Results 91 to 100 of about 475,708 (204)

Operator geometry and algebraic gravity [PDF]

open access: yesarXiv, 2006
An algebraic formulation of general relativity is proposed. The formulation is applicable to quantum gravity and noncommutative space. To investigate quantum gravity we develop the canonical formalism of operator geometry, after reconstructing an algebraic canonical formulation on analytical dynamics. The remarkable fact is that the constraint equation
arxiv  

Born-Infeld Inspired Gravity in Covariant Canonical Formalism [PDF]

open access: yesarXiv
We study Born-Infeld inspired gravity in covariant canonical formalism. We determine corresponding Hamiltonian and equations of motion.
arxiv  

Representations of relativity, quantum gravity and cosmology [PDF]

open access: yesGrav.Cosmol. 3 (1997) 217-232, 1997
We review an attempt to set a suitable foundational principle for consistent quantization of gravity based on the canonical formulation. It requires extending the spacetime description of the relativistic postulates to also encompass an alternative formulation in momentum-energy continuum where the inertial physical laws can be equivalently described ...
arxiv  

Statistical Thermodynamics of Polymer Quantum Systems

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
Polymer quantum systems are mechanical models quantized similarly as loop quantum gravity. It is actually in quantizing gravity that the polymer term holds proper as the quantum geometry excitations yield a reminiscent of a polymer material.
Guillermo Chacón-Acosta   +3 more
doaj   +1 more source

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