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Contrasting LQC and WDW Theory Using an Exactly Solvable Model

Contrasting LQC and WDW Theory Using an Exactly Solvable Model

Contrasting LQC and WDW Theory Using an Exactly Solvable Model

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Motivation<br />

Extensive <strong>an</strong>alytical <strong><strong>an</strong>d</strong> numerical methods in <strong>LQC</strong>: valuable insights<br />

on singularity resolution in symmetry reduced models.<br />

(Ashtekar, Pawlowski, PS (06-) + V<strong><strong>an</strong>d</strong>ersloot (07))<br />

Consider a semi-classical state in a large universe at low curvature<br />

<strong><strong>an</strong>d</strong> evolve backward towards big b<strong>an</strong>g. State follows classical<br />

trajectory till it reaches close to Pl<strong>an</strong>ck scale. Does not fall into<br />

singularity, but bounces in Pl<strong>an</strong>ck regime to a pre-big b<strong>an</strong>g br<strong>an</strong>ch.<br />

Underlying discrete qu<strong>an</strong>tum geometry leads to repulsive QG<br />

effects at Pl<strong>an</strong>ck scale. Classical Big B<strong>an</strong>g replaced by Qu<strong>an</strong>tum Big<br />

Bounce.<br />

Some open questions:<br />

IGC Inaugural Conference – p.2

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