Gauge field theory of gravity

Dehnen, H.; Ghaboussi, F.

doi:10.1103/physrevd.33.2205

Cited by 19 publications

(15 citation statements)

References 8 publications

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“…In the beginning we repeat briefly the foundations of the previous work (Dehnen, Ghaboussi, 1986; see also Babu Joseph, Sabir, 1988) so far as necessary. Using 4-spinors it is appropriate to introduce the transformation matrices of the group SU(2) × U(1) in their 4 × 4-representation (a = 0, 1, 2, 3) :…”

Section: The Modelmentioning

confidence: 97%

Spin-gauge theory of gravity with Higgs-field mechanism

Dehnen

Hitzer

1994

Int J Theor Phys

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We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose SU(2) × U(1). After symmetry breaking a nonscalar Lorentz-covariant Higgs-field gravity appears, which can be interpreted within a classical limit as Einstein's metrical theory of gravity, where we restrict ourselves in a first step to its linearized version.2

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Section: The Modelmentioning

confidence: 97%

Spin-gauge theory of gravity with Higgs-field mechanism

Dehnen

Hitzer

1994

Int J Theor Phys

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“…(11d) is satisfied identically, and we are left with the gravitational EQ. (14). We recall that matter µν T represents conventional matter as well dark matter -weylons created in the micro cells.…”

Section: The Global Fieldmentioning

confidence: 99%

A Weyl-Dirac cosmological model with DM and DE

Israelit

2010

Gen Relativ Gravit

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In the Weyl-Dirac (W-D) framework a spatially closed cosmological model is considered. It is assumed that the space-time of the universe has a chaotic Weylian microstructure but is described on a large scale by Riemannian geometry. Locally fields of the Weyl connection vector act as creators of massive bosons having spin 1. It is suggested that these bosons, called weylons, provide most of the dark matter in the universe. At the beginning the universe is a spherically symmetric geometric entity without matter. Primary matter is created by Dirac's gauge function very close to the beginning. In the early epoch, when the temperature of the universe achieves its maximum, chaotically oriented Weyl vector fields being localized in micro-cells create weylons. In the dust dominated period Dirac's gauge function is giving rise to dark energy, the latter causing the cosmic acceleration at present. This oscillatory universe has an initial radius identical to the Plank length = 1.616 exp (-33) cm, at present the cosmic scale factor is 3.21 exp (28) cm, while its maximum value is 8.54 exp (28) cm. All forms of matter are created by geometrically based functions of the W-D theory.

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“…In the usual gauge description of gravity (see [17] for example) one begins with a Lagrangian of a matter field on Minkowski space time being invariant under global transformations of the Poincare group and postulates invariance under the corresponding local transformations. In [21] there has been suggested a spin gauge theory of gravity with gauge group SU (2) ⊗ U (1). According to this approach one begins with a spinor field and postulates invariance under local transformations within the space of Weyl spinors.…”

Section: B Matter Action and Relation To The Gauge Description Of Grmentioning

confidence: 99%

“…It not even supposes that there are perturbations of the flat Minkowski metric. According to the theory in [21] gravity is a phenomenon completely independent of the space time metric and is instead formulated on a Minkowski background given a priori. Besides it does not presuppose a unified theory of spinors and thus the interaction with gravity of interaction fields mediated by spin one particles is not included.…”

Section: B Matter Action and Relation To The Gauge Description Of Grmentioning

confidence: 99%

Relation of a unified quantum field theory of spinors to the structure of general relativity

Kober

2009

Phys. Rev. D

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Based on a unified quantum field theory of spinors assumed to describe all matter fields and their interactions we construct the space time structure of general relativity according to a general connection within the corresponding spinor space. The tetrad field and the corresponding metric field are composed from a space time dependent basis of spinors within the internal space of the fundamental matter field. Similar to twistor theory the Minkowski signature of the space time metric is related to this spinor nature of elementary matter, if we assume the spinor space to be endowed with a symplectic structure. The equivalence principle and the property of background independence arise from the fact that all elementary fields are composed from the fundamental spinor field. This means that the structure of space time according to general relativity seems to be a consequence of a fundamental theory of matter fields and not a presupposition as in the usual setting of relativistic quantum field theories.

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Gauge field theory of gravity

Cited by 19 publications

References 8 publications

Spin-gauge theory of gravity with Higgs-field mechanism

Spin-gauge theory of gravity with Higgs-field mechanism

A Weyl-Dirac cosmological model with DM and DE

Relation of a unified quantum field theory of spinors to the structure of general relativity

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