20 citations · 62 across the 11 of their papers we have counts for
11 papers
A Categorical View on the Principle of Relativity
L. M. Gaio, B. F. Rizzuti
Category theory plays a special character in mathematics - it unifies distinct branches under the same formalism. Despite this integrative power in math, it also seems to provide t…
5-Dimensional -Invariant Action as an Origin to the Magueijo-Smolin Doubly Special Relativity Proposal
B. F. Rizzuti, G. F. Vasconcelos
In this paper we discuss how the Magueijo-Smolin Doubly Special Relativity proposal may obtained from a singular Lagrangian action. The deformed energy-momentum dispersion relation…
To square root the Lagrangian or not: an underlying geometrical analysis on classical and relativistic mechanical models
B. F. Rizzuti, G. F. Vasconcelos Júnior, M. A. Resende
The geodesic has a fundamental role in physics and in mathematics: roughly speaking, it represents the curve that minimizes the arc length between two points on a manifold. We anal…
Operational approach to the topological structure of the physical space
B. F. Rizzuti, L. M. Gaio, C. Duarte
Abstract axiomatic formulation of mathematical structures are extensively used to describe our physical world. We take here the reverse way. By making basic assumptions as starting…
Noncommutative analysis in a curved phase-space and coherent states quantization
B. F. Rizzuti, E. M. C. Abreu, A. C. R. Mendes +2
In this work we have shown precisely that the curvature of a 2-sphere introduces quantum features in the system through the introduction of the noncommutative (NC) parameter that a…
Non-Grassmann mechanical model of the Dirac equation
A. A. Deriglazov, B. F. Rizzuti, G. P. Z. Chauca +1
We construct a new example of the spinning-particle model without Grassmann variables. The spin degrees of freedom are described on the base of an inner anti-de Sitter space. This…