Le jeu. 9 janv. 2025, 07:33, Brent Meeker <meekerbr...@gmail.com> a
écrit :
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 <meekerbr...@gmail.com>
a écrit :
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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