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Singularity resolution from polymer quantum matter
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We study the polymeric nature of quantum matter fields using the example of a Friedmann-Lemaitre-Robertson-Walker universe sourced by a minimally coupled massless scalar field. The model is treated in the symmetry reduced regime via deparametrization techniques, with the scale factor playing the role of time. Subsequently, the remaining dynamic degrees of freedom corresponding to the matter are polymer quantized. The analysis of the resulting genuine quantum dynamic shows that the big bang singularity is resolved, although with the form of the resolution differing significantly from that in the models with matter clocks: dynamically, the singularity is made passable rather than avoided. Furthermore, this analysis exposes crucial limitations to the so-called effective dynamic in loop quantum cosmology when applied outside of the most basic isotropic settings.
Forward citations
Cited by 3 Pith papers
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Polymer quantum mechanics on compact configuration spaces
Polymer quantization on compact spaces yields finite graph Hilbert spaces whose exact ring and box spectra recover Schrödinger QM as lattice spacing vanishes.
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Polymer Bianchi-I with polymer matter
In a Bianchi-I universe with polymer quantization of both geometry and a massless scalar, the matter polymer scale shifts the quantum bounce and alters volume and anisotropy evolution.
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Polymer cosmology with polymer matter: Effective dynamics
A polymer-quantized scalar field on a polymer-quantized FLRW background produces a bounce whose location depends on the matter polymer scale, with generic asymmetric evolution across the bounce.
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