EDUCATION
Theoretical physicist and PhD candidate at the National Autonomous University of Mexico (UNAM)
Specialized in loop quantum gravity and spinfoam models. My research focuses on the fundamental structure of spacetime, aiming to unravel the geometric architecture of the universe through rigorous mathematical frameworks.
Beyond the frontiers of physics, I am interested in the convergence between humanistic psychoanalysis and artificial intelligence, examining how theories of the human condition inform contemporary technological development, and how the social character is reflected in the current technological development.
My approach integrates the technical precision of exact sciences with a profound interest in the humanities.
2022 – Present PhD, Physical Sciences
- National Autonomous University of Mexico (UNAM)
- Thesis: On the hypotheses which lie at the foundations of Sum Over Surfaces Models for Quantum Gravity (In preparation).
- Supervisor: Dr. Jose A. Zapata.
This thesis examines foundational aspects of spin foam models, highlighting previously overlooked geometric features. It shows that individual 4-simplices in the EPRL model carry curvature and clarifies their role in the flatness problem. By correctly identifying and organizing the classical degrees of freedom underlying spin-foam discretizations, the work also includes a new discretization of the classical Holst action. This work lays the groundwork for exploring new sectors within the EPRL framework and constructing an improved model that rigorously accounts for the modification of the symplectic structure induced by the second-class constraints—a critical feature currently absent in the EPRL model.
2019 – 2021 Master in Physical Sciences
- National Autonomous University of Mexico (UNAM)
- Thesis: A new discretized model for Classical General Relativity.
- Supervisor: Dr. Jose A. Zapata.
- Distinction: Graduated with Honors (Magna Cum Laude).
2012 – 2018 Degree in Physics (BSc)
- National Autonomous University of Mexico (UNAM)
- Thesis: Dinámica Clásica de un Espejo Movil Debida a la Presion de Radiacion.
- Supervisor: Dr. Ricardo Alberto Weder Zaninovich.
SCHOLARSHIPS AND AWARDS
- 2023 Blaumann Foundation Scholarship – Supporting the project: An alternative proposal to construct spin foam models for quantum gravity.
- 2022 – 2026 National Scholarship for PhD studies – CONAHCYT.
- 2019 – 2021 National Scholarship for Master’s studies – CONACYT.
- 2014 – 2015 Associate Student Researcher (Level III) – CONACYT. Program: Analyzing high-energy scattering processes using the Schrodinger’s and Dirac’s equations.
- 2010 – 2013 Becalos – Undergraduate excellence students program (SEP).
SELECTED TALKS
- June 2023 Conference Quantum Gravity 2023, Radboud University, Nijmegen. Talk: A new perspective in the construction of spin foam models to quantum gravity.
- Nov 2022 Mexilazos 2022, BUAP, Puebla. Talk: A new proposal to construct spin foam models to quantum gravity.
- March 2022 Invited Talk. Center of Mathematical Sciences Scholars’ Seminar, Morelia. Talk: The path integral quantization in quantum mechanics (and quantum gravity).
- Nov 2021 Mexilazos 2021 (Virtual). Talk: A new discretized model for Holst's action.
TEACHING EXPERIENCE
- 2013 – 2021 Teaching Assistant
- School of Sciences, UNAM
- Taught various undergraduate and master’s level courses within the Professional Studies Division:
- 2021: Introduction to the Physics of Black Holes (Master’s M2 course).
- 2016 – 2018: Quantum Mechanics (Undergraduate).
- 2014: Functional Analysis for Physics Students (Undergraduate).
- 2013 – 2014: Mathematics for the Sciences of Earth III (Undergraduate).
ACADEMIC SERVICE
- Referee Reviewer for international peer-reviewed journals including Classical and Quantum Gravity (IOP)
- and Physica Scripta (IOP).
SKILLS
- Languages: Spanish (Native), English (Fluent / C1 - Common European Framework).
- Python advanced programming skills.
© Carlos E. Beltrán / Todos los derechos reservados