Fabian Wagner

Fabian Wagner
University of Szczecin · Cosmology Group

Master of Science

About

21
Publications
812
Reads
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78
Citations
Education
September 2017 - September 2018
University of Barcelona
Field of study
  • Particle Physics and Gravitation
October 2012 - April 2015
Freie Universität Berlin
Field of study
  • Physics

Publications

Publications (21)
Preprint
Full-text available
In this work we uncover the intimate relation between curved momentum space and momentum gauge fields. While the former concept has found consideration for some time and been shown to be tied to minimal-length models, the latter constitutes a relatively recent development in quantum gravity phenomenology. In particular, the gauge principle in momen...
Preprint
Full-text available
Different approaches to quantum gravity converge in predicting the existence of a minimal scale of length. This raises the fundamental question as to whether and how an intrinsic limit to spatial resolution can affect quantum mechanical observables associated to internal degrees of freedom. We answer this question in general terms by showing that t...
Preprint
Full-text available
In this work, we deepen the correspondence between Generalized Uncertainty Principles (GUPs) and quantum dynamics on curved momentum space. In particular, we investigate the linear and quadratic GUP. Similarly to earlier work, the resulting curvature tensor in the dual theory is proportional to the coordinate non-commutativity of the original formu...
Preprint
Full-text available
Quantum gravity is the missing piece in our understanding of the fundamental interactions today. Given recent observational breakthroughs in gravity, providing a quantum theory for what lies beyond general relativity is more urgent than ever. However, the complex history of quantum gravity and the multitude of available approaches can make it diffi...
Preprint
Full-text available
Minimal and maximal uncertainties in length measurements are widely considered possible hallmarks of low-energy quantum as well as classical gravity. While General Relativity describes the interaction in terms of spatial curvature, its quantum analogue may also extend to the realm of curved momentum space as suggested, e. g. in the context of Relat...
Preprint
In this paper, we clarify a foundational loose end affecting the phenomenological approach to quantum gravity centered around the generalization of Heisenberg uncertainty principle. This misconception stems from a series of recently published works in which perturbative and non-perturbative methods are confused, thereby resulting in a blurring of t...
Article
Full-text available
In the present article we point out a conceptual issue of the Third Quantization formalism for Canonical Quantum Gravity. Based on earlier results on interuniversal entanglement, the theory and with it the picture of noninteracting universe-antiuniverse pairs is incomplete. In particular, the variation of the entanglement entropy with the scale fac...
Preprint
Full-text available
In the present article we point out a conceptual issue of the Third Quantization formalism for Canonical Quantum Gravity. Based on earlier results on interuniversal entanglement, the theory and with it the picture of noninteracting universe-antiuniverse pairs is incomplete. In particular, the variation of the entanglement entropy with the scale fac...
Article
The investigations presented in this study are directed at relativistic modifications of the uncertainty relation derived from the curvature of the background spacetime. These findings generalize previous work that is recovered in the nonrelativistic limit. Applying the 3+1 splitting in accordance with the ADM formalism, we find the relativistic ph...
Preprint
Full-text available
The minimum length paradigm, a cornerstone of quantum gravity phenomenology, and quantum theories on nontrivial momentum space have recently been brought into explicit correspondence. However, owing to the fact that coordinate transformations introduce additional position-dependence to the otherwise solely momentum-dependent metric, there is no ful...
Article
The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on the other hand, is at the heart of similar applications such as doubly special relativity. We introduce a duality between theories yielding generalized...
Preprint
Full-text available
The investigations presented in this study are directed at relativistic modifications of the uncertainty relation derived from the curvature of the background spacetime. These findings generalize previous work which is recovered in the nonrelativistic limit. Applying the 3+1-splitting in accordance with the ADM-formalism, we find the relativistic p...
Preprint
The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on the other hand, is at the heart of similar applications such as doubly special relativity. We introduce a duality between theories yielding generalized...
Article
This paper aims at investigating the influence of space-time curvature on the uncertainty relation. In particular, relying on previous findings, we assume the quantum wave function to be confined to a geodesic ball on a given spacelike hypersurface whose radius is a measure of the position uncertainty. On the other hand, we concurrently work out a...
Poster
Full-text available
The formalism presented on this poster allows for the perturbative derivation of the Extended Uncertainty Principle using the non-relativistic limit of the 3+1 formalism. The leading curvature induced correction depends to the Ricci scalar of the effective 3-metric and the corresponding co-variant derivative of the shift vector. This method can be...
Preprint
Full-text available
This paper aims at investigating the influence of space-time curvature on the uncertainty relation. In particular, relying on previous findings, we assume the quantum wave function to be confined to a geodesic ball on a given space-like hypersurface whose radius is a measure of the position uncertainty. On the other hand, we concurrently work out a...
Article
Full-text available
We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers. Entering the realm of small position uncertainties, we derive a general asymptotic EUP. The leading 2nd order curvature induced correction is proportional to the Ricci scalar, while th...
Preprint
Full-text available
We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers. Entering the realm of small position uncertainties, we derive a general asymptotic EUP. The leading 2nd order curvature induced correction is proportional to the Ricci scalar, while th...
Article
Full-text available
We find exact formulas for the Extended Uncertainty Principle (EUP) for the Rindler and Friedmann horizons and show that they can be expanded to obtain asymptotic forms known from the previous literature. We calculate the corrections to Hawking temperature and Bekenstein entropy of a black hole in the universe due to Rindler and Friedmann horizons....
Preprint
Full-text available
We find exact formulas for the Extended Uncertainty Principle (EUP) for the Rindler and Friedmann horizons and show that they can be expanded to obtain asymptotic forms known from the previous literature. We calculate the corrections to Hawking temperature and Bekenstein entropy of a black hole in the universe due to Rindler and Friedmann horizons....

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