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- TL;DR Summary
- Is Seth Lloyd's cosmological model background independent?

I have been interested in Seth Lloyd's cosmological model (which proposes that the universe is a some kind of quantum computer or at least similar to it: https://en.wikipedia.org/wiki/Programming_the_Universe, https://arxiv.org/abs/quant-ph/0501135) since long ago.

I was wondering if his cosmological model was background independent.

Max Tegmark proposed a hypothesis where all mathematical structures would have physical existence.

I found a short review that Lloyd made about Tegmark's book "Our Mathematical Universe":

"*In Our Mathematical Universe, renowned cosmologist Max Tegmark takes us on a whirlwind tour of the universe, past, present—and other. With lucid language and clear examples, Tegmark provides us with the master measure of not only of our cosmos, but of all possible universes. The universe may be lonely, but it is not alone*."

This made think that Lloyd agreed with Tegmark's views and therefore his model was compatible with all Tegmark's universes. I mean, that his model could "produce" all universes proposed by Tegmark, or that his model would be compatible with any universe (mathematical structure) proposed by Tegmark.

But is this right? Could Lloyd's model produce all universes (mathematical structures) proposed by Tegmark? Would this model be compatible with all of them? Even uncomputable ones?

I was wondering if his cosmological model was background independent.

Max Tegmark proposed a hypothesis where all mathematical structures would have physical existence.

I found a short review that Lloyd made about Tegmark's book "Our Mathematical Universe":

"*In Our Mathematical Universe, renowned cosmologist Max Tegmark takes us on a whirlwind tour of the universe, past, present—and other. With lucid language and clear examples, Tegmark provides us with the master measure of not only of our cosmos, but of all possible universes. The universe may be lonely, but it is not alone*."

This made think that Lloyd agreed with Tegmark's views and therefore his model was compatible with all Tegmark's universes. I mean, that his model could "produce" all universes proposed by Tegmark, or that his model would be compatible with any universe (mathematical structure) proposed by Tegmark.

But is this right? Could Lloyd's model produce all universes (mathematical structures) proposed by Tegmark? Would this model be compatible with all of them? Even uncomputable ones?