24 citations · 50 across the 5 of their papers we have counts for
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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…