Tunneling and Hyperspace

Quantum mechanical phenomena exhibit spooky action at a distance in that the nature of their states or wavefunctions are connected non-locally. To do a deep dive into the nature of how states are connected across distances, one has to move away from such things as Galilean transformations, Pythagorean connectionism, and traditional single-valued eigenfunction solutions to the Schrödinger equation. Non-local means that the quantum solution to the wave equation, something that is found empirically with wave-particle duality experiments, is entangled. Modifying one quantum state in an entangled wave pair instantaneously changes the measurement of a coupled quantum state. One can theoretically couple an arbitrary n number of quantum states in a system and couple their interaction and collapse with a Hamiltonian. This is the basic foundational principle of the quantum computer. However, there is research into the mechanism of the collapse of the wavefunction and the new comprehension of pseudo-randomness as the Riemann zeta function could be the function to describe the distribution of measured states after choosing their path. Multi-valued wavefunctions might also be responsible for spooky action as their nature is connected to a more Hilbert like space filling curve. Important is quantum tunneling, where the quantum wave state or wavefunction moves through a classically forbidden region. It of course cannot be measured to collapse in this region and as such the traverse must be instantaneous. Violations of causality aside, this effect appears in the STM, hydride shift, methyl shift, and nitrogen inversion. What is occurring is a migration of particles from a Jordan block Yang-Mills solution to another via a rotation which preserves length. Differentiable transforms are not really relevant in the discrete Yang-Mills picture as the quantum revolution is more punctuated by the basis states.

In any case, tunneling and spooky action at a distance are these instantaneous artifacts of a statistically deterministic universe. Coarse grained macroscopic behavior is very deterministic, with fates of celestial mechanics tied into inverse square relations, dark matter relativistic gravito-magnetism (from changes of reference frame), and classical electromagnetism. The quantum effects appear in highly convoluted and complexified scientific experiments, a sort of informational and measurement entropy of interaction for a complex adaptive system that is somehow teasing out subtlety through the increased connectivity of experimental networking. The increased size in terms of connected interacting Yang-Mills states corresponds to an emergent measured phenomenon. To extrapolate more tunneling behavior, General Physics plans to construct the array of stylus tips in an STM experiment where multiple tunneling waves correspond to something like one hundred or one thousand atomic states. The multi-body quantum problem necessitates the hyperspace treatment, which is the introduction of the imaginary Yang-Mills coordinate in the basis of the solution space to the Schrödinger equation. Now the multi-valued abscissa is a function that has internal conversion and interaction within the Yang-Mills matrix basis. The hyperspace is a fractal whose progenitor is a kernel of field axiom logic. The most primitive constituent is physical; it is a merging of dimension to measurement. The SU(1) light or U(1) light becomes modified by interaction and self-energy terms to generate SU(n) with n being infinite. General Physics is working to discover the nature of the Yang-Mills particle states as either infinite and complex or based in prime numbers to reflect a pseudo-random basis, something to explain the nature of collapse of the wavefunction postulate of quantum measurement.