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Teleparallel Complex Gravity as Foundation for Noncommutative Gravity
High Energy Physics - Theory · Submitted 24 Jul 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present a teleparallel complex gravity as the foundation for the formulation of noncommutative gravity theory.
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We present a teleparallel complex gravity as the foundation for the formulation of noncommutative gravity theory. The negative energy ghosts in the conventional formulation with U(1,3) local Lorentz connection no longer exists, since the local Lorentz invariance is broken down to U(1,3) global Lorentz symmetry. As desired, our teleparallel complex gravity theory also passes the key classical test of perihelion advance of Mercury. Based on this result, we present a lagrangian for the noncommutative teleparallel gravity theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a teleparallel complex gravity as the foundation for the formulation of noncommutative gravity theory. | contribution 1.00 | 0.92 | 0.55 | asserted 1.00 |
| s1 | The negative energy ghosts in the conventional formulation with U(1,3) local Lorentz connection no longer exists, since the local Lorentz invariance is broken down to U(1,3) global Lorentz symmetry. | result 0.92 | 0.70 | 0.19 | asserted 1.00 |
| s2 | As desired, our teleparallel complex gravity theory also passes the key classical test of perihelion advance of Mercury. | result 1.00 | 0.86 | 0.13 | asserted 0.99 |
| s3 | Based on this result, we present a lagrangian for the noncommutative teleparallel gravity theory. | contribution 0.99 | 0.93 | 0.22 | asserted 1.00 |
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Original abstract
We present a teleparallel complex gravity as the foundation for the formulation of noncommutative gravity theory. The negative energy ghosts in the conventional formulation with U(1,3) local Lorentz connection no longer exists, since the local Lorentz invariance is broken down to U(1,3) global Lorentz symmetry. As desired, our teleparallel complex gravity theory also passes the key classical test of perihelion advance of Mercury. Based on this result, we present a lagrangian for the noncommutative teleparallel gravity theory.
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References
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2 arXiv papers cite this in 2 sentences
Papers citing it
Cites it as background 2 papers
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There are various approaches to quantum gravity where the entropy of black holes corresponds with the Bekenstein-Hawking formula, such as string theory [ref] , quantum geometry [ref] , conformal field theory [ref] , AdS/CFT duality [ref] , higher loop corrections [ref] , nonlocal effective field theories [ref] , entanglement entropy [ref] , noncommutative geometry [ref] , etc.
Entropy of black holes, charged probes and noncommutative generalization · Introduction · 0.97
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Finally, there are various other approaches to noncommutative gravity like flat cleft extensions [ref] , quantum jet bundles [ref] , self-dual gravity [ref] , teleparallel gravity [ref] , symplectic gravity [ref] , so-called $κ$-deformed metrics [ref] , curved Moyal product [ref] or through AdS/CFT correspondence [ref] .
Gauge theory models on $\kappa$-Minkowski space: Results and prospects · Outlook. · 1.00
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