> On 28 Apr 2018, at 23:23, Lawrence Crowell <[email protected]> 
> wrote:
> 
> 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
> >  
> > <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.

It assumes? Or does it entail the appearance of the classical-like structure?  
What you say is very interesting, but I have not yet much understanding of 
QM+gravity. My own non expert and non rigorous (old) attempt leads to … to much 
white holes: there should be almost everywhere, but … I will need to revise a 
bit of differential geometry (where I am not so much at ease).

I appreciate your idea here, and it might indeed bring some light on the 
“non-locality” issue, and perhaps even on how dreams glue together in 
arithmetic to lead to local, statistically stable spacetime-physical realities 
(and that would plausibly entail some relation with the Vertex Algebra, 
Moonshine, the exceptional group, and deep relation between Number theory and 
physics. Of course, I do not want to lose the connection with G*, so as to 
treat both qualia and quanta, and avoid person elimination, but that makes this 
approach much more harder, … We will get opportunity to dig more on this.

Bruno





> 
> LC
> 
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