7 papers
Relational bundle geometric formulation of non-relativistic quantum mechanics
J. François, L. Ravera
We present a bundle geometric formulation of non-relativistic many-particles Quantum Mechanics. A wave function is seen to be a -valued cocyclic tensorial 0-form on con…
Toward Manifest Relationality in Transformers via Symmetry Reduction
J. François, L. Ravera
Transformer models contain substantial internal redundancy arising from coordinate-dependent representations and continuous symmetries, in model space and in head space, respective…
Raising galaxy rotation curves via dressing
J. François, L. Ravera
We present a manifestly diffeomorphism-invariant simple model of galaxy dynamics obtained by applying the Dressing Field Method (DFM) to a general-relativistic system comprising th…
Off-shell supersymmetry via manifest invariance
J. François, L. Ravera
A fundamental challenge in supersymmetric field theory is that supersymmetry transformations on field variables generally form an algebra only on-shell, i.e. upon imposing the fiel…
Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework
J. François, L. Ravera
Relationality is the paradigmatic conceptual core of general-relativistic gauge field theory. It can be made manifest via the Dressing Field Method (DFM) of symmetry reduction, a s…
Reassessing the foundations of Metric-Affine Gravity
J. François, L. Ravera
We reassess foundational aspects of Metric-Affine Gravity (MAG) in light of the Dressing Field Method, a tool allowing to systematically build gauge-invariant field variables. To g…