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20022009
most citedPolymer Quantum Mechanics and its Continuum Limit

185 citations

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gr-qc2009★ 136 cited

A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology

Alejandro Corichi, Parampreet Singh

We re-examine the issue of singularity resolution in homogeneous loop quantum cosmology from the perspective of geometrical entities such as expansion rate and the shear scalar. Th…

gr-qc2008★ 13 cited

Reply to `Comment on "Quantum Bounce and Cosmic Recall"' [arXiv:0811.2790]

Alejandro Corichi, Parampreet Singh

A recent Comment [arXiv:0811.2790] on the Letter 'Quantum Bounce and Cosmic Recall' by the authors is shown to arise from an incorrect understanding of the issues at hand and of ou…

gr-qc2008★ 139 cited

Is loop quantization in cosmology unique?

Alejandro Corichi, Parampreet Singh

We re-examine the process of loop quantization for flat isotropic models in cosmology. In particular, we contrast different inequivalent `loop quantizations' of these simple models…

gr-qc2007★ 105 cited

Quantum bounce and cosmic recall

Alejandro Corichi, Parampreet Singh

Loop quantum cosmology predicts that, in simple models, the big bang singularity of classical general relativity is replaced by a quantum bounce. Because of the extreme physical co…

gr-qc2007★ 2 cited

Quantum Structure of Geometry: Loopy and fuzzy?

Alejandro Corichi, Jose A. Zapata

In any attempt to build a quantum theory of gravity, a central issue is to unravel the structure of space-time at the smallest scale. Of particular relevance is the possible defini…

gr-qc2007★ 185 cited

Polymer Quantum Mechanics and its Continuum Limit

Alejandro Corichi, Tatjana Vukasinac, Jose A. Zapata

A rather non-standard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation has gained some attention in r…