12
1996-11
discovery
levels
theory
quantity
quantum gravity
relativity
basic idea
idea
spinors
structure
quantized quantity
connected manifolds
perspective
new approach
Lagrangian formulation
1996-11-01
gravity
approach
metric structure
absence
article
https://scigraph.springernature.com/explorer/license/
https://doi.org/10.1007/bf02741479
tensor
manifold
elements
2022-08-04T16:51
background
problem
Carmeli
metric tensor
field
gauge theory
abstraction
Lagrangian
confluence
articles
components
general differentiable manifolds
differentiable manifold
formulation
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’s 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’s theory on affinely connected, rather than metric space-time; and, finally, 4) the discovery of the possibility to have a Lagrangian formulation of Carmeli’s 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.
general relativity
new perspective
quantization
theory formulation
gauge theory formulation
1405-1414
suggested approach
false
possibility
different levels
A new perspective on quantum gravity
Carmeli
M.
S.
Malin
pub.1028486691
dimensions_id
Springer Nature
1826-9877
Il Nuovo Cimento B (1971-1996)
Springer Nature - SN SciGraph project
111
Department of Physics and Astronomy, Colgate University Hamilton, 13346, NY, USA
Department of Physics and Astronomy, Colgate University Hamilton, 13346, NY, USA
Mathematical Sciences
doi
10.1007/bf02741479
Pure Mathematics
Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel
Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel