Downloads provided by UsageCountsSpin & Torsion Tensors on Gauge Gravity: a Re-examination of the Einstein–Cartan Spatio-Temporal Theory
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Edoardo Niccolai;
Spin & Torsion Tensors on Gauge Gravity: a Re-examination of the Einstein–Cartan Spatio-Temporal Theory
This work aims to autonomously revisit some puncta salientia of the Einstein–Cartan (EC) theory, focusing wholly on the mathematical aspect, or, better still, emphasizing the differential geometry underlying the theory under examination, without the burden of sensible experiences (experiments) of Galilean heritage. It is shown that it is possible to describe, or rather, derive an Einsteinian-like gravitational field starting from a Cartan h-subalgebra, and thus produce a couple of formulæ for a torsioning in a (1 + 3)-dimensional manifold. Some Cartan k-forms and J-bundles, along with other Clifford bundles, and a Clifford k-form field, will help to circumscribe a 4D torsional spin-space. Follows an overview of quantum Yang–Mills gravity according to a geometro-topological schema. This opens up the exciting issue, not addressed here, of the emergence of space-time, indicating a manifolded-structure including its spin plus torsional foundations.
black (and white?) hole(s), Cartan h-subalgebra, Cartanian affine connections, Clifford bundles, Einstein–Cartan space-time, gauge gravity, J-bundles, k-forms, Lagrangian density, Lorentz space(-time), Minkowski space(-time), Poincaré group, Riemann–Cartan geometry, singularity, space-time manifold in a 4-dimensional spin-torsion balancing, spin & torsion tensors, Yang–Mills–Euler–Lagrange equation(s), Yang–Mills–Higgs equations, Yang–Mills-like geometry, Yang–Mills–Higgs bundle., black (and white?) hole(s), Cartan h-subalgebra, Cartanian affine connections, Clifford bundles, Einstein–Cartan space-time, gauge gravity, J-bundles, k-forms, Lagrangian density, Lorentz space(-time), Minkowski space(-time), Poincaré group, Riemann–Cartan geometry, singularity, space-time manifold in a 4-dimensional spin-torsion balancing, spin & torsion tensors, Yang–Mills–Euler–Lagrange equation(s), Yang–Mills–Higgs equations, Yang–Mills-like geometry, Yang–Mills–Higgs bundle., black (and white?) hole(s), Cartan h-subalgebra, Cartanian affine connections, Clifford bundles, Einstein–Cartan space-time, gauge gravity, J-bundles, k-forms, Lagrangian density, Lorentz space(-time), Minkowski space(-time), Poincaré group, Riemann–Cartan geometry, singularity, space-time manifold in a 4-dimensional spin-torsion balancing, spin-torsion tensor, Yang–Mills–Euler–Lagrange equation(s), Yang–Mills–Higgs equations, Yang–Mills-like geometry, Yang–Mills–Higgs bundle.
black (and white?) hole(s), Cartan h-subalgebra, Cartanian affine connections, Clifford bundles, Einstein–Cartan space-time, gauge gravity, J-bundles, k-forms, Lagrangian density, Lorentz space(-time), Minkowski space(-time), Poincaré group, Riemann–Cartan geometry, singularity, space-time manifold in a 4-dimensional spin-torsion balancing, spin & torsion tensors, Yang–Mills–Euler–Lagrange equation(s), Yang–Mills–Higgs equations, Yang–Mills-like geometry, Yang–Mills–Higgs bundle., black (and white?) hole(s), Cartan h-subalgebra, Cartanian affine connections, Clifford bundles, Einstein–Cartan space-time, gauge gravity, J-bundles, k-forms, Lagrangian density, Lorentz space(-time), Minkowski space(-time), Poincaré group, Riemann–Cartan geometry, singularity, space-time manifold in a 4-dimensional spin-torsion balancing, spin & torsion tensors, Yang–Mills–Euler–Lagrange equation(s), Yang–Mills–Higgs equations, Yang–Mills-like geometry, Yang–Mills–Higgs bundle., black (and white?) hole(s), Cartan h-subalgebra, Cartanian affine connections, Clifford bundles, Einstein–Cartan space-time, gauge gravity, J-bundles, k-forms, Lagrangian density, Lorentz space(-time), Minkowski space(-time), Poincaré group, Riemann–Cartan geometry, singularity, space-time manifold in a 4-dimensional spin-torsion balancing, spin-torsion tensor, Yang–Mills–Euler–Lagrange equation(s), Yang–Mills–Higgs equations, Yang–Mills-like geometry, Yang–Mills–Higgs bundle.
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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