116 citations · 482 across the 33 of their papers we have counts for
21 papers · 1 filter
Snyder and their representation with creation and annihilation operators
Juan M. Romero, Leonardo Ortíz
Inspired by the Schwinger's representation of angular momentum, we propose a representation of certain operators where we use the algebra of the annihilation and creation operators…
Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
Roberto Cartas-Fuentevilla, Alfredo Herrera-Aguilar, V. Matlalcuatzi-Zamora +2
In this article we focus on constructing a new family of spatially anisotropic Lifshitz spacetimes with arbitrary dynamical exponent z and constant negative curvature in d+1 dimens…
Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
Juan M. Romero, J. David Vergara
In this work, we propose three different modified relativistic particles. In the first case, we propose a particle with metrics depending on the momenta and we show that the quantu…
Hamiltonian analysis for Lifshitz type Fields
Alejandro Gaona, Juan M. Romero
Using the Dirac Method, we study the Hamiltonian consistency for three field theories. First we study the electrodynamics a la Hořava and we show that this system is consistent for…
Relativistic conformal symmetry of neural field propagation in the brain
Juan M. Romero, Carlos Trenado, Berenice Aguilar +1
In this paper, we address a neural field equation that characterizes spatio-temporal propagation of a neural population pulse. Due that the human brain is a complex system whose co…
Conformal quantum mechanics and Fick-Jacobs equation
Juan M. Romero, Alejandro Gaona
It is found a relation between conformal quantum mechanics and Fick-Jacobs equation, which describes diffusion in channels. This relation is given between a family of channels and…
Very special relativity as particle in a gauge field and two-time physics
Juan M. Romero, Eric Escobar, Etelberto Vazquez
The action for a -dimensional particle in very special relativity is studied. It is proved that massless particles only travel in effective -dimensional space-time. I…
Lorentz violation, Two times physics and Strings
Juan M. Romero, Oscar Sánchez-Santos, José David Vergara
We study a recently proposed generalization of the relativistic particle by Kostelecký, that includes explicit Lorentz violation. We present an alternative action for this system a…
Electrodynamics a la Horava
Juan M. Romero, J. A. Santiago, O. Gonzalez-Gaxiola +1
We study an electrodynamics consistent with anisotropic transformations of space-time with an arbitrary dynamic exponent . The equations of motion and conserved quantities are e…
Is it possible to relate MOND with Horava Gravity?
Juan M. Romero, R. Bernal-Jaquez, O. Gonzalez-Gaxiola
In this work we present a scalar field theory invariant under space-time anisotropic transformations with a dynamic exponet . It is shown that this theory possess symmetries sim…
Conformal Anisotropic Mechanics
Juan M. Romero, Vladimir Cuesta, J. Antonio Garcia +1
In this paper we implement scale anisotropic transformations in the space-time in classical mechanics. The resulting system is consistent with the dispersion relation of gravity at…
The Area Quantum and Snyder Space
Juan M. Romero, Adolfo Zamora
We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein con…
Noncommutative spaces, the quantum of time and the Lorentz symmetry
Juan M. Romero, J. D. Vergara, J. A. Santiago
We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are no commutative, with commutation relations similar…
The Parametrized Relativistic Particle and the Snyder space-time
Juan M. Romero, J. David Vergara
Using the parametrized relativistic particle we obtain the noncommutative Snyder space-time. In addition, we study the consistency conditions between the boundary conditions and th…
Snyder noncommutative space-time from two-time physics
Juan M. Romero, Adolfo Zamora
We show that the two-time physics model leads to a mechanical system with Dirac brackets consistent with the Snyder noncommutative space. An Euclidean version of this space is also…
Corrections to the Planck's radiation law from loop quantum gravity
Huitzilin Yepez, Juan M. Romero, Adolfo Zamora
We study the dispersion relation obtained from the semiclassical loop quantum gravity. This dispersion relation is considered for a photon system at finite temperatures and the cha…
Cosmological Constant and Noncommutativity: A Newtonian point of view
Juan M. Romero, J. A. Santiago
We study a Newtonian cosmological model in the context of a noncommutative space. It is shown that the trajectories of a test particle undergo modifications such that it no longer…
A note about the quantum of area in a non-commutative space
Juan M. Romero, J. A. Santiago, J. David Vergara
In this note we show that in a two-dimensional non-commutative space the area operator is quantized, this outcome is compared with the result obtained by Loop Quantum Gravity metho…
The Kepler problem and non commutativity
Juan M. Romero, J. David Vergara
We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative paramete…
Boundary conditions as constraints
Juan M. Romero, J. David Vergara
A new method to compute the symplectic structure of a quantum field theory with non trivial boundary conditions is proposed. Following the suggestion in \cite{ho:gnus, ardalan}, we…
Newton's Second Law in a Noncommutative Space
Juan M. Romero, J. A. Santiago, J. David Vergara
In this work we show that corrections to the Newton's second law appears if we assume that the phase space has a symplectic structure consistent with the rules of commutation of no…