When walking the highwire of quantized worldline two contrasting analogies can be given. For a classical analogue, climbing the energy ladder requires minimum leg spans that are equivalent to the kinetic energy differences between two consecutive rungs. If the leg span is less than this minimum then the object is trapped forever at the bottom of the potential well.
For a quantum analogue, the energy potential barrier becomes the closed surface of a sphere. The quantum steps become the radii of concentric spheres corresponding to Bohr’s orbits of quantized angular momentum. These spheres are dotted with zero-point energy holes allowing the effect of quantum tunneling. However, in complex atoms beyond hydrogen, the concentric spheres tend to overlap shutting off some of these energy holes. Extending these to the classical limit of infinite degenerate energy spheres, it is possible that all these holes would be completely shut and isolating the object into a unique elementary particle. On the other hand, these holes could become aligned then it is equivalent to aligning their respective time axis. Consequently, the Fourier sum of all the zero-point energies formed a wave packet as a superposition of infinite number of waves of different frequencies.


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