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Publications Influence

The bundles of algebraic and Dirac–Hestenes spinor fields

- R. A. Mosna, W. A. Rodrigues
- Physics, Mathematics
- 10 December 2002

TLDR

66 4- PDF

Vacuum fluctuations and the small scale structure of spacetime.

- S. Carlip, R. A. Mosna, J. P. M. Pitelli
- Physics, Medicine
- Physical review letters
- 30 March 2011

We show that vacuum fluctuations of the stress-energy tensor in two-dimensional dilaton gravity lead to a sharp focusing of light cones near the Planck scale, effectively breaking space up into a… Expand

38 1- PDF

Multivector Dirac Equation and ℤ 2-Gradings of Clifford Algebras

- R. A. Mosna, D. Miralles, J. Vaz
- Mathematics
- 1 September 2002

AbstractWe generalize certain aspects of Hestenes's approach to Dirac theory to obtain multivector Dirac equations associated to a large class of representations of the gamma matrices. This is done… Expand

9 1- PDF

Analogue model for anti-de Sitter as a description of point sources in fluids

- R. A. Mosna, J. P. M. Pitelli, Maur'icio Richartz
- Physics, Mathematics
- 28 November 2016

We introduce an analogue model for a nonglobally hyperbolic spacetime in terms of a two-dimensional fluid. This is done by considering the propagation of sound waves in a radial flow with constant… Expand

4 1- PDF

Geometry of the cholesteric phase

- Daniel A. Beller, Thomas Machon, +4 authors R. A. Mosna
- Physics, Materials Science
- 12 June 2014

We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret description of an orthonormal triad… Expand

18- PDF

Classical kinetic energy, quantum fluctuation terms and kinetic-energy functionals

- I. P. Hamilton, R. A. Mosna, L. D. Site
- Physics, Mathematics
- 17 September 2006

We employ a recently formulated dequantization procedure to obtain an exact expression for the kinetic energy which is applicable to all kinetic-energy functionals. We express the kinetic energy of… Expand

13- PDF

Quantum-classical correspondence via a deformed kinetic operator

- R. A. Mosna, I. Hamilton, L. D. Site
- Mathematics, Physics
- 13 April 2005

We propose an approach to quantum–classical correspondence based on a deformation of the momentum and kinetic operators of quantum mechanics. Making use of the factorization method, we construct… Expand

15- PDF

Variational approach to dequantization

- R. A. Mosna, I. Hamilton, L. D. Site
- Mathematics, Physics
- 8 November 2005

We present a dequantization procedure based on a variational approach whereby quantum fluctuations latent in the quantum momentum are suppressed. This is done by adding generic local deformations to… Expand

11- PDF

Evolution of populations expanding on curved surfaces

- Daniel A. Beller, Kim M. J. Alards, Francesca Tesser, R. A. Mosna, F. Toschi, W. Mobius
- Mathematics, Biology
- 1 September 2018

The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapes… Expand

5- PDF

Fisher information and kinetic energy functionals: A dequantization approach

- I. P. Hamilton, R. A. Mosna
- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 21 May 2009

TLDR

13- PDF