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The possible world interpretation of modal operators (Kripke 1959) is related to the notion of 'state description' introduced by Carnap (1947).
It is clear that this phenomenon has a relation with both the possible world interpretation of modal operators and the notion of information.
In a more comprehensive exposition of possible world semantics, the definition of a possible world interpretation would include a binary accessibility relation R on the set W of worlds and the modal clause would say that ⌈◻ψ⌉ is true at w if and only if ψ is true at all worlds u that are accessible from w i.e., all worlds u such that Rwu.
This aspect distinguishes modal interpretations from many-worlds interpretations, where the probability measure is defined on a space of events that are all actual.
Now whatever one thinks of the merits of many worlds interpretations, and of this understanding of it applied to mixtures, in the end one does not obtain genuine time travel in Deutsch's account.
It's the quantum-mechanical many-worlds interpretation put into practice.
This view comported well with the "many worlds" interpretation of quantum mechanics.
According to this "many worlds" interpretation, all the different ways history might have unfolded coexist in superposition.
The scientist Hugh Everett came up with his Many Worlds Interpretation of quantum physics proposing that parallel universes exist in 1957.
To those who find the Many Worlds Interpretation needlessly baroque, Deutsch writes, "the quantum theory of parallel universes is not the problem — it is the solution...
For Deutsch, to really understand the workings of a quantum computer necessitates subscribing to Hugh Everett's Many Worlds Interpretation of quantum mechanics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com