Quantum Gravity Sensor by Curvature Energy: their Encoding and Computational Models*

Bulnes, Francisco

doi:10.14569/specialissue.2014.040308

Cited by 3 publications

(7 citation statements)

References 17 publications

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“…(16) can be re-written to fermions in gravity with torsion [23,24], with a specific scalar field of torsion (Kalb-Ramond field strength [25]) inspirited from the string theory [26] (UV-complete) and that can do the job of providing a constant, axial background in a local frame of FRW-cosmology. The additional fermion-piece of the form is stated as follows:…”

Section: H-fields In a Generalized Curvature Tensor And Some Boson-fementioning

confidence: 99%

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Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy

Bulnes¹

2017

Recent Studies in Perturbation Theory

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The curvature energy as spectra of a field observable that is resulted of the variation of energy due to the speed of direction change in the space, is measured and detected by a sensor designed and developed through H-fields of energy that are superposes, obtaining strong variations in the fermion state to the H-torsion (second curvature energy) of the space-time via the gravitational covariant derivative having that the actions can be consigned to these H-fields as Majorana states with a corresponding action of gauge field. Likewise, in this chapter, some geometrical models of these Hstates and their spectra of curvature are generated and discussed, which are extrapolated to the design of curvature energy sensors to quantum gravity.

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Section: H-fields In a Generalized Curvature Tensor And Some Boson-fementioning

confidence: 99%

“…Refs. [14,26] Separation of fermions due to their spin ½ in the non-Harmonic analysis that appear in the antisymmetric behaviour of the curvature in a gravitational field measured for quantum interactions. This is realized in a spintronic simulation.…”

Section: Theorem (F Bulnes)mentioning

confidence: 99%

Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy

Bulnes¹

2017

Recent Studies in Perturbation Theory

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“…The other side of inequality(11) is proved under arguments of Gaussian and mean curvatures on surface using the same argument of length measures.…”

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confidence: 99%

“…which is an "energy" representation of curvature. This permit us generalize the idea of the curvature as field observable to a level of their energy, having the concept of curvature energy, that is to say, the domineering energy in the action of the field on a curved space [11] to displace a particle on said space (see the figure 2).…”

mentioning

confidence: 99%

“…Completing the square in the argument of exp integrant, we have that the last expression of the double integral takes the form: Of fact, this idea is consigned, to the case of solid state electronics, in the first curvature sensor prototypes published in [7], with the application of the censorship given by (1) and followed after in the research of field curvature and torsion to quantum gravity [11][12][13][14] to the prospective of a sensor of quantum gravity. Also with this idea were designed other devices of photonics and opto-electronics nature considering light waves in the detection and measurement of curvature [15][16][17].…”

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confidence: 99%

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Electronic Sensor Prototype to Detect and Measure Curvature Through Their Curvature Energy

Bulnes¹

2015

CSSP

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Through of the concept of curvature energy, and the curvature theory on homogeneous spaces is designed and constructed an electronic sensor prototype to measure curvature in 2, and 3-dimensional spaces using the programming of shape operators in micro-controllers and the value of their energy integrals along the curves and geodesics in their principal directions. The curvature obtained under the sensor device is their spectral curvature given in voltage in 2-and 3-dimensions and their perception of curvature through electronic signals on a curved surface is the curvature energy that is detected in the displacement of an accelerometer on the curved surface.

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Local diffeomorphisms and smooth embeddings to gravitational field II: spherical symmetry and their breaking in the space-time

Bulnes¹,

Fominko²

2018

PAIJ

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Consequences of the diffeomorphisms induced by K− invariant connections of the space of 1-forms of certain endomorphisms defined over a Lie algebra that is isomorphic to the tangent space seated in the identity element, of homogeneous spaces G/K⊂G/H , are analized. The images of these diffeomorphisms in G/H , are 2-form of curvatures that can be induced to each class of the G/K . Then using the K− invariant connection of this homogeneous space, the curvature can be determined as a regular representation that admits a finite discomposing of irreducible sub-representations of finite type, accord with the generalizing in dimensions of the Gauss-Bonnet theorem and the generalized Radon transform to obtain curvature through of co-cycles of the image of the corresponding space. Such irreducible sub-representations will be isotopic components of the certain smoothly embedded image in a manifold modelled this last, by a generalized function space. Likewise, through these realizations we have the curvature integrals as dual case of their field equations. Finally, using the complex Riemannian structure of our model of the space-time, and the K− invariant G− structure of the orbits used to obtain curvature, are obtained as consequences of the diffeomorphisms the field equations to the energy-matter tensor density in each case of the gravitational field. Of this manner, is determined their energy-mass tensor density as an integral which represents the energy spectra of the curvature when this is obtained in duality to the homogeneous field equations to the Riemann tensor Rμν−12gμν R.

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Quantum Gravity Sensor by Curvature Energy: their Encoding and Computational Models*

Cited by 3 publications

References 17 publications

Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy

Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy

Electronic Sensor Prototype to Detect and Measure Curvature Through Their Curvature Energy

Local diffeomorphisms and smooth embeddings to gravitational field II: spherical symmetry and their breaking in the space-time

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