Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== User: Please write the boundary‑action derivation Lagrangian on the 2‑D sphere boundary leading to identical antiperiodic con… ===
Please write the boundary‑action derivation (Lagrangian on the 2‑D sphere boundary leading to identical antiperiodic condition. I am just going to explain the 2-D boundary as a geometrical process. I am going to do this so that you know what the math is actually representing. In QAT the atoms are standing waves in time with the absorption and emission of light waves forming the passage of time, our every changing world. We have an electron sphere around the nucleus of each atom. When light waves are absorbed the energy levels can't go past the centre of the sphere. This forms a quantum of action, Planck Constant. We then have a square of probability, charge of the electron squared, relative to the centre of the sphere and the 2-D spherical surface. The electron will have 1/2 spin geometrically formed by the radius being 1/2 the diameter of the sphere. We then have photon energy exchanging into the kinetic energy of matter in the form of electrons. This will be followed by the emission of a new spherical light wave. This is a quantum mechanical and EM process. As an EM process the energy levels of the atom are based on the inverse square law and therefore never drop off to zero. The spherical light wave, the electron sphere and the Photon electron as particles are two parts of the same process. The 2-D can be quantum mechanical with the spherical surface of the electron around the nucleus. It can also be EM with the spherical surface of the light sphere. Charge will be evenly placed upon the spherical surface, when the symmetry is broken the charge moves. It will concentrated upon the corners form interaction. In QM this process is called decoherence. I have placed this description of QAT because I want the maths to represent the geometry of the process.