Jesse

As I pointed out, there are interpretations of QM where particles do have exact position & momentum at a given time, it's just that this requires you to assume things like faster-than-light signalling (Bohm's interpretation) or measurements in the future affecting the particle's state in the past (transactional interpretation).

Peter Soderqvist

Take the Bohr atom as illustration, the more we know about an electron's momentum the less we know about its position, and vise versa! An electron orbiting the atom in a standing wave of probability distribution of Eigenstates, when this electron emits energy of quanta, and thus jumping down to a lower energy level, the electron doesn't exists between these two orbits, or levels, hence we know about two positions, the higher, and the lower energy levels, or orbits, but we doesn't know about its momentum between these levels, because the electron doesn't exist there! Experiments later than Aspects' has been made in order to pin down the electron's momentum and position in a closed box, but the electron begins to bounces like crazy more, and more as the space decreases. That confirms that Heisenberg 's uncertainty principle is intrinsic in the quantum world!

The Elegant Universe by Brian Greene Chap 4: Microscopic Weirdness
If an electron is confined to a space of decreasing size, its motion (momentum) increases wildly due to "quantum claustrophobia"
http://www.mcgoodwin.net/pages/elegantuniverse.html

Quotations by Werner Heisenberg: Since my talks with Bohr often continued till long after midnight and did not produce a satisfactory conclusion, both of us became utterly exhausted and rather tense. Thus, the more precisely the position is determined, the less precisely the momentum is known, and conversely. The "path" comes into existence only when we observe it. I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language.
http://www.aip.org/history/heisenberg/p08c.htm

Quotations by Niels Bohr: Anyone who is not shocked by quantum theory has not understood it. http://www-groups.dcs.st-and.ac.uk/~...BiogIndex.html

Soderqvist1: Thus, the standing wave of probability distribution of Eigen states in the Atom is more correct interpreted as; a wave of possibility which collapses into actuality (one Eigenstate) when it is measured!

rubbercok3000

In answer to the question God is above empirical methods of epistimology.