Both Classical and Quantum Obitals may be a Subgroup of the Mobius and Higher dimensional Mobius like Orbitals

When one Twin heads to say "Alpha Centauri" near the speed of light, and the other twin remains on Earth, the traveling Twin returns to the Earth younger than the Twin that remained. This situation can be remedied if the stationary Twin travels to Alpha Centauri at the same velocity using the same orbital and returns. Kepler discovered three types of Obitals, the Parabolic, the Elliptical and the Hyperbolic. If one takes the Earth and Alpha Centauri as a single system and the Twins as both using an Elliptical orbit about some point in the center, then one can clearly see that the entire orbital to restore the system to its original situation as having 720 degrees. It is a mobius. Minkowski surmised the Relativity is in Hyperbolic Space, due to its velocity, but it can be surmised that the three types of Orbitals are Subgroups of the Mobius, and that there may be higher dimensional orbitals that make this type of Mobius a subgroup. This author would like to point out that most of the energy of Quark systems is in the orbitals and would like to conjecture that what an observer actually measures in Particle Physics are these orbitals. So the "Group" structure seen in particle physics comes from the type of orbitals the particles can make. Of course wilder conclusions can be made regarding the nature of time and it's relation to orbitals. This author will save the wilder conclusions until later, as this situation has not been proven, but would like to delve into the many types of orbitals seen in Classical Physics, Atomic Physics and the Physics of fundamental particles.