Abstract
If we consider the finite actions of electromagnetic fields in Hamiltonian regime and use vector bundles of geodesic in movement of the charges with a shape operator (connection) that measures the curvature of a geometrical space on these geodesic (using the light caused from these points (charges) acting with the infinite null of gravitational field (background)) we can establish a model of the curvature through gauges inside the electromagnetic context. In partular this point of view is useful when it is about to go on in a quantized version from the curvature where the space is distorted by the interactions between particles. This demonstrates that curvature and torsion effect in the space-time are caused in the quantum dimension as back-reaction effects in photon propagation. Also this permits the observational verification and encodes of the gravity through of light fields deformations. The much theoretical information obtained using the observable effects like distortions is used to establish inside this Lagrangian context a classification of useful spaces of electro-dynamic configuration for the description of different interactions of field in the Universe related with gravity. We propose and design one detector of curvature using a cosmic censor of the space-time developed through distortional 3-dimensional sphere. Some technological applications of the used methods are exhibited.
Highlights
The curvature perception in the space is associated increasingly with their interpretation as a distortion of the micro-local structure of the space—time due to the interaction of particles of the matter and energy with diverse field manifestations [1,2]
The matter is shaped by hypothetical particles that take as basic the background radiation of the space, which in the last studies due to QFT, SUSY-theory and brane theory, the strings are organized and tacked to form spaces of major dimensions [3,4] represented by diverse particles of the matter as they are gravitons, barions, fermions of three generations, etc., shaping the gravity at quantum level, obtaining representations of the same one for classes of cohomology of the QFT, like for example the FRW-cohomology, which considers diverse symmetries of cylindrical and spherical type for the gravity modeling like a wave of gravitational energy “quasi-locally” [5,6,7,8]
In case of the energy and through the neo-relativistic models of strings it was possible to have established that this is only a manifestation of the matter in their deep level, being a product of the interaction with particles as the electro-strong interactions that produce dispersion and cosmic rays in the whole universe, causing backreaction in propagation of photons that can be shaped through hypothetical particles or dilatons [14,15], using a Electromagnetic Gauges and Maxwell Lagrangians Applied to the Determination of Curvature in the Space-Time and their Applications strings of heterotic model [17] on the base of a 10-dimensional space-time defined for
Summary
The curvature perception in the space is associated increasingly with their interpretation as a distortion of the micro-local structure of the space—time due to the interaction of particles of the matter and energy with diverse field manifestations [1,2]. The matter is shaped by hypothetical particles that take as basic the background radiation of the space, which in the last studies due to QFT, SUSY-theory and brane theory, the strings are organized and tacked to form spaces of major dimensions [3,4] represented by diverse particles of the matter as they are gravitons, barions, fermions of three generations, etc., shaping the gravity at quantum level, obtaining representations of the same one for classes of cohomology of the QFT, like for example the FRW-cohomology, which considers diverse symmetries of cylindrical and spherical type for the gravity modeling like a wave of gravitational energy “quasi-locally” [5,6,7,8] Their integrals of action define a energy density (Hamiltonian) given for the gravitational case like [9,10,11,12,13]:. Where R, is the curvature, gdxD , is the quantized metric of the metric tensor and , is the dilaton potential
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