According to cosmological inflationary models, different universes governed by different effective/low-energy laws of physics could exist, but the most fundamental laws of nature would remain the same. In other words, while the effective laws of physics would change, fundamental laws would stay the same.
But is this always true? Could Inflation give birth to universes with extremely different laws of physics? Even different fundamental laws of physics?
I am asking this because some of the most famous proponents of cosmological inflation models seem to suggest this possibility:
For example, Andrei Linde is one of the most prominent physicists that propose that inflation theory is true. In one of his articles 1 he says:
Inflationary theory allows our universe to be divided into different parts with different laws of low-energy physics that are allowed by the unique fundamental theory. Most importantly, it makes each of such domains exponentially large, which is a necessary part of justification of the anthropic principle. The diversity of possible laws of physics can be very high, especially in the models of eternal chaotic inflation where quantum fluctuations can have an extremely large amplitude, which makes the transition between all possible states particularly easy.
So far, he has explained that cosmological inflation models would predict universes where the effective laws of a more fundamental theory would change, while the fundamental laws of that theory would remain the same. Nothing new.
But then, he says:
In addition to that, one can consider different universes with different laws of physics in each of them. This does not necessarily require introduction of quantum cosmology, many-world interpretation of quantum mechanics, and baby universe theory. It is sufficient to consider an extended action represented by a sum of all possible actions of all possible theories in all possible universes. One may call this structure a ‘multiverse.’
And then he proposes the universes with different fundamental laws of physics could exist.
This seems to indicate that in inflation theory we could also consider or include universes where not only low-energy laws of physics would be different, but also the more fundamental ones. The problem is that the author does not clarify and does not indicate whether is it there any specific version of inflation theory that allows this.
Also, Andreas Albrecht, one of the discoverers of inflation, has proposed in multiple occasions that fundamental laws of physics are not so fundamental because when a universe is born, its fundamental laws are selected among a random set of laws, as it is indicated here 2:
I have argued that a standard approach to defining time in quantum gravity leads to absolute ambiguity in the fundamental laws of physics
Since he is one of the creators of inflation, I assume he thinks that the fundamental laws of physics could change between universes in the context of inflationary cosmology.
So, my question is: Could the basic fundamental laws of physics change between universes in cosmological inflationary models? Is it there any model of inflation where there could be different universes governed by different laws of high-energy physics? Could there be universes governed by different theories at high energy physics?