Is the Quantum State Holographic?

[lucas_]

I'm reading Tim Maudlin latest book "Philosophy of Physics: Quantum Theory". In the following descriptions, it is not akin to holographic?

"In the context of the quantum recipe, the mathematics of the wavefunction suggests that the quantum state (whatever it is) is a
fundamentally global sort of thing. The quantum state of a system is more— in a very concrete sense— than any collection of states that can be ascribed to its individual parts. Pursuing this line of thought in the obvious way, conjoining all the parts of the universe into a single system, suggests that ultimately there is only one fundamental quantum state: the quantum state of the entire universe. This somehow influences the behavior of all the parts of the universe, but (unlike in the old mechanical picture of the universe) the global behavior cannot be accounted for as just the sum of interactions among the individually specifiable parts. Insofar as we can attribute wavefunctions to individual proper subsystems of the universe, we have the right to wonder why and how they inherit their wavefunctions from the universal one."How do you understand the world "holographic" (from holography)? Does it make sense or not to attribute the wave function as holographic, especially as it pertains to the non-local feature.

Holographic means every part is contain in every other part. Is this not the feature of the wave function if you add non-locality?

 

[Lord Jestocost]

I think the best notion regarding these features is quantum non-separability. Franck Laloë in “Do We Really Understand Quantum Mechanics?”(section 3.3.3b Quantum non-separability):

“The idea is that different quantum systems, when they have interacted in the past, no longer have in general their own physical properties; they are both part of a larger system, which is the only one possessing physical properties. One should then not try to separate (conceptually) the whole system into two smaller physical systems and attribute them properties; the whole system is non-separable²¹.

In general, separability is a notion that is conceptually distinct from locality. It is not necessarily related to space: two physical systems could occupy the same region of space and remain distinct with their own physical properties (separable is not the same thing as separate). ....

Quantum non-separability is rooted in the way the quantum formalism describes systems and sub-systems, and clearly related to the notion of entanglement (§6.1): a perfect description of the whole does not contain a perfect description of the parts. We mentioned earlier that Schrödinger considered entanglement as one of the most fundamental properties of quantum mechanics. Entanglement drastically restricts the number of physical properties that can be attributed to the sub-systems; this number may even vanish in some cases. In other words, the ‘best possible description’ (with a state vector) is not available to the sub-systems; they have an additional level of indeterminacy, which never occurs in classical mechanics.”

 

[Demystifier]

Holographic means every part is contain in every other part.

No, holographic doesn't mean that.

Is this not the feature of the wave function if you add non-locality?

No it isn't.

 

[lucas_]

No, holographic doesn't mean that.

What does holographic mean then in a brief sentence or two.

No it isn't.

I was supposed to change the subject to "Is the Quantum State Holographic"? But couldn't edit it anymore.

The context is Bohm Implicate Order. As a Bohmian, I'm sure you are familiar with it. Is Bohm Implicate Order holographic?

 

[Demystifier]

What does holographic mean then in a brief sentence or two.

Information about the volume is encoded on a surface.

The context is Bohm Implicate Order. As a Bohmian, I'm sure you are familiar with it. Is Bohm Implicate Order holographic?

Bohmian mechanics is one thing, Bohmian implicate order is another. I am a Bohmian only in the former sense.

 

[berkeman]

I was supposed to change the subject to "Is the Quantum State Holographic"? But couldn't edit it anymore.

I fixed it for you.

 

[lucas_]

There was a physicist who actually used the principle of holography and quantum mechanics. He is none other than the infamous Bohm.

Is his Implicate Order the same as the quantum state?

I read about Bohm Implicate Order which is akin to the 2D photographic plate (see below). Perhaps the quantum state is separate concept and his implicate order is the ontology? Or are they the same?

https://en.wikipedia.org/wiki/Implicate_and_explicate_order"Holograms and implicate order

In a holographic reconstruction, each region of a photographic plate contains the whole image
Bohm employed the hologram as a means of characterising implicate order, noting that each region of a photographic plate in which a hologram is observable contains within it the whole three-dimensional image, which can be viewed from a range of perspectives. That is, each region contains a whole and undivided image. In Bohm's words:
"There is the germ of a new notion of order here. This order is not to be understood solely in terms of a regular arrangement of objects (e.g., in rows) or as a regular arrangement of events (e.g. in a series). Rather, a total order is contained, in some implicit sense, in each region of space and time. Now, the word 'implicit' is based on the verb 'to implicate'. This means 'to fold inward' ... so we may be led to explore the notion that in some sense each region contains a total structure 'enfolded' within it".

Bohm noted that although the hologram conveys undivided wholeness, it is nevertheless static.

In this view of order, laws represent invariant relationships between explicate entities and structures, and thus Bohm maintained that in physics, the explicate order generally reveals itself within well-constructed experimental contexts as, for example, in the sensibly observable results of instruments. With respect to implicate order, however, Bohm asked us to consider the possibility instead "that physical law should refer primarily to an order of undivided wholeness of the content of description similar to that indicated by the hologram rather than to an order of analysis of such content into separate parts ..."

 

[PeterDonis]

Is his Implicate Order the same as the quantum state?

No. It's a separate, speculative concept. AFAIK it has not been developed into any kind of actual theory that makes any predictions different from those of standard QM.