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- Questions about the Multiverse hypothesis and the 'No boundary' conditions approach in cosmology

**Summary:**Questions about the Multiverse hypothesis and the 'No boundary' conditions approach in cosmology

I have some questions about James Hartle and Stephen Hawking's 'No-boundary' proposal:

- In their approach multiple histories would exist. These histories could yield universes with different constants or laws. But would these histories yield radically fundamental constants and laws?

- In Max Tegmark's hypothesis of Mathematical Universe Hypothesis he says that there are no initial/boundary conditions and because of that, there is a vast multiverse where each universe is governed by at least one different mathematical structure. This hypothesis proposes that every mathematical structure exists as a universe.

Since Hartle and Hawking's proposal also says that there are no specified boundary/initial conditions, then, could it yield histories corresponding to the universes proposed by Tegmark? Could their proposal yield universes governed by all mathematical structures?

- If the answer to #2 is basically 'yes', then, couldn't we find histories of universes governed by different fundamental theories in their approach? For example, we could find universes governed by the standard model, by quantum mechanics, by classical mechanics, by M-theory or string theory, by inflation, by causal networks...etc, correct?