Project Description

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RESEARCH AREAS:

  • Mathematical Physics

  • Classical Field Theory

  • Gauge Theory

CONTACT:

MARK ROBERT BAKER

Doctoral Student;
Department of Physics and Astronomy, Western University

Mark Robert Baker is a student of physics and applied mathematics at Western University. His academic interests center on developing procedures for obtaining manifestly gauge invariant classical field theories. Mark has written about the procedures for constructing unique Lagrangians in classical field theory, as well as past work in renewable resource and food science. Mark is motivated by the importance of self-consistent structure within complete sets of physical equations; such as the Lagrangian, equation of motion, energy-momentum tensor, and angular momentum tensor of a given model. He hopes to expand this work through his interest in the philosophy of science. Beyond his research, Mark is a passionate lecturer who teaches math and physics courses while completing his PhD.

My research interests are centered around the need for procedures in classical relativistic field theories. The idea is to determine the minimal amount of rules (postulates) such that a classical field theory can be uniquely determined. I am interested in determining a set of rules such that a unique set of models will follow from Noether’s theorem. The basis for the rules are models such as covariant electrodynamics. Example rules are properties of these models such as manifest gauge invariance, including explicit gauge invariance of the Lagrangian, Lorentz invariance, and the presence of a field strength tensor in the theory. In my MSc thesis I used similar methods to recover electrodynamics from the set of all possible vector potential models using a set of rules, as well as higher order models that follow from these rules. Going forward I am trying to determine the set of rules for well known gravitational models.

Patents (Filed)

[1]  Suresh Narine, Laziz Bouzidi, Bruce Darling, Mark Baker, Shaojun Li, and Ali Mahdevari.  Phase behaviors and properties of certain triacylglycerols and fatty acid methyl esters, PCT Patent application (Filed April15, 2013), Application number:  PCT/IB2013/001465.
[2]  Suresh Narine, Laziz Bouzidi, Bruce Darling, Mark Baker, Shaojun Li, and Ali Mahdevari.  Phase behavior and properties of certain triacylglycerols and fatty acid methyl esters, US Provisional Patent application(Filed March 15, 2013), Application number:  61/863,137.
[3]  Suresh Narine, Laziz Bouzidi, Bruce Darling, Mark Baker, Shaojun Li, and Ali Mahdevari.  Phase behavior and properties of certain triacylglycerols and fatty acid methyl esters, US Provisional Patent application(Filed March 15, 2013), Application number:  61/863,105.
[4]  Suresh Narine, Laziz Bouzidi, Bruce Darling, Mark Baker, Shaojun Li, and Ali Mahdevari.  Certain dimers as crystallization depressants, US Provisional Patent application (Filed March 15, 2013), Application number:  61/798,974.
[5]  Suresh Narine, Laziz Bouzidi, Bruce Darling, Mark Baker, Shaojun Li, and Ali Mahdevari.  Polymorphism and microstructure of certain triacylglycerols and fatty acid methyl esters, US Provisional Patent application (Filed March 14, 2013), Application number:  61/785,418.
[6]  Suresh Narine, Laziz Bouzidi, Bruce Darling, Mark Baker, Shaojun Li, and Ali Mahdevari.  Phase behavior and properties of certain triacylglycerols and fatty acid methyl esters, US Provisional Patent application(Filed March 13, 2013), Application number:  61/780,817.

Publications (Accepted)

[1]  Mark Robert Baker, Natalia Kiriushcheva, and Sergei Kuzmin.  Noether and hilbert (metric)energy-momentum tensors are not, in general, equivalent. Nuclear Physics B, 962:115240, 2021.
[2]  Mark Robert Baker and Sergei Kuzmin.  A connection between linearized gauss–bonnet gravity and classical electrodynamics. International Journal of Modern Physics D, 28(07):1950092, 2019.
[3]  Mark Baker, Laziz Bouzidi, and Suresh S Narine.  Mitigating crystallization of saturated fames (fatty acid methyl esters) in biodiesel:  2. the phase behavior of 2-stearoyl diolein–methyl stearate binary system. Energy, 83:647–657, 2015.
[4]  Laziz Bouzidi, Mark Baker, Nissim Garti, and Suresh S Narine.  Elucidation of kinetic and symmetry effects on the viscosity and flow behavior of stearic and oleic triacylglycerols. Journal of the American Oil Chemists’ Society, 92(7):939–946, 2015.
[5]  Mark R Baker, Laziz Bouzidi, Nissim Garti, and Suresh S Narine.  Multi-length-scale elucidation of kinetic and symmetry effects on the behavior of stearic and oleic tag. ii:  Oso and soo. Journal of the American Oil Chemists’ Society, 91(10):1685–1694, 2014.
[6]  Mark Baker, Laziz Bouzidi, Nissim Garti, and Suresh S Narine.  Multi-length-scale elucidation of kinetic and symmetry effects on the behavior of stearic and oleic tag. i. sos and sso. Journal of the American Oil Chemists’ Society, 91(4):559–570, 2014.

MSc Thesis

“Gauge Invariant Lagrangian Formulation”, MSc Thesis, Western University (2016)