3 citations · 9 across the 7 of their papers we have counts for
10 papers
An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we propose an axiomatization for the notion of strong emergence phenomenon between field theories depending on additional parameters, which we call parameterized fiel…
On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner
In this paper we continue the program on the classification of extensions of the Standard Model of Particle Physics started in arXiv:2007.01660. We propose four complementary quest…
On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner
In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowin…
Introduction to Abstract Homotopy Theory
Yuri Ximenes Martins
This is an introduction to the study of abstract homotopy theory by means of model categories and -categories. The only prerequisites are very basic general topology an…
Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories
Yuri Ximenes Martins, Roney Josué Biezuner
In this paper we propose a formal definition of what is a strong emergence phenomenon between two parameterized field theories and we present sufficient conditions ensuring the exi…
Geometric Obstructions on Gravity
Yuri Ximenes Martins, Rodney Josué Biezuner
These are notes for a short course and some talks gave at Departament of Mathematics and at Departament of Physics of Federal University of Minas Gerais, based on the author's pape…