Dear Alan,
There is indeed no indeterminacy in the motion of wave packet. As you mentioned The motion of a wave packet is completely deterministic, with both position and momentum being arbitrarily defined (no uncertainty principle!).A wave packet must be spread over at least about a wavelength, but the center of energy follows a definite trajectory. The standard textbook proof of the Heisenberg Uncertainty Principle is a mathematical identity about waves, and provides for uncertainty only if one assumes the orthodox statistical interpretation.
As you metioned : In the orthodox Copenhagen interpretation, the wave represents a statistical distribution of the locations of a point particle that is associated with the mass. In an alternative "pilot-wave" interpretation (suggested by de Broglie and refined by David Bohm), both particle and wave are real, and the wave guides the trajectory of the particle.
I have mentioned that even in Copenhagen's interpretation,statistical probability is nothing but the measure of observer's ignorance. The Indeterminacy,Uncertainty also stem from the same. Heisenberg Uncertainty principle inequality was derived directly from the mathematical framework itself.Schrodingers differential euqation describing the trajectory of so-called probabilistic wave functions is itself fundamentally deterministic! mathematics is indeed responsible for this quantum mechanics. The fact is the incompatible blind application of mathematical structures in the physical scenarios. There are certain laws of invariance behind mathematical and physical structures both. There should be match between their intrinsic characetristic otherwise it leads to wrong applications and result.Thats the case of orthodox Quantum mechanics.
Thats what my Mathematical Structure Hypothesis sates that mathematical structures and physical world both are creations of Vibrations.
Probability, Randomness, Complexity are the measure of human/observer's ignorance.
As you have written : If quantum mechanics provides the microscopic foundation for matter, where does classical mechanics come from? In the orthodox theory, the microscopic world is comprised of indeterminate, entangled superpositions, associated with quantum coherent states. The macroscopic classical world consists of realistic, deterministic trajectories without superposition or entanglement. The interface between these two domains is rather fuzzy. Classical physics is believed to come about via interaction of a given quantum system with a classical measurement apparatus, causing decoherence, i.e., loss of microscopic coherent degrees of freedom. Exactly how this occurs has never been made clear, and the logic seems rather circular; if everything is ultimately quantum, how is this classical apparatus initiated?
In contrast, in the realistic theory described here, there is no quantum-classical separation.
The big question before dealing with our above classical trajectoties on microscopic level is -what is Matter & how it is linked with observer's(human) Mind. What are micro and macro? They all are fundamentally linked with Russells' paradox geometry where A larger set can exist within smaller set B and vice versa. This is possible in a peculiar geometry where internal and external,micro ¯o are merely the geometrical effects. Mind and Matter are simple question of Vibrations. Mind at very low rate is Matter and Matter at high rate of Vibration is Mind.Please see my essay or the links attached here.
Anyway, what's take on what governs the structure of mathematical equations itself which are used in Quantum mechanics/physics,which causes these fundamental paradoxes issues.Richard Feynman once said that -The next great era of human awakening would come ,today we don't see the content of euqations.
Whats your take on the geometry of consciousness(paradox of self-consciousness) as David Bohm said that without peeping into this we can't understand quantum aspects e.g.bell's locality-at-distance?
Anyway you have written great essay.
Regards,
Pankaj ManiAttachment #1: MindBrain_MatterConsciousness.pdfAttachment #2: Swami_Vivekananda_on_universe_space_time.pdf