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A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loop quantum gravity.… (More)

Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian… (More)

In contrast to scalar and tensor modes, vector modes of linear perturbations around an expanding Friedmann?Robertson?Walker universe decay. This makes them largely irrelevant for late time cosmology,… (More)

We study free scalar field theory on flat spacetime using a background-independent (polymer) quantization procedure. Specifically we compute the propagator using a method that takes the energy… (More)

A consistent implementation of quantum gravity is expected to change the familiar notions of space, time and the propagation of matter in drastic ways. This will have consequences on very small… (More)

The Bianchi IX model has been used often to investigate the structure close to singularities of general relativity. Its classical chaos is expected to have, via the BKL scenario, implications even… (More)

For a class of solutions of the fundamental difference equation of isotropic loop quantum cosmology, the difference equation can be replaced by a differential equation valid for all values of the… (More)

- Ghanashyam Dattatraya Date, Golam Mortuza Hossain
- Physical review letters
- 2005

Nonperturbative corrections from loop quantum cosmology (LQC) to the scalar matter sector are already known to imply inflation. We prove that the LQC modified scalar field generates exponential… (More)

We consider a polymer quantization of a free massless scalar field in a homogenous and isotropic classical cosmological spacetime. This quantization method assumes that field translations are… (More)

We study the generation of primordial fluctuations in pure de Sitter inflation where the quantum scalar field dynamics are governed by polymer (not Schrodinger) quantization. This quantization scheme… (More)