High energy symmetry breaking and laws of physics?

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Suekdccia
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TL;DR
If symmetry breaking occurred at very high energies at the beginning of the universe, could our fundamental laws of physics have been different?
In some models of the beginning of the universe, like for example in chaotic inflation, space would stop expanding in some points, creating Hubble volumes that could experience different spontaneous symmetry breaking, which would result in different properties, such as different physical constants or different effective laws.

But could the symmetry breaking have occurred at very high energies?. If that is the case, and assuming that multiple universes could exist, would these regions have radically different fundamental laws of physics even at high energies (instead of just different effective laws of low-energy physics) because of that symmetry breaking at very high energies?
 
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mfb said:
There might be additional symmetries that are broken spontaneously at higher energies that we don't know about, sure.

And if symmetries were broken differently at very high energies would that result in radically different fundamental laws of physics (as it is indicated in this page (see post #32 and #34: https://www.physicsforums.com/threads/do-dark-matter-and-dark-energy-have-an-effect-on-the-red-shift.940668/page-2)?