Vesselin Gueorguiev

Research interest include group theoretical methods in physics and their applications to many-body systems, the geometrical and mathematical foundations of Classical Mechanics, Quantum Mechanics, General Relativity and Cosmology, and the application of Non-Commutative geometry to Quantum field Theory in physics.

Brief Bio:
M.S. in Nuclear and Particle Physics from Sofia University, Sofia, Bulgaria;
PhD in Nuclear Physics form Louisiana State University, Baton Rouge, LA, USA;
NATO fellow at Consejo Superior de Investigaciones Científicas, Madrid, Spain;
Research fellow at Lawrence Livermore National Lab, Livermore, CA, USA;
Physics Lecturer/Instructor at the School of Natural Sciences and the School of Engineering at University of California, Merced, CA, USA;
Physics & Astronomy Lecturer at California State University Stanislaus, Turlock, CA;
Physics Assistant Prof. – Sichuan University -Pittsburgh Institute, Chengdu, China;

Currently: member of the Institute for Advanced Physical Studies, Sofia, Bulgaria and the Ronin Institute, USA

Description of Current Research Topics:

  • Investigation of exactly solvable many-body problems and the application of such solutions in the analyses of fundamental interactions and systems such as atomic nuclei and other complex many-body systems. A two-body interaction is often sufficient ingredient for the description of A-body systems since three- and more particles rarely come in close proximity simultaneously. However, based on the Chiral-Perturbation theory approach to the effective nuclear interaction, it has been shown that three-nucleon interactions in the structure of light nuclei are important. Some of my current research projects aim at exploring the A-body interactions paradigm; in particular, the role of the three- and four- nucleon QCD derived effective interactions in nuclei; as well as charting the limits of applicability of the exactly solvable extended A-body pairing interaction to nuclei and other complex systems.
  • Research on the Lagrangian formulation for the reparametrization-invariant embedding of d+1 dimensional manifolds (d-brains) into m-dimensional target spaces and possible quantization procedures of these systems. Some important reparametrization-invariant systems are general relativity, string theory, and the familiar relativistic particle in external electromagnetic and gravitational fields. The proper-time parameterized classical trajectory of relativistic particle is a one-dimensional object, thus a 0-brain (only time-like points). String theory can be viewed as two-dimensional extended object having one special and one time-like dimension, thus a type 1-brain manifold with embedding in a bigger m-dimensional target spaces. The go of my research is to understand the physically relevant framework; to classify the Lagrangians and their structure that result in reparametrization-invariant models; to quantify the notion of time for reparametrization-invariant systems and its role for their quantization.
  • Studies about the early Universe by using classical model for the expansion during the radiation-dominated epoch based on the gravitational repulsion of the Reissner-Nordstrom geometry. This mechanism assumes that the Universe is a two-component van der Waals gas. The first component is a gas of ultra-relativistic “normal” particles described by an equation of state of an ideal quantum gas of massless particles. The second component consists of “unusual” particles (namely, either with ultra-high charge or with ultra-high mass) that provide the important mechanism of expansion due to their interaction with the “normal” component of the gas. The goal is to relate this model to the problem of dark matter and dark energy in modern cosmology.

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