11 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…
Torsional Carroll Gravity
P. Concha, N. Merino, L. Ravera +1
The ultra-relativistic (Carrollian) regime of gravity has recently emerged as a fertile framework for exploring holography, non-Lorentzian symmetries, and geometric limit of Genera…
Spacetime boundaries do not break diffeomorphism and gauge symmetries
J. François, L. Ravera
In General Relativity and gauge field theory, one often encounters a claim, which may be called the boundary problem, according to which "boundaries break diffeomorphism and gauge…
Mechanics as a general-relativistic gauge field theory, and Relational Quantization
J. François, J. François, L. Ravera
We treat the Mechanics of point particles as a 1-dimensional general-relativistic gauge field theory, which may be referred to as Mechanical Field Theory (MFT), exploiting the bund…
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…