Quantum corrections to the spacetime metric from geometric phase space quantization

Caianiello, E. R.; Feoli, A.; Gasperini, M.; Scarpetta, G.

doi:10.1007/bf00671323

Cited by 63 publications

(57 citation statements)

References 22 publications

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“…The resolution of classical singularities under the assumption of a maximal acceleration has been studied using canonical methods for Rindler [24], Schwarzschild [25], Reissner-Nordstrom [26], Kerr-Newman [27] and Friedman-Lemaître [28] metrics. Here we consider a simple homogeneous and isotropic cosmological model, with vanishing spatial curvature and pressure.…”

Section: Cosmologymentioning

confidence: 99%

Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity

Rovelli

Vidotto

2013

Phys. Rev. Lett.

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Section: Cosmologymentioning

confidence: 99%

Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity

Rovelli

Vidotto

2013

Phys. Rev. Lett.

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“…The starting point of our consideration will be the classical model of a relativistic particle with maximal proper acceleration [12][13][14]. Upon quantizing this model the equations for the wave functions can be treat as the dynamical equations for the corresponding field function.…”

Section: Introductionmentioning

confidence: 99%

Regularizing property of the maximal acceleration principle in quantum field theory

Nesterenko¹,

Feoli

Lambiase

et al. 1999

Phys. Rev. D

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It is shown that the introduction of an upper limit to the proper acceleration of a particle can smooth the problem of ultraviolet divergencies in local quantum field theory. For this aim, the classical model of a relativistic particle with maximal proper acceleration is quantized canonically by making use of the generalized Hamiltonian formalism developed by Dirac. The equations for the wave function are treated as the dynamical equations for the corresponding quantum field. Using the Green's function connected to these wave equations as propagators in the Feynman integrals leads to an essential improvement of their convergence properties. 03.70.+k, 03.65.Pm, 11.90.+t Typeset using REVT E X *

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“…In all these works space-time is endowed with a causal structure in which the proper accelerations of massive particles are limited. This is achieved by means of an embedding procedure pioneered in [20] and discussed at length in [16], [21] . The procedure stipulates that the line element experienced by an accelerating particle is represented by…”

mentioning

confidence: 99%

“…[1], [2], [16]. Though the effective potentials experienced by classical and quantum particles are different, their effects are similar.…”

mentioning

confidence: 99%

Massive scalar particles in a modified Schwarzschild geometry

Capozziello¹,

Feoli²,

Lambiase³

et al. 2000

Physics Letters A

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Quantum corrections to the spacetime metric from geometric phase space quantization

Cited by 63 publications

References 22 publications

Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity

Evidence for Maximal Acceleration and Singularity Resolution in Covariant Loop Quantum Gravity

Regularizing property of the maximal acceleration principle in quantum field theory

Massive scalar particles in a modified Schwarzschild geometry

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