38 citations · 382 across the 75 of their papers we have counts for
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Two-Dimensional Area and Matter Flux in the Theory of Causal Fermion Systems
Erik Curiel, Felix Finster, J. M. Isidro
The notions of two-dimensional area, Killing fields and matter flux are introduced in the setting of causal fermion systems. It is shown that for critical points of the causal acti…
On the contact geometry and the Poisson geometry of the ideal gas
P. Fernandez de Cordoba, J. M. Isidro
We elaborate on existing notions of contact geometry and Poisson geometry as applied to the classical ideal gas. Specifically we observe that it is possible to describe its dynamic…
Amplitude, phase, and complex analyticity
D. Cabrera, P. Fernandez de Cordoba, J. M. Isidro
Expressing the Schroedinger Lagrangian in terms of the quantum wavefunction yields the conserved Noether current . When $ψ…
Noncommutative space and the low-energy physics of quasicrystals
L. Monreal, P. Fernandez de Cordoba, A. Ferrando +1
We prove that the effective low-energy, nonlinear Schroedinger equation for a particle in the presence of a quasiperiodic potential is the potential-free, nonlinear Schroedinger eq…
Dirichlet branes and a cohomological definition of time flow
J. M. Isidro, P. Fernandez de Cordoba
Dirichlet branes are objects whose transverse coordinates in space are matrix-valued functions. This leads to considering a matrix algebra or, more generally, a Lie algebra, as the…
Wigner functions, Fresnel optics, and symplectic connections on phase space
J. M. Isidro
We prove that Wigner functions contain a symplectic connection. The latter covariantises the symplectic exterior derivative on phase space. We analyse the role played by this conne…
Quantum mechanics as a spontaneously broken gauge theory on a U(1) gerbe
J. M. Isidro
Any quantum-mechanical system possesses a U(1) gerbe naturally defined on configuration space. Acting on Feynman's kernel exp(iS/h), this U(1) symmetry allows one to arbitrarily pi…