4. Sitter Entropy Correction
Number of bubbles with value LL certain is proportional to the available phase volume:N()eSdS=exp(3MPl2).N()andSdS=exp(L3MPl2).
So, the probability of observation Pobs(L)Pobs(L) is: Pobs()N()P()exp(3MPl2823H4). Pobs()N()P()exp(L3MPl23H48p2L).
5. Value Prediction obs Lobs Maximize it Pobs(L)Pobs(L) to LL: dd(3MPl2823H4)=0obs9H48MPl2.dLd(L3MPl23H48p2L)=0you8MPl29H4. For H105MPl H105MPl (typical inflation scale): obs10122MPl4. Lobs10122MPl4.
Vital Records
Consistency with Observation Limits: Prediction obs10122MPl4 Lobs10122MPl4 according to the observation value.
Dependence on HH: Inflation scale HH must be set in order LL not too small/small hidden fine-tuning).
Generalization: For arbitrary potentials, the FP solution can be solved numerically by finite difference methods.
With this formalism, the model strictly links inflaton quantum fluctuations, multiverse statistics, and value L which is observed.
3. Numerical Simulation
3.1 Simulation Protocol
