4D Spatially-Extended Photon and Electron Quantum Mechanical Observables For All Wavelengths and Energy Levels
4D Einstein-Maxwell energy density analysis initiates with the fact the quantum composed in the total field formal frame of the electromagnetic stress tensor Tšš of the Einstein equations, requires the negative outward pressure -Pa of quantum energy, e.g., as calculated by Baez and Tatom in "What's the energy density of the vacuum?", to have some nonstandard basis for the missing 4D quantum volumetric wavelength š parameterization -- beyond the zero-dimensional (0D) Dirac delta functional š¹ imaginary-invisible mathematical point particle QED-Standard Model representations of the quantum mechanical observables. Accordingly, the present nonstandard 4D photon string-like cylindrical coordinate transverse lemniscate expansion of the Poynting energy flux vector over one wavelength renders for all š the photon energy and angular momentum ā observables. Likewise, a 4D electron spherical coordinate expansion parameterized by the Bohr radii renders for all energy levels n the electron rest mass and angular momentum ā/2 observables.
