HeXp£Øi± said:
I don't think you quite comprehend what the uncertainty principle is. The uncertainty principle has absolutely nothing to do with the laws of physics.
It mearly states the fact that we as mortal beings have issues observing what happens at sub atomic levels.
That minimalist interpretation of Heisenberg's uncertainty relations is inadequate if the view is taken that there is no emperical value to statements made about reality when removed from physically possible observations.
This has been debated endlessly for decades, but I tend to side with the interpretations of most current day physicists, Bohr, and even Heisenberg himself. They take the stance that declarations about an underlying reality apart from observation are meaningless.
Excerpts from Bohr:
"The unaccustomed features of the situation with which we are confronted in quantum theory necessitate the greatest caution as regard all questions of terminology. Speaking, as it is often done of disturbing a phenomenon by observation, or even of creating physical attributes to objects by measuring processes is liable to be confusing, since all such sentences imply a departure from conventions of basic language which even though it can be practical for the sake of brevity, can never be unambiguous... a sentence like "we cannot know both the momentum and the position of an atomic object" raises at once questions as to the physical reality of two such attributes of the object, which can be answered only by referring to the mutual exclusive conditions for an unambiguous use of space-time concepts, on the one hand, and dynamical conservation laws on the other hand. It would in particular not be out of place in this connection to warn against a misunderstanding likely to arise when one tries to express the content of Heisenberg's well-known indeterminacy relation by such a statement as ‘the position and momentum of a particle cannot simultaneously be measured with arbitrary accuracy’. According to such a formulation it would appear as though we had to do with some arbitrary renunciation of the measurement of either the one or the other of two well-defined attributes of the object, which would not preclude the possibility of a future theory taking both attributes into account on the lines of the classical physics."
The fundamental philosophical question is whether there is a physical deterministic reality apart from our observations. In other words, is it really a limitation of our ability to, even in theory, make measurements of unlimited accuracy, or is it a characteristic of nature itself. The prevailing view in physics, forced upon us by the inability of quantum concepts such as the Schrodinger's wave function to describe an underlying reality but only a 'state of knowledge', is that reality is what we observe... no more, no less.
Now we get into a more subtle issue. You suppose that God is somehow unaffected by this limitation, whether it be ontological or experimental. Why? You formulated your question such that what was inside the box was
all that there was to the universe. As such, God, whatever He may be, is a part of that universe and bound by the same laws of physics as we are. His ability to observe has the same limitations on a fundamental level as our own. There is no magical way to gather information on the position, velocity, momentum, etc. of a particle other than by some physical means. I fail to see how you sidestep this point.
So, you can't have it both ways. Either God is within the box as you stipulate, and is bound to the same laws of physics as we are, or there
is something outside the box afterall... God. If that is the case, then the question moves from hypothetical to logically unanswerable. You seem to be straddling that line, taking ideas from both lines of thought to make your argument.
Now, as I alluded to earlier, even if one were to somehow be granted knowledge of all fundamental properties of every particle/energy/wave/string/whatever that constitutes our physical reality (yes, this is illogical, not hypothetical, but we'll grant it for a moment in any case) it would
still not be enough, according to quantum mechanics, to predict the future in unlimited accuracy.
Why? Because despite your previous comment, probabilistic randomness appears to be a quality of nature on the quantum level. That is to say that some events cannot be predicted from
any set of data, even supposing that the knowledge of that data transcends any established limitations of uncertainty. For example, the precise time of decay of an unstable nuclear particle is independent of any quantum property that describes that particle (such as spin, momentum, position, velocity, charge, mass, etc.). Even if every quantum variable were known (ignoring uncertainty) in unlimited resolution, there is no method of calculating when such a probabilistic event will occur. If reality truly has a random component on the quantum level, as all experiments ever conceived and carried out have confirmed, then I don't see how God could circumvent this regardless of any ability to cheat uncertainty. Other examples of probabilistic events are the fall of an electron from one energy orbital to another, and the determination of just
which photons will pass through a semi-reflective material and which will be reflected, just to name two. There is no limitation of measurement which negates the possibility of accurately predicting such events... there simply no known quantity to measure which would assist you in making such a prediction. Thus, not only would God have to know all that is knowable, but also that which is unknowable (he would have to exist outside the box).
Quantum mechanics also treats classically derministic values such as mass, position, or velocity as probabilistic, but then you're back to a philosophical debate on whether these are only probabilistic in practice or by nature. It should be noted though that these probabilistic attributes are not of the same kind as those mentioned above.
If you really want to complicate the discussion, we could move from the semi-classical reality we have been assuming and into the multiverse, where not only are probabilistic quantum "possibilities" realized as actual physical realities, but time loses any meaning and each universe in the multiverse is but a static "snapshot" of one "moment" of one quantum reality. The collection of snapshot universes encapsulates all possibile events that ever have or ever will occur. There is nothing to "predict" in the multiverse, because "all of time" has existed since the creation of the universe (and yes, the concept of creation becomes extremely complicated when discussing a universe with no time). If this idea is an accurate description of reality (which I think more completely explains observed phonema than other quantum interpretations) then it would be possible for God in a sense to "know all that is knowable" and predict (or simply observe, whichever way you want to view it) all future events... indeed, all possible future events, even if in our reality they never come to fruition. However, in that case God would again have to be "outside" the box in order to view the collective multiverse in its raw form. Otherwise, he is just as limited as we are in our perception of it.
I still can't believe six people voted yes when it is contradictory to the currently accepted worldview of the physics community.