38 citations · 382 across the 75 of their papers we have counts for
5 papers · 1 filter
A mechanics for the Ricci flow
S. Abraham, P. Fernandez de Cordoba, J. M. Isidro +1
We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci fl…
Ricci flow, quantum mechanics and gravity
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
It has been argued that, underlying any given quantum-mechanical model, there exists at least one deterministic system that reproduces, after prequantisation, the given quantum dyn…
A note on the quantum-mechanical Ricci flow
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
We obtain Schroedinger quantum mechanics from Perelman's functional and from the Ricci flow equations of a conformally flat Riemannian metric on a closed 2-dimensional configuratio…
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…
A note on the quantum of time
J. M. Isidro, J. L. Gonzalez-Santander, P. Fernandez de Cordoba
Quantum mechanics rests on the assumption that time is a classical variable. As such, classical time is assumed to be measurable with infinite accuracy. However, all real clocks ar…