On iso-relativistic theories and general connections

Cirilo-Lombardo, Diego Julio

doi:10.1063/1.4756315

Cited by 11 publications

(34 citation statements)

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“…Then, other form to see the problem treated in this paragraph is to introduce the propagator for the torsion corresponding to the first part of the equivalence (19b). This important possibility will be studied elsewhere [5].…”

Section: Dirac Structure Electromagnetic Field and Anomalous Giromagmentioning

confidence: 99%

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Unified Field Theoretical Models from Generalized Affine Geometries III

Cirilo-Lombardo

2011

Int J Theor Phys

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In this work the underlying structure of new type of Unified Field Theoretical model introduced in by the authors is elucidated and analyzed from the geometrical and group theoretical point of view. Our goal is to take advantage of the geometrical and topological properties of this theory in order to determine the minimal group structure of the resultant spacetime manifold able to support a fermionic structure. From this fact, the relation between antisymmetric torsion and Dirac structure of the spacetime is determined and important physical consequences enumerated. In the case of spacetime with torsion the real meaning of the spin-frame alignment is find and the question of the minimal coupling is discussed based in the important cases of tratorial, totally antisymmetric and general torsion fields. Motivation and Summary of the ResultsAs was pointed out by us in later works [1,2], the cornerstone of the problem of the Unification is where to start conceptually to reformulate the theoretical arena where the Fundamental Theory will be placed, and where the geometry is the unifying essence. According to Mach spacetime doesn't exists without matter. Then, two basic ideas immediately arise to fulfill the observation given by Mach: the concept of dualistic or non-dualistic theories. In the first one the simplest and economical description can be formulated in terms of the gravitational field without torsion plus the energy momentum tensor that, however, is added "by hand" in order to cover the lack of knowledgement of a fundamental structure of the space

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Section: Dirac Structure Electromagnetic Field and Anomalous Giromagmentioning

confidence: 99%

“…Other possibilities not enumerated here, lead spacetimes with cyclic singularities due transcendental functions into the denominator of the expression for the scale factor a(τ ). This issue is a focus of a future discussion somewhere [5].…”

Section: Exact Solutions In Uft Theory: General Casementioning

confidence: 99%

Unified Field Theoretical Models from Generalized Affine Geometries III

Cirilo-Lombardo

2011

Int J Theor Phys

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“…For example, it is well known that the CS defined in [2] are a particular case that the CS defined in [6] by means of a displacement operator. This fact is crucial in order to be consistent at the hour to define correctly the observables of the physical system under consideration, in particular the position operator [7,8].…”

Section: The Physical Space Of Phase and The Projection Methodsmentioning

confidence: 99%

“…It is clear that the denominator in the quotient (45), average with respect to the fiducial CS state, plays the role to centralize the expression of the numerator. However, the claim that U is the best candidate for the position operator is still obscure and requires special analysis that we will be given elsewhere [8].…”

Section: Abstract Coherent Statesmentioning

confidence: 99%

Quantum particle on a Möbius strip, coherent states and projection operators

Cirilo-Lombardo¹

2012

J. Phys. A: Math. Theor.

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The coherent states for a quantum particle on a Möbius strip are constructed and their relation with the natural phase space for fermionic fields is shown. The explicit comparison of the obtained states with previous works where the cylinder quantization was used and the spin 1/2 was introduced by hand is given, and the relation between the geometrical phase space, constraints and projection operators is analyzed and discussed.

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“…In previous references, the authors have introduced a unified model based on a non-Riemannian geometry containing a dynamic antisymmetric torsion that admits the same results of GR and SM already proven, but also satisfactorily solves problems that GR and SM present difficulties or inconsistencies. Some of those problems that were satisfactorily treated in the context of this new formulation were the determination of the mass of the axion [12], violation of CP of the neutrino [14], primordial magnetogenesis [10], etc. In this work we calculate the equations controlling the stellar magnetospheres of compact objects in particular, in this new context.…”

Section: Introduction To the Problemmentioning

confidence: 99%

Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation

Cirilo-Lombardo

2019

Int. J. Geom. Methods Mod. Phys.

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The magnetosphere structure of a magnetar is considered in the context of a theory of gravity with dynamical torsion field beyond the standard General Relativity (GR). To this end, the axially symmetric version of the Grad-Shafranov equation (GSE) is obtained in this theoretical framework.The resulting GSE solution in the case of the magnetosphere corresponds to a stream function containing also a pseudoscalar part. This function solution under axisymmetry presents a complex character that (as in the quantum field theoretical case) could be associated with an axidilaton field. Magnetar-pulsar mechanism is suggested and the conjecture about the origin of the excess energy due the GSE describing the magnetosphere dynamics is claimed. We also show that two main parameters of the electrodynamic processes (as described in GR framework by Goldreich and Julian (GJ) in 1969 [5]) are modified but the electron-positron pair rate · N remains invariant.The possible application of our generalized equation (defined in a non-Riemannian geometry) to astrophysical scenarios involving emission of energy by gravitational waves, as described in the context of GR in [18], is briefly discussed.

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On iso-relativistic theories and general connections

Cited by 11 publications

References 0 publications

Unified Field Theoretical Models from Generalized Affine Geometries III

Unified Field Theoretical Models from Generalized Affine Geometries III

Quantum particle on a Möbius strip, coherent states and projection operators

Non-Riemmanian geometry, force-free magnetospheres and the generalized Grad-Shafranov equation

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