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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<strong>WDW</strong> & S<strong>LQC</strong> <strong><strong>an</strong>d</strong> the lack of continuum limit<br />
For a fixed value of λ select Ψ0(b):〈ˆV |φ=0〉λ = 〈ˆV |φ=0〉<strong>WDW</strong> =: V0<br />
Relative difference: bounded in future evolution<br />
|〈 ˆ V 〉<strong>WDW</strong>(φ) − 〈 ˆ V 〉λ(φ)|/〈 ˆ V 〉<strong>WDW</strong>(φ) ≤ δ := I1/V0 (very small)<br />
For a given φT <strong><strong>an</strong>d</strong> ǫ > 0, ∃ λ (ǫ,T) > 0 such that,<br />
|〈ˆV 〉<strong>WDW</strong>(φ) − 〈ˆV 〉λ(φ)| < ǫ<br />
IGC Inaugural Conference – p.11
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