.
_:Ne89d1965ad2b4fe2ab72eec4a30887ea .
.
"new approach" .
"field" .
"general differentiable manifolds" .
"https://scigraph.springernature.com/explorer/license/" .
"general relativity" .
.
"formulation" .
"possibility" .
"confluence" .
"metric tensor" .
"Mathematical Sciences" .
"tensor" .
.
"articles" .
"problem" .
_:N14ed2e589766407fa90434ef886f141c "doi" .
"perspective" .
"abstraction" .
"false"^^ .
"Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel" .
"gravity" .
_:N4657a8b385624834bb20228e8048a1ca "Springer Nature - SN SciGraph project" .
_:N14ed2e589766407fa90434ef886f141c "10.1007/bf02741479" .
_:Nd4db10ea9bc64d38a4dd34e721f72038 .
"quantized quantity" .
.
"Il Nuovo Cimento B (1971-1996)" .
"different levels" .
"differentiable manifold" .
"Malin" .
"suggested approach" .
.
.
"Lagrangian formulation" .
"idea" .
.
_:Nd4db10ea9bc64d38a4dd34e721f72038 "pub.1028486691" .
"We present a new approach to quantum gravity whose basic idea is a confluence of four elements: 1) the possibility of working with manifolds on three different levels of abstraction, which are i) a general differentiable manifold; ii) an affmely connected manifold; iii) a manifold with a metric structure; 2) Carmeli\u2019s SL(2, C) gauge theory formulation of General Relativity, which implies the possibility that the quantities that need to be quantized are spinor potential and/or fields, rather than the components of the metric tensor; 3) the formulation of Carmeli\u2019s theory on affinely connected, rather than metric space-time; and, finally, 4) the discovery of the possibility to have a Lagrangian formulation of Carmeli\u2019s theory on general differentiable manifolds. In the suggested approach, then, the quantized quantities are not the components of the metric tensor but quantities that arise naturally in the SL(2, C) gauge theory, and the problem of the absence of a space-time with a given structure as a background does not arise, because the quantization is based on a Lagrangian defined over a general differentiable manifold." .
_:Nd4db10ea9bc64d38a4dd34e721f72038 .
_:Nc482be50b91a4f8194be3c5782a6fedf .
"connected manifolds" .
.
"1405-1414" .
"Lagrangian" .
"Springer Nature" .
"2022-08-04T16:51" .
"theory formulation" .
"article" .
"metric structure" .
_:N44aed1e79a6e4623b70e9994df78b005 "111" .
.
.
"discovery" .
"elements" .
"1996-11" .
"Carmeli" .
.
"quantity" .
"1826-9877" .
"M." .
"Carmeli" .
_:N17b5cf3227d042e3b5da7a306f87378a _:Nc482be50b91a4f8194be3c5782a6fedf .
.
_:N17b5cf3227d042e3b5da7a306f87378a .
_:N4657a8b385624834bb20228e8048a1ca .
"structure" .
.
.
"https://doi.org/10.1007/bf02741479" .
"S." .
_:N14ed2e589766407fa90434ef886f141c .
"theory" .
.
"Department of Physics and Astronomy, Colgate University Hamilton, 13346, NY, USA" .
"manifold" .
.
_:N44aed1e79a6e4623b70e9994df78b005 .
_:N14ed2e589766407fa90434ef886f141c .
_:Nd4db10ea9bc64d38a4dd34e721f72038 "dimensions_id" .
"Department of Physics and Astronomy, Colgate University Hamilton, 13346, NY, USA" .
"quantum gravity" .
"gauge theory" .
.
"Pure Mathematics" .
_:Ne89d1965ad2b4fe2ab72eec4a30887ea "12" .
.
"new perspective" .
"Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel" .
.
_:N17b5cf3227d042e3b5da7a306f87378a .
_:N44aed1e79a6e4623b70e9994df78b005 .
.
"gauge theory formulation" .
"absence" .
_:Nc482be50b91a4f8194be3c5782a6fedf .
"spinors" .
.
"levels" .
"1996-11-01" .
"A new perspective on quantum gravity" .
"approach" .
"basic idea" .
_:Ne89d1965ad2b4fe2ab72eec4a30887ea .
.
"quantization" .
_:N4657a8b385624834bb20228e8048a1ca .
"relativity" .
.
"background" .
"components" .