10 citations · 44 across the 10 of their papers we have counts for
9 papers · 1 filter
A holographic map of action onto entropy
D. Acosta, P. Fernandez de Cordoba, J. M. Isidro +1
We propose a holographic correspondence between the action integral I describing the mechanics of a finite number of degrees of freedom in the bulk, and the entropy S of the bounda…
An entropic picture of emergent quantum mechanics
D. Acosta, P. Fernandez de Cordoba, J. M. Isidro +1
Quantum mechanics emerges a la Verlinde from a foliation of space by holographic screens, when regarding the latter as entropy reservoirs that a particle can exchange entropy with.…
On the noncommutative eikonal
J. M. Isidro, P. Fernandez de Cordoba, J. M. Rivera-Rebolledo +1
We study the eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions d…
Remarks on the representation theory of the Moyal plane
J. M. Isidro, P. Fernandez de Cordoba, J. M. Rivera-Rebolledo +1
We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.
On the Ricci flow and emergent quantum mechanics
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
The Ricci flow equation of a conformally flat Riemannian metric on a closed 2-dimensional configuration space is analysed. It turns out to be equivalent to the classical Hamilton-J…
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…