31 Caroline St. N.
Waterloo Ontario,
Canada
N2L 2Y5
Tel: (519) 569-7600
Fax: (519) 569-7611
|
|
|
|
Home
|
 | Joel R. Brownstein | | | | | Phone: | (519) 569-7600 x8084 | | Email: | jbrownstein[at]perimeterinstitute.ca | Supervisor: | John Moffat | | Personal Webpage: | http://www.joelbrownstein.com/ |
Joel Brownstein is currently Research Assistant to John W. Moffat AffiliationsImplications of Classical, Quantum and Numerical Space-Time Geometry:
| Space-time geometry is studied both classically, quantum mechanically and numerically. Each of these research tracks have areas of overlap in the fields of quantum cosmology, relativistic stars, black holes and gravity wave detection. Current directions in this field begin with theoretical predictions presupposing Einstein's General Relativity (GR), or a generalization such as Moffat's nonsymmetric gravitation theory (NGT) - which is a mathematical extension of GR in which the antisymmetric component of the metric is identified with a massive spin 1+ particle field which universally couples to matter. |
| Recent work by proponents of this field indicate that either Einstein's GR, or Moffat's NGT may be nonperturbatively renormalizable and lead to a range of applicability beyond a phenomenological description of the effects of gravity at distances much larger than the Planck length. As a consequence, programs such as Loop Quantum Gravity can lead to meaningful results. |
| Recent goals of this program have been to develop the theoretical underpinnings of phenomenological solutions to problems which cannot be explained by Newtonian approximations to Einstein's GR. Specific goals including galaxy rotation curves, preprint (astro/ph-0506370), galaxy cluster masses, preprint (astro/ph-0507222), replacing dominant dark matter and dark energy, the cosmological constant, black hole solutions and event horizons, gravity waves, pioneer anomaly, preprint (gr-qc/0511026), and a host of other phenomena have already met some success. The importance of this research program is to identify a necessary and consistent theory, suitably constrained by observations such as violations of the weak equivalence principle and solar system, galactic and cosmological observations. |
| Brownstein's previous work was a successful implementation of the aforementioned methodology. Since Brownstein's original publication of that work, the field has matured along classical approaches to metric theories of gravity and the profound refinement of the NGT; and the field has matured in quantum mechanical techniques (such as Loop Quantum Gravity and String Theory); and numerical techniques (such as the Cactus Framework). Recent experiments such as the Cosmic Microwave Background (CMB), Supernova cosmological data, Stanford Gyroscope B space mission and the LIGO/LISA efforts provide anticipated results for Brownstein's and Moffat's research. |
| The methodology of seeking solutions to the gravitational action may include developing code via the Cactus numerical relativity framework which is currently being applied on topics ranging from black hole simulations to Loop Quantum Gravity. Brownstein attended the Spring 2004 Cactus Retreat at the Louisiana State University Center for Computation and Technology, which delved into modern techniques of numerical relativity. The work on black holes in the NGT has not yet been explored numerically, although Moffat has expressed a strong interest in such an investigation. Brownstein proposes to explore NGT in the short term as a candidate theory. The long term goal of this research proposal is to explore the predictions of the underlying theory; and to develop mathematical justifications for proposing future directions in the search for experimental results. |
Additional Publications:
- Texture effect on vortex-state TF-mu^{+SR} in Bi-2223 high-T_C materials by R. I. Grynszpan, P. L. Langlois, D. R. Noakes, C. E. Stronach, M. M. Granderson, E. J. Ansaldo, J. R. Brownstein, A. J. Hill and T. J. Bastow 1997, Hyperfine Interactions, 105, 95
- Spinning test particles and the motion of a gyroscope according to the nonsymmetric gravitation theory by J. W. Moffat and J.R. Brownstein 1990, Phys. Rev. D41, 3111
- Model of a superconducting phase transition by H. Chen, J. R. Brownstein and D. J. Rowe (1990), Phys. Rev. C42, 1422
|
|
|
|
|
|
|
