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W. Chagas-Filho

Publications and source records attributed to W. Chagas-Filho.

12 recordsLinked to original sources
arXiv2009

Dual Quantum Mechanics

We point out a possible complementation of the basic equations of quantum mechanics in the presence of gravity. This complementation is suggested by the well-known fact that quantum mechanics can be equivalently formulated in the position or in the momentum representation. As a way to support this complementation, starting from the action that describes conformal gravity in the world-line formalism, we show that there are duality transformations that relate the dynamics in the presence of position dependent vector and tensor fields to the dynamics in the presence of momentum dependent vector and tensor fields.

hep-th↗
arXiv2008

2T Physics and Quantum Mechanics

We use a local scale invariance of a classical Hamiltonian and describe how to construct six different formulations of quantum mechanics in spaces with two time-like dimensions. All these six formulations have the same classical limit described by the same Hamiltonian. One of these formulations is used as a basis for a complementation of the usual quantum mechanics when in the presence of gravity.

hep-th↗
arXiv2007

2T Physics, Scale Invariance and Topological Vector Fields

We construct, in classical two-time physics, the necessary structure for the most general configuration space formulation of quantum mechanics containing gravity in d+2 dimensions. This structure is composed of a symmetric Riemannian metric tensor and of a vector field that defines a section of a flat U(1) bundle over space-time. This construction is possible because of the existence of a finite local scale invariance of the Hamiltonian and because two-time physics contains, at the classical level, a local generalization of the discrete duality symmetry between position and momentum that underlies the structure of quantum mechanics.

hep-th↗
arXiv2006

Dual Gravitation

We propose a canonical relation between gravity and space-time noncommutativity.

hep-th↗
arXiv2006

Two Time Physics with a Minimum Length

We study the possibility of introducing the classical analogue of Snyder's Lorentz-covariant noncommutative space-time in two-time physics theory. In the free theory we find that this is possible because there is a broken local scale invariance of the action. When background gauge fields are present, they must satisfy certain conditions very similar to the ones first obtained by Dirac in 1936. These conditions preserve the local and global invariances of the action and leads to a Snyder space-time with background gauge fields.

hep-th↗
arXiv2006

Noncommutative Two Time Physics

We present a classical formalism describing two-time physics with Abelian canonical gauge field backgrounds. The formalism can be used as a starting point for the construction of an interacting quantized two-time physics theory in a noncommutative soace-time.

hep-th↗
arXiv2006

Gravitation with Two Times

We investigate the possibility of constructing a covariant Newtonian gravitational theory and find that the action describing a massless relativistic particle in a background Newtonian gravitodynamic field has a higher-dimensional extension with two times.

hep-th↗
arXiv2006

Free Massless Particles, Two Time Physics and Newtonian Gravitodynamics

We demonstrate how a classical Snyder-like phase space can be constructed in the Hamiltonian formalism for the free massless relativistic particle, for the two-time physics model and for the relativistic Newtonian gravitodynamic theory. In all these theories the Snyder-like phase space emerges as a consequence of a new local scale invariance of the Hamiltonian. The implications and consequences of this Snyder-like phase space in each of these theories are also considered.

hep-th↗
arXiv2005

High Energy Commutators in Particle, String and Membrane Theories

We study relativistic particle, string and membrane theories as defining field theories containing gravity in (0+1), (1+1) and (2+1) spacetime dimensions respectively. We show how an off shell invariance of the massless particle action allows the construction of an extension of the conformal algebra and induces a transition to a non-commutative spacetime geometry. This non-commutative geometry is found to be preserved in the spacetime supersymmetric massless particle theory. It is then shown how the basic bosonic commutators we found for the massless particle may also be encountered in the tensionless limit of string and membrane theories. Finally we speculate on how the non-locality introduced by these commutators could be used to construct a covariant Newtonian gravitational field theory.

hep-th↗