27 citations · 149 across the 24 of their papers we have counts for
24 papers
On Penrose's theory of objective gravitationally induced wave function reduction
Ricardo Gallego Torromé
The formal structure of Penrose's gravitationally induced reduction of the wave function mechanism is analyzed. It is shown that pushing Penrose's argument forward leads to the int…
A note on Clifford bundles and certain Finsler type spaces
Ricardo Gallego Torromé
We study a relation between certain extensions of the Clifford bundle and Finsler type structures that naturally generalize the standard Clifford relation between (pseudo)-Riemanni…
Average of geometric structures in Finsler spaces with Lorentzian signature
Ricardo Gallego Torromé
Given the class of Finsler spaces with Lorentzian signature on a manifold endowed with a timelike vector field satisfying $g_{(x,y)}(\mathcal{X},\mathcal{…
Quotient rings and fields of integers from the metric geometry point of view
Ricardo Gallego Torromé
The theory of Gromov-Hausdorff convergence is applied to sequences of quotient rings of integers, leading to the existence of limit rings as the Gromov-Hausdorff limits. It is also…
General theory of non-reversible local dynamics
Ricardo Gallego Torromé
A general theory of dynamics is formulated with the aim of its application in emergent quantum mechanics. In such a framework it is argued that the fundamental dynamics of emergent…
Introduction to quantum radar
Ricardo Gallego Torromé, Nadya Ben Bekhti-Winkel, Peter Knott
After a brief introduction to the notion of quantum entanglement and quantum correlations, several schemes for a quantum radar based upon the quantum illumination and others protoc…
On the origin of the weak equivalence principle in a theory of emergent quantum mechanics
Ricardo Gallego Torromé
We argue that in a framework for emergent quantum mechanics, the weak equivalence principle is a consequence of concentration of measure in large dimensional spaces of -Lipshitz…
Maximal acceleration geometries and spacetime curvature bounds
Ricardo Gallego Torromé
A geometric framework for metrics of maximal acceleration which is applicable to large proper accelerations is discussed, including a theory of connections associated with the geom…
Some consequences of theories with maximal acceleration in laser-plasma acceleration
Ricardo Gallego Torromé
In this paper we consider classical electrodynamic theories with maximal acceleration and some of their phenomenological consequences for laser-plasma acceleration. It is shown tha…
Theories with maximal acceleration
Ricardo Gallego Torromé, Piero Nicolini
Maximal accelerations are related to the existence of a minimal time for a given physical system. Such a minimal time can be either an intrinsic time scale of the system or connect…
On singular generalized Berwald spacetimes and the equivalence principle
Ricardo Gallego Torromé
The notion of singular generalized Finsler spacetime and singular generalized Berwald spacetime are introduced and their relevance for the description of classical gravity discusse…
Phenomenology of effective geometries from quantum gravity
Ricardo Gallego Torromé, Marco Letizia, Stefano Liberati
In a recent paper (arXiv:1412.6000) a general mechanism for emergence of cosmological space-time geometry from a quantum gravity setting was devised and departure from standard dis…
Emergence of classical gravity and the objective reduction of the quantum state in deterministic models of quantum mechanics
Ricardo Gallego Torromé
Models for deterministic quantum mechanics of Cartan-Randers type are introduced, together with the fundamental notions of the concentration of measure theory. We explain how the a…
An effective theory of metrics with maximal acceleration
Ricardo Gallego Torromé
A geometric theory for spacetimes whose world lines associated with physical particles have an upper bound for the proper acceleration is developed. After some fundamental remarks…
, , operations and classical point charged particle dynamics
Ricardo Gallego Torromé
The action of parity inversion, time inversion and charge conjugation operations on several differential equations for a classical point charged particle are described. Moreover, w…
Foundations for a theory of emergent quantum mechanics and emergent classical gravity
Ricardo Gallego Torromé
Quantum systems are viewed as emergent systems from the fundamental degrees of freedom. The laws and rules of quantum mechanics are understood as an effective description, valid fo…
On the Lie group structure of pseudo-Finsler isometries
Ricardo Gallego Torromé, Paolo Piccione
Using an extension to isometries of the associated Sasaki structure, we establish a Lie transformation group structure for the set of isometries of a pseudo-Finsler conical metric.
Geometry of generalized higher order fields and applications to classical linear electrodynamics
Ricardo Gallego Torromé
Motivated by obtaining a consistent mathematical description for the radiation reaction of point charged particles in linear classical electrodynamics, a theory of generalized high…
Averaged dynamics of ultra-relativisitc charged particles beams
Ricardo Gallego Torromé
In this thesis, we consider the suitability of using the charged cold fluid model in the description of ultra-relativistic beams. The method that we have used is the following. Fir…
On the tensorial properties of the generalized Jacobi equation
Matias F. Dahl, Ricardo Gallego Torromé
The generalized Jacobi equation is a differential equation in local coordinates that describes the behavior of infinitesimally close geodesics with an arbitrary relative velocity.…
On Fermat's principle for causal curves in time oriented Finsler spacetimes
Ricardo Gallego Torromé, Paolo Piccione, Henrique Vitório
In this work, a version of Fermat's principle for causal curves with the same energy in time orientable Finsler spacetimes is proved. We calculate the secondvariation of the {\it t…
On the convex invariance in Finsler geometry
Ricardo Gallego Torromé
As a natural application of the {\it theory of geometric averaging} in Finsler geometry and generalized Finsler geometry, a new approach to investigate {\it generalized Finsler geo…
Average structures associated with a Finsler space
Ricardo Gallego Torromé
Given a Finsler space (M,F) on a manifold M, the averaging method associates to Finslerian geometric objects affine geometric objects} living on . In particular, a Riemannian me…
Emergent phenomenology from deterministic Cartan-Randers systems
Ricardo Gallego Torromé
We consider specific deterministic quantum models of Cartan-Randers type and show how a dualized abelian gauge symmetry, diffeomorphism invariance, the Principle of Inertia, revers…