On Friday, April 27, 2018 at 11:40:22 AM UTC-5, Bruno Marchal wrote:
>
>
> > On 26 Apr 2018, at 13:42, Bruce Kellett <[email protected]
> <javascript:>> wrote:
> >
> > A news story from the Australian ABC shows that it is not just photons
> or silver atoms that can become entangled. This is interesting stuff......
> >
> >
> >
> http://www.abc.net.au/news/science/2018-04-26/quantum-physics-entanglement-shown-massive-objects-first-time/9687076
>
>
> Wow! Impressive indeed. And that might plausibly play an important role in
> unifying the quantum principles with gravitation.
> Space-time might reduce into entanglement, maybe a sort of Dirac electron
> dovetailing on itself and entangling with itself would do.
> Not only there is only one person, playing hide and seek with itself, but
> there would be only one particle, in the base of the sharable phenomenology
> of matter!
>
> Take this with as much grains of salt you need. That is an impressive
> success. It should help or at least inspire quantum computing on both the
> theoretical and experimental issues.
>
> Would it help to test one-branch-influence at a distance? I doubt it.
>
> Bruno
>
This is similar to what I said on the thread "entanglement." Entanglement
is a global property. Given a set of states with symmetry G, an
entanglement between them is a quotient of some of that symmetry, say H so
that K = G/H. We may think of the group G as
G = K ⋉ H.
K ⋉ H is the semi-join of the relations K and H, the set of all tuples in K
for which there is a tuple in H that are equal.If you have quantum states
that are entangled according to symmetries of common tuples the coset is
then a "modulo those symmetries." In this way an entanglement of two
electrons results in a net scalar field for the singlet state or a vector
state for the triplet state and the fermionic properties of the electrons
have been removed and replaced with this entangled boson state. This in
fact has some bearing on the moduli space for SU(2) gauge field and its
relationship to the Dirac operator as found by Atiyah and Singer.
This is analogous to the standard idea of a base manifold with a principal
bundle. For S = M×P, where the transformations on the bundle P leaves the
configuration of a vector or tensor field on M invariant. If the bundle
structure is SO(3,1) ~ SU(2)×SU(1,1) and S = SO(3,2) then
AdS_4 = SO(3,2)/SO(3,1)
indicates how SO(3,1), the gauge-like symmetry of spacetime, is a principal
bundle over AdS_4. AdS_4 is the anti-de Sitter spacetime in four
dimensions, and we can then see that SO(3,2) is a spacetime with a Lorentz
group fibration.
Spacetime is global, or at least the CFT_{n-1} on the boundary of AdS_n is
equvalent to the global field content of gravitation in the AdS_n. by very
similar means quantum mechanics and entanglements are global. Quantum field
theory though is local. There are causality conditions imposed on quantum
field theory that eliminate the nonlocality of quantum mechanics. With all
the "wonders" of quantum nonlocality it is odd that QFT destroys them, but
the nonlocal physics is on scales much smaller and of shorter time than
most high energy physics experiments and the range of detectors. However,
with black holes there is a lot of Einstein lensing and local Lorentz
transformations that make this simplification in QFT not so workable. We
therefore have the nonlocality of gravity in the AdS_n bulk and the dual
quantum field CFT_{n-1} on the boundary of AdS_n can mix. Nonlocality in
the gravitational bulk can be transferred to the CFT. More physically
relevant is that for a black hole the entanglement phase of a quantum
system can become transferred to the black hole or spacetime physics. In
this way we may think of spacetime as "built up" of quantum entanglements.
As a result the nonlocal properties of quantum entanglement in curved
spacetime can be transformed into local properties, where the entanglement
phase is transferred to spacetime or a holographic screen such as on a
black hole. It is very similar to the local properties of gauge theory with
a principal bundle on a local patch, but where the overlap of these patches
determine gauge connections and fields. With what I am working with this is
how I see the development of gravitation from quantum fields. Since
gravitation is woven with quantum entanglements then for a small number of
degrees of freedom gravitation is "quantum," but for a large number it
assumes more of a classical-like structure.
LC
--
You received this message because you are subscribed to the Google Groups
"Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/d/optout.
