Wavefunction of the Universe considering all possible boundaries?

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SUMMARY

The discussion centers on the Hawking-Hartle no boundary condition, which posits that the universe adheres to consistent fundamental laws of physics across all scenarios. The authors explored the concept of a many worlds/histories model that sums over compact Euclidean metrics. However, it was concluded that no existing models or theories account for a sum over all possible metrics or boundaries. Thus, even when considering different worlds or histories, they remain governed by the same fundamental laws of physics.

PREREQUISITES
  • Understanding of the Hawking-Hartle no boundary condition
  • Familiarity with many worlds interpretation in quantum mechanics
  • Knowledge of compact Euclidean metrics
  • Basic principles of theoretical physics
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  • Research the implications of the Hawking-Hartle no boundary condition in cosmology
  • Explore the many worlds interpretation of quantum mechanics
  • Investigate compact Euclidean metrics and their applications in theoretical physics
  • Study the relationship between fundamental laws of physics and different cosmological models
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The discussion is beneficial for theoretical physicists, cosmologists, and students interested in the foundations of quantum mechanics and the nature of the universe.

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Are there any models or theories of "many worlds/histories" that consider a sum over all possible boundary conditions?
The Hawking-Hartle no boundary condition is well known. The authors considered a many worlds/histories model considering a sum over all compact euclidean metrics.

But are there any models or theories that consider a sum over all possible metrics or boundaries?

And finally, if all possible boundaries are considered, does it mean that the different worlds/histories considered in the model would be described by radically different fundamental laws of physics?
 
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No, there are no models or theories that consider a sum over all possible metrics or boundaries. The Hawking-Hartle no boundary condition does not consider the sum of all possible metrics or boundaries, but instead assumes that the universe obeys the same fundamental laws of physics everywhere. This means that the different worlds/histories considered in the model will be described by the same fundamental laws of physics.
 

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