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CCCC – p. 23<br />

Ill-posed bounce<br />

Bounce models require high density, where signature turns<br />

Euclidean.<br />

→ Quantum space-time: no metric/line element, but deformed<br />

constraint algebra determines space(-time) structure.<br />

→ Physical consequence: elliptic ra<strong>the</strong>r than hyperbolic partial<br />

differential equations for physical modes.<br />

No deterministic evolution. No initial-value problem.<br />

→ Signature change not a consequence of small<br />

inhomogeneity:<br />

Inhomogeneity only used to probe space-time structure<br />

because homogeneous models are too restrictive.<br />

→ Does not rely on subtleties of perturbation <strong>the</strong>ory:<br />

Same effects in spherically symmetric models.

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