Demystifier said:
Now I have further developed this idea, which resulted in a LOCAL hidden-variable model compatible with QM:
http://xxx.lanl.gov/abs/1112.2034
Am I the only one who noticed some similarity between this local and solipsistic hidden-variable model by Demystifier and Leibniz's concept of "monads"? Maybe I'm misinterpreting it but here are some quotes regarding Leibniz's monads:
Thus, in creating monads, God endows them with their own internal laws or program, and it is by virtue of these internal laws alone that their subsequent perceptions evolve in harmony with those of other monads...Strictly speaking, since all of a monads's states are explicable solely by reference to its own nature, there need not even be other monads (solipsism). Leibniz, then, introduces his doctrine of pre-established harmony to guarantee inter-substantial correspondence. Thus,
...pre-established harmony explains why, despite the fact that a substance's behaviour is causally accounted for solely by reference to its own nature, there nevertheless are inter-substantial regularities and correspondences which are not matters of fortuitous chance.
Given Leibniz's requirement that all the states and perceptions of any individual substance are internally predetermined or pre-programmed into that substance (so that a substance's states in no way depend on the nature and states of other created substances), Leibniz is then, driven to invoke the doctrine of pre-established harmony so that one substance's perceptions will evolve in harmony (i.e. 'mirror') with those of another. More generally, this harmony or 'isomorphism' will necessarily hold between the infinite set of all substances (so that each monadic history, in some sense, 'reflects' every other). Thus, as Rescher points out,
...the only interaction between monads arises in the reciprocal 'perception' built into their mutual accord by pre-established harmony. The only thing monads can 'do' in relation to one another is to perceive, and to agree (more or less) in their successive states.
Thus, each substance (monad) is like a 'spiritual automaton' programmed in such a way that its states and perceptions "represent the universe in a very exact way, though with relative degrees of distinctness"; like a kind of private picture gallery representing ('mirroring') from its own unique perspective all the other galleries. While no two substances are allowed to interact with each other (as extrinsic relational properties are not possible), their internal states nonetheless 'mirror' one another so 'harmoniously' (by way of pre-established harmony), that it seems as if they really are interacting (i.e. 'phenomenal' interaction). Since, Leibniz also holds that "ultimate reality" can be completely characterized by the infinite set of monads and their corresponding perceptions and appetitions ('mirroring' each other to infinity), then the whole question of an "independent objective reality" (i.e. what exactly do the monads mirror?), becomes superfluous, since, strictly speaking, there is nothing "outside" of the "mirroring monads" to mirror. Leibniz, however, held,
...that for there to be a perceived objective reality it is sufficient simply that there be agreement and correspondences between subjective states of different substances. It is not necessary that those states causally result from any other than the substance whose states they are.
Finally, since in Leibniz's ontology, these mathematical-like, isomorphic relationships, preclude the possibility for inter-substantial relations, the only kind of relational properties allowed (at least, at the "groundfloor" metaphysic of simple substances), are necessarily, intrinsic; consequently, all relational properties of any individual must be ultimately, reducible to non-relational predicates or properties of that individual.