6 papers
Visualisation of spherical harmonics in Peirce's quincuncial projection
Bjoern Malte Schaefer
The spherical harmonics are complex-valued functions on the surface of a sphere, and have found widespread application in physics and astronomy. Every physics s…
Lagrangian neural ODEs: Measuring the existence of a Lagrangian with Helmholtz metrics
Luca Wolf, Tobias Buck, Bjoern Malte Schaefer
Neural ODEs are a widely used, powerful machine learning technique in particular for physics. However, not every solution is physical in that it is an Euler-Lagrange equation. We p…
Markov Walk Exploration of Model Spaces: Bayesian Selection of Dark Energy Models with Supernovae
Benedikt Schosser, Tobias Röspel, Bjoern Malte Schaefer
Central to model selection is a trade-off between performing a good fit and low model complexity: A model of higher complexity should only be favoured over a simpler model if it pr…
Friedmann-Robertson-Walker spacetimes from the perspective of geometric algebra
Pablo Banon Perez, Bjoern Malte Schaefer, Maarten DeKieviet
The intention of our paper is to provide a pedagogical application of geometric algebra to a particularly well-investigated system: We formulate the geometric and dynamical propert…
On the full non-Gaussian Surprise statistic and the cosmological concordance between DESI, SDSS and Pantheon+
Pedro Riba Mello, Miguel Quartin, Bjoern Malte Schaefer +1
With the increasing precision of recent cosmological surveys and the discovery of important tensions within the CDM paradigm, it is becoming more and more important to develop…
Bayesian distances for quantifying tensions in cosmological inference and the surprise statistic
Benedikt Schosser, Pedro Riba Mello, Miguel Quartin +1
Tensions between cosmological parameters derived through different channels can be a genuine signature of new physics that CDM as the standard model is not able to reproduce, i…