article and paper link:

The quantum state cannot be interpreted statistically
Matthew F. Pusey, Jonathan Barrett, Terry Rudolph
(Submitted on 14 Nov 2011)

    Quantum states are the key mathematical objects in quantum theory.
It is therefore surprising that physicists have been unable to agree
on what a quantum state represents. There are at least two opposing
schools of thought, each almost as old as quantum theory itself. One
is that a pure state is a physical property of system, much like
position and momentum in classical mechanics. Another is that even a
pure state has only a statistical significance, akin to a probability
distribution in statistical mechanics. Here we show that, given only
very mild assumptions, the statistical interpretation of the quantum
state is inconsistent with the predictions of quantum theory. This
result holds even in the presence of small amounts of experimental
noise, and is therefore amenable to experimental test using present or
near-future technology. If the predictions of quantum theory are
confirmed, such a test would show that distinct quantum states must
correspond to physically distinct states of reality.

I thought this was interesting enough to post here as it relates to
arithmetic realism vs physics. Anyone have any comments or feel like
explaining the experiment in ultra-layman's terms?

My comments (from

Ah, they are getting closer. “if a quantum wavefunction were purely a
statistical tool, then even quantum states that are unconnected across
space and time would be able to communicate with each other. As that
seems very unlikely to be true, the researchers conclude that the
wavefunction must be physically real after all.”

What they are not considering is that it only seems very unlikely that
quantum states are able to communicate with each other across space
and time because they are assuming that space and time *are not part
of what is being communicated*. It’s frustrating, because if that
little consideration turns out to be true, it would be much more
‘seismic’ even than the paper in question.

Once you realize that the singularity is perpetual (because it occurs
outside of time…because all time and space arise as a consequence of
the Big Bang and the Big Bang is a consequence of the singularity)
then space and time become a logical function within the singularity
rather than a concrete physical primitive.
Matter-‘energy’ (experience) is the concrete primitive. That is what
is all connected. The vacuum of space and sequences of time are
relativistic pantomimes - a stagecraft of entropies and attenuations
evoked through the scalar relation of mass-energy with itself, from
within itself.

Why does space seem real to us? Space is only real to us because we
are living organisms and our body relates to other bodies and objects
in a specific way. It’s all about frames of reference…micro to meso to
macro; holarchies and nested inertias translating each other as
presentation-algebras which recapitulate the ‘differences that make a
difference’ between the local and distal inertial frames (distal in
both perceptual-semantic and relativistic-literal senses).

Why does time seem real-ish to us? Because the organism that we are
has finite limitations on how much ‘now’ it can experience. Those
limitations are what make us what we are in the universe as opposed to
something else or everything else. The reality of time is only the
sequential sense of experiences and participation. There are no cosmic
clock gears pushing things along literally, rather the vast synchrony
of events evolves holographically from within each inertial frame of
reference. Each ‘now’ is just the most local node on an Indra’s Net of
reflected and refracted distal nows, cycles within cycles, as
perceived by whatever subject calls that node, that now, and those
cycles home. Without such a home, without a frame of reference, we
cannot presume that there is nothingness when it is just as likely
that the ground of being can be described just as well as being
‘everythingness’. Both are true in one sense, false in another.

Is the future laid out for us then? Is the largest, all inclusive
‘now’ (the singularity’s now) deterministic? That’s where the
singularity makes use of it’s ‘shadow’. Eastern philosophies such as
Taosim and Vedanta have it right, it is one thing pretending to be
also nothing, and thereby dividing itself into an infinitely finite,
and completely incomplete process of processes. Time and space are
that shadow of the singularity which allows it’s self involution-

So, to the question ‘spooky action at a distance’? My answer, “Who are
you calling ‘distance’, kimosabe?”

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