nLab Rodney Josué Biezuner

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Selected Writings

Papers and Preprints

On higher category theory and physics in view of Hilbert's sixth problem:

• Yuri Ximenes Martins, Rodney Josué Biezuner, Towards An Approach to Hilbert’s Sixth Problem: A Brief Review, 2020 (hal:02909681, pdf). Submitted

On obstructions to realize gravity (as Einstein–Hilbert–Palatini theories) in geometries other than Lorentzian and Riemannian:

• Yuri Ximenes Martins, Rodney Josué Biezuner, Topological and Geometric Obstructions on Einstein-Hilbert-Palatini Theories, Journal of Geometry and Physics Volume 142, August 2019, Pages 229-239. (arXiv:1808.09249)

• Yuri Ximenes Martins, Rodney Josué Biezuner, Geometric Obstructins on Gravity, 2019, (arXiv:1912.11198)

On the classification problem of extensions to the Standard Model of particle physics:

• Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner, On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories, 2020, (arXiv:2007.01660). Submitted

• Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner, On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories, 2020, (arXiv:2007.08651). Submitted

On the axiomatization problem of Astrophysics:

• Yuri Ximenes Martins, Daniel de Souza Plácido Teixeira, Luiz Felipe Andrade Campos, Rodney Josué Biezuner, Constraints Between Equations of State and Mass-Radius Relationships in General Clusters of Stellar Systems, Phys. Rev. D 99, 023007 (2019). (arXiv:1808.09306)

• Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Daniel de Souza Plácido Teixeira, Rodney Josué Biezuner, Existence and Classification of Pseudo-Asymptotic Solutions for Tolman-Oppenheimer-Volkoff Systems, Annals of Physics, v. 409, p. 167929, 2019. (arXiv:1809.02281)

On a program attempting to get existence and multiplicity results for geometric objects on $C^k$-manifolds fulfilling arbitrarily given regularity conditions.

• Yuri Ximenes Martins, Rodney Josué Biezuner, Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds, 2019. (arXiv:1908.04442). Submitted

• Yuri Ximenes Martins, Rodney Josué Biezuner, Geometric Regularity Results on $B_{\alpha,\beta}^{k}$-Manifolds, I: Affine Connections, 2020. (arXiv:1910.03113). Submitted

On an axiomatizatic proposal to the notion of strong emergence between Lagrangian field theories:

• Yuri Ximenes Martins, Rodney Josué Biezuner, Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories, 2020, (arXiv:2004.13144)

On a functorial extension of Feynman rules from Feynman graphs to structured hypergraphs.

• Yuri Ximenes Martins, Rodney Josué Biezuner, Graph Reconstruction, Functorial Feynman Rules and Superposition Principles, 2019, (arXiv:1903.06284). To be improved

Textbooks and Lecture Notes

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