How did the original EPR paper actually define realism?
http://www.drchinese.com/David/EPR.pdf
This was the primary completeness condition (unequivocated) which is predicated on realism:
(EPR) [PLAIN]http://www.drchinese.com/David/EPR.pdf said:
Whatever[/PLAIN] the meaning assigned to the term complete, the following requirement for a complete theory seems to be a necessary one: every element of physical reality must have a counterpart in physical theory. We shall call this the condition of completeness.
Now this is far more general than the definition actually used, where it was stated:
(EPR) [PLAIN]http://www.drchinese.com/David/EPR.pdf said:
A[/PLAIN] comprehensive definition is, however, unnecessary for our purposes. We shall be satisfied with the following criterion, which we regard as reasonable.
Notice the equivocations? The following definition was even, in the original paper, disavowed as a complete specification of realism. The following definition was purely utilitarian for purposes of the argument:
(EPR) [PLAIN]http://www.drchinese.com/David/EPR.pdf said:
If,[/PLAIN] without in any way disturbing the system, we can predict with certainty (i.e., with probability equal to one) the value of a physical quantity, then there exist an element of physical reality corresponding to this physical quantity.
Note that "there exist an element of physical reality" is not even a condition that the "physical quantity" associated with it must be singular or innate to singular "elements". This was in a sense the basis on which Einstein rejected Neumann's proof. Deterministic (classical) was taken to mean dispersion free, in which the measurables were taken as distinct preexisting properties of individual "beables". Bell showed that the properties of any such "beables" must also depend on the context of the measurement, much like classical momentum is context dependent. How many different times, not counting the abstract, was this definition equivocated? Let's see:
1) A comprehensive definition is, however, unnecessary for our purposes.
2) It seems to us that this criterion, while far from exhausting all possible ways of recognizing a physical reality, at least provides us with one such way, whenever the conditions set down in it occur.
3) Regarded not as necessary, but merely as sufficient, condition of reality, this criterion is in agreement with classical as well as quantum-mechanical ides of reality.
The point here is that not even the original EPR paper supported the notion that an invalidation of the singular utilitarian definition used was itself an invalidation of reality, or that singular properties represented singular elements. It allowed many more methods and contexts with which to define reality, and merely chose this one to show, given the assumptions, that cases existed where conservation law allowed values lacking a real values in QM could be predicted when QM defined them as fundamentally undefined. To predicate a proof on this singular utilitarian definition as proof that all definitions of objective reality are falsified goes well beyond the claims of the EPR paper. It is also this artificial restriction, to this utilitarian definition provided, that is the weakness in the proof itself.
Look at the rabbit analogy again. Given a rabbit and its diet, the physical quantity of a substance with the property [rabbit poo] is predictable. That by definition, under the utilitarian definition used, defines [rabbit poo] as an element of reality, but does that means the rabbit poo
property is also an element of reality. If so, where was the "poo" property before the rabbit eat the clover? If not does mean the "poo" property does not define an element of reality? The only reasonable assumptions are:
1) The [rabbit poo]
property in fact represents an element of reality.
2) The [rabbit poo]
property is not itself a
physical element of reality, but a contextual element of reality representing a real physical state.
3) The rabbit poo itself
is a physical element of reality.
Taken this way, BI violations might only indicate that ALL measurable properties have the same contextual dependence as
every property we are familiar with in the everyday world. It may only be our notion that fundamental properties of "beables" exist that is at fault. Yet a "beable" lacking measurable properties of its own may still gain properties through persistent, or quasi-persistent, interactions with other beables. A Schneider quote I like a lot from
"[URL Determinism Refuted[/URL], illustrating the unobservability of independent variables is fitting here. This entails that what we perceive as the physical world is built from verbs, rather than nouns, but doesn't prove that nouns don't exist to define the verbs. So the claim of a
proof of the nonexistence of beables goes well beyond any reasonable level of generality that can be claimed.
The issue of completeness is twofold. If -every- possible empirical observation and prediction is contained within a mathematical formalism, is it complete? I would say so, even if reality contains physical constructs at some level, not defined in the formalism, that provides for the outcomes predicted by the formalism. Einstein insisted on these physical constructs being specified in order to qualify as complete. Funny he didn't insist on the same with his own theories, presumably on the grounds that they didn't conflict with certain realist notions. Thus I don't consider, as Einstein did, that every element of physical reality must have a counterpart in physical theory to be considered complete. If QM is considered lacking in completeness, gravity is the issue. Yet a model, complete in the Einstein sense, would be a useful construct, and maybe even play a pivotal role in unification.