On the relation between boundary proposals and hidden symmetries of the extended pre-big bang quantum cosmology

Jalalzadeh, S.; Rostami, T.; Moniz, Paulo Vargas

doi:10.1140/epjc/s10052-014-3241-4

Cited by 8 publications

(23 citation statements)

References 43 publications

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“…Nevertheless, other boundary conditions can be put forward with well known results, which have been widely investigated in the literature, including consistency and potential observational features. It would be interesting to find some algebraic support for them, along the lines discussed in this review (and [1][2][3][4][5] ), but the statements defining the main boundary conditions are more of a 'topological' nature for the minisuperspaces involved and hence it is not obvious whether this can be achieved. Moreover, singularities of a differential nature can be present in a given cosmology and a discussion involving them as well as conditions on Ψ and admissible boundary conditions by means of the algebra of constraints is indeed quite worthy to venture into, namely within the context of hidden symmetries and 'beyond' (e.g., supersymmetry).…”

Section: The Supersymmetric Doormentioning

confidence: 99%

“…An interesting realization of this plan was initially provided in [2][3][4] , where boundary proposals can be selected by means of a careful analysis of the algebra associated to the Dirac observables.…”

Section: The Supersymmetric Doormentioning

confidence: 99%

“…The su (1,1) hidden symmetry of that model with the set of gauge invariant of the Bargmann values { In Ref. 4 , by a similar procedure, the hidden symmetries present in a pre-big bang model were identified, namely u(1, 1) together with time reversal and parity. These lead to the Hamiltonian of the model being equivalent to an oscillator-ghostoscillator system.…”

Section: The Supersymmetric Doormentioning

confidence: 99%

See 2 more Smart Citations

Quantum cosmology: The (supersymmetric) door

Rostami¹,

Jalalzadeh²,

Moniz³

2017

The Fourteenth Marcel Grossmann Meeting

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We summarize, in a brief manner, by means of a specific example, some of the basic essentials regarding recent results intertwining boundary conditions, the algebra of constraints and hidden symmetries in quantum cosmology. Herewith we point that if we identify integrability conditions, we can import features of supersymmetric quantum mechanics towards quantum cosmology. This opens a route towards connecting hidden symmetries, algebra of Dirac observables and boundary conditions (not ad hoc formulated) within an intrinsic supersymmetric framework. Furthermore, this endorses DeWitt's conjecture that "the constraints are everything" and nothing else but the constraints should be needed.

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Section: The Supersymmetric Doormentioning

confidence: 99%

Section: The Supersymmetric Doormentioning

confidence: 99%

Section: The Supersymmetric Doormentioning

confidence: 99%

See 1 more Smart Citation

Quantum cosmology: The (supersymmetric) door

Rostami¹,

Jalalzadeh²,

Moniz³

2017

The Fourteenth Marcel Grossmann Meeting

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“…In this respect, an independent physical law may define appropriate boundary conditions [39]. Or, as we discuss herein, symmetries of the cosmological model under investigation may suggest arguments for that selection [1,2]. Indeed, from the hidden symmetries present in our model, we can extract different types of boundary conditions.…”

Section: Hidden Symmetries Factor Ordering and Hilbert Spacementioning

confidence: 99%

“…Therein, the scale factor duality of that model together with time reversal, allows us to specify the appropriate boundary conditions. Therefore, from the results conveyed in [1,2], hidden symmetries present in the Hamiltonian, in addition to the minisuperspace symmetries of the model under investigation, suggest a process from which to select boundary conditions.…”

Section: Introductionmentioning

confidence: 98%

Quantum cosmological intertwining: Factor ordering and boundary conditions from hidden symmetries

2015

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We explore the implications of hidden symmetries present in a particular quantum cosmological setting, extending the results reported in [1,2]. In more detail, our case study is constituted by a spatially closed Friedmann-Lemaître-Robertson-Walker universe, in the presence of a conformally coupled scalar field. The su(1, 1) hidden symmetries of this model, together with the Hamiltonian constraint, lead to the gauge invariance of its corresponding Bargmann indices. We subsequently show that some factor-ordering choices can be related to the allowed spectrum of Bargmann indices and hence, to the hidden symmetries. Moreover, the presence of those hidden symmetries also implies a set of appropriate boundary conditions to choose from. In summary, our results suggest that factor ordering and boundary conditions can be intertwined when a quantum cosmological model has hidden symmetries.

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Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem

Jalalzadeh

Capistrano

Moniz

2017

Physics of the Dark Universe

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We endorse the context that the cosmological constant problem is a quantum cosmology issue. Therefore, in this paper we investigate the q-deformed Wheeler-DeWitt equation of a spatially closed homogeneous and isotropic Universe in the presence of a conformally coupled scalar field. Specifically, the quantum deformed Universe is a quantized minisuperspace model constructed from quantum Heisenberg-Weyl U q (h 4 ) and U q (su(1, 1)) groups. These intrinsic mathematical features allow to establish that (i) the scale factor, the scalar field and corresponding momenta are quantized and (ii) the phase space has a non-equidistance lattice structure. On the other hand, such quantum group structure provides us a new framework to discuss the cosmological constant problem. Subsequently, we show that a ultraviolet cutoff can be obtained at 10 −3 eV , i.e., at a scale much larger than the expected Planck scale. In addition, an infrared cutoff, at the size of the observed Universe, emerges from within such quantum deformation of Universe. In other words, the spectrum of the scale factor is upper bounded. Moreover, we show that the emerged cosmological horizon is a quantum sphere S 2 q or, alternatively, a fuzzy sphere S 2 F which explicitly exhibits features of the holographic principle. The corresponding number of fundamental cells equals the dimension of the Hilbert space and hence, the cosmological constant can be presented as a consequence of the quantum deformation of the FLRW minisuperspace.

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On the relation between boundary proposals and hidden symmetries of the extended pre-big bang quantum cosmology

Cited by 8 publications

References 43 publications

Quantum cosmology: The (supersymmetric) door

Quantum cosmology: The (supersymmetric) door

Quantum cosmological intertwining: Factor ordering and boundary conditions from hidden symmetries

Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem

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