Concepts and Paradoxes

Classical interactions are ensemble averages of many weak quantum interactions.

Nonrelativistic quantum mechanics with a Hamiltonian that causes instantaneous translations; Nonlocal Heisenberg equations of motion for 2 boxes with a permeable common barrier and the 2-slit interferometer

The Aharonov-Bohm Effect with an infinite grating with solenoids between each slit, Modular Momentum; Nonlocal exchange of Modular Momentum and Modular Energy; Scattering with both local and nonlocal interactions.

Commutations Relations for Modular Variables, Connection to Action-Angle Variables; Periodic Potentials with the Aharonov-Bohm Effect; Paradox of a superposed flux shielded by a superconductor.

Nonrelativistic quantum mechanics in absolute time, the Heisenberg representation on a lattice with nonlocal jumps (teleportation), discretizing the position in order to obtain simple Heisenberg equations of motion; Intuition from this strictly nonrelativistic picture will still be useful in the…

The Aharonov-Casher Effect, interactions between charges and fluxes; Dynamical nonlocal exchange of modular momentum.

Fermion phase, geometry, and the metric tensor

The Aharonov-Bergmann-Lebowitz Rule for weak and strong Measurements; The Quantum Pigeonhole Effect; Superoscillations and conservation of energy; Conservation of energy and tunneling between space-like separated points.

Collisions and modular variables; More on superoscillations and conservation of energy; Time-Symmetric Quantum Mechanics and Free Will