Seems to me a good summary 😉

Le jeu. 9 janv. 2025, 11:33, PGC <[email protected]> a Ă©crit :

> This is getting circular. Brent’s single-world view treats the
> wavefunction âˆŁÎšâŸ©=∑i​αiâ€‹âˆŁÏ•i​⟩ as purely instrumental: it calculates
> probabilities for each outcome, but in the end only one outcome (âˆŁÏ•k​⟩)
> “actually happens.” Everything else is declared “not real.” This works fine
> for making predictions, yet offers no deeper reason why all other âˆŁÏ•j​⟩ (
> j=k) must be forcibly nullified. One must simply accept that, by some
> extra postulate or interpretation, the other possibilities vanish.
>
> Quentin’s many-worlds (or “all possibilities realized”) approach skips
> that forced collapse. Instead of removing alternate terms, it treats each
> âˆŁÏ•j​⟩ as persisting in a branching global state. The “randomness” we see
> is then about which branch “we” (as observers) occupy, rather than an
> inexplicable destruction of non-selected outcomes. So there’s no logical
> step that says, “Everything else is disallowed”; it’s all there in the
> broader superposition. Probabilities emerge from relative measures of those
> branches rather than from an unexplained single selection.
>
> In short, Brent’s stance is instrumentally consistent but depends on an
> unelaborated principle that kills off every competing outcome. Quentin’s
> stance avoids such “negation” by allowing all terms of the wavefunction to
> proceed. Whether that’s too big an ontological leap is a separate
> debate—but it at least doesn’t require a special rule that says, “Only one
> of these can exist; the rest never happened.” Brent, you're asking for
> "extra negation", pretending that you simplify when in fact, you add a
> whole new assumption. Similar to atheists who need to use the notion of god
> to assert ~god, thinking rather simplistically that you've cleaned up the
> whole mess.
>
> On Thursday, January 9, 2025 at 7:33:49 AM UTC+1 Brent Meeker wrote:
>
>>
>>
>>
>> On 1/8/2025 9:42 PM, Quentin Anciaux wrote:
>>
>> Brent,
>>
>> The issue I see with a single-world framework is the reliance on
>> possibilities that have no existence or causal link to the realized world.
>> In this view, possibilities are entirely notional, they don’t exist
>> ontologically, and they have no impact on the single realized history. This
>> makes their invocation seem unnecessary, even absurd, because they don’t
>> contribute to the reality we observe in any meaningful way.
>>
>> But they do.  They reduce its probability of occurence.
>>
>>
>> If the only thing that exists is the realized world, why appeal to a
>> theoretical ensemble of possibilities?
>>
>> Because that's what the equations of quantum mechanics produces.  We're
>> not "appealing to them" where taking them into account as things that might
>> occur.  That's why the Born rule assigns probabilities less than one to
>> them.
>>
>>
>> It’s as if the single-world view borrows the language and tools of
>> probability to describe outcomes but discards the explanatory depth
>> provided by an actual ensemble.
>>
>> I'd say that's looking at it exactly backwards, as though the "tools of
>> probability" on applied to cases that were really deterministic (had
>> explanatory depth) and what work is done by the word "actual" in "actual
>> ensemble".  Usually it is an ensemble of possibilities.  When you're dealt
>> a bridge hand no one supposes that all other possible hands are dealt
>> somewhere else; it is enough that they merely possible.  During the Viet
>> Nam was I calculated the probability of dropping a bridge with a Walleye, I
>> calculated the probability of a missile failure causing it to hit the
>> launching aircraft, I calculated the probability of a wayward missile going
>> out of the range safety boundaries, and dozens of other probabilities.  I
>> was always considering a range of instances and their contrary; but I never
>> needed to suppose the instances were actually anything more than
>> possibilities.  They didn't have to happen anywhere in any world.
>>
>>
>> Without the existence of unrealized possibilities, the concept of
>> "randomness" seems like a placeholder for "it just happened this way,"
>> offering no real insight into why this one history unfolded.
>>
>> No, it's a "placeholder" for it could have happened these other ways but
>> didn't.
>>
>>
>> In contrast, in a multiverse framework, the ensemble is not merely
>> theoretical, it has ontological status.
>>
>> Yes, it's like a bridge tournament in which all possible hands are dealt
>> at different tables and then you pick one to sit *at random*.  But wait,
>> that's absurd, we must sit down at every table.  And then we must play
>> every possible card in every possible order.  Otherwise we cannot speak of
>> the probability of making our bid.
>>
>> The possibilities exist and have causal relationships within the broader
>> structure. This provides coherence to the use of probability, as it
>> describes the distribution of outcomes across the ensemble, not just within
>> a single, isolated history.
>>
>> The single-world framework effectively asks us to accept a universe where
>> unrealized possibilities are invoked to explain outcomes, yet they have no
>> actual role in shaping reality.
>>
>> Sure they do.  If they are things that might possibily happen then they
>> reduce the probability of something else happening.
>>
>> Brent
>>
>> This reliance on something that neither exists nor affects the realized
>> world strikes me as deeply incoherent.
>>
>> Quentin
>>
>> Le jeu. 9 janv. 2025, 03:14, Brent Meeker <[email protected]> a Ă©crit :
>>
>>>
>>>
>>>
>>> On 1/8/2025 4:11 AM, Quentin Anciaux wrote:
>>>
>>> Brent,
>>>
>>> The core of my argument is that in a single-world framework, the
>>> ensemble of possibilities described by Schrödinger’s equation is only
>>> conceptual. If only one history is realized, then those "possibilities"
>>> don’t exist in any meaningful way—they’re theoretical abstractions. In the
>>> absence of an actual ensemble from which a selection occurs, the notion of
>>> randomness is a metaphor, not a mechanism.
>>>
>>> In the many-worlds framework, every possibility is realized, so the
>>> "selection" is an emergent phenomenon from within the structure of the
>>> totality. In the single-world view, however, there’s no actual ensemble.
>>> Probabilities merely describe the likelihood of the one realized outcome,
>>> but there’s no underlying framework where those possibilities are
>>> instantiated. Randomness then becomes a label for the lack of explanation
>>> rather than a true process.
>>>
>>> To say "the single history simply is" and call that random doesn’t
>>> resolve the issue—it just restates it. Without an ensemble that exists
>>> ontologically (even probabilistically), the idea of selection collapses
>>> because there’s nothing to select from. The photon emission you mentioned
>>> is described by probabilities in QM, but those probabilities don’t
>>> correspond to real, alternate outcomes in a single-world framework. The
>>> realized outcome is the only one that exists, and all other "possibilities"
>>> are simply unrealized ideas.
>>>
>>> In contrast, in the many-worlds interpretation, the photon’s emission in
>>> one state is one thread of the total structure, and alternate emissions
>>> exist along other threads. This gives explanatory power to the
>>> probabilities, as they correspond to real structures within the ensemble.
>>>
>>> But small probabilities explain why things *don't* exist.
>>>
>>>
>>> Regarding your point that probabilities lose meaning in MWI because all
>>> possibilities are realized—that’s not the case. Probabilities in MWI are
>>> understood as the measure of the branching structure relative to the
>>> observer's perspective. They still hold meaning because they reflect the
>>> structure of the multiverse, not a singular outcome.
>>>
>>> What about the one's for which P=0, you could as well say that reflect
>>> the structure of the multiverse.  Will you make an ensemble of them?
>>>
>>>
>>> The single-world view still strikes me as incoherent because it leans on
>>> the language of probability and possibility but denies their actual
>>> realization. Without an ensemble, it’s hard to see what randomness truly
>>> means.
>>>
>>> In every other application of probability theory (and for years I headed
>>> the Reliability Division at Pt. Mugu) the ensemble is only notional.  It is
>>> a the set of possibilities without assuming that they exist, in which case
>>> they would be actualities.  With an ensemble of which every member exists,
>>> randomness becomes incoherent.
>>>
>>> Brent
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>>>
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