A derived variable physical photon velocity explains the apparent accelerated universe without invoking dark energy

We have derived a group of new coordinate systems which covariantly transform from an open RW system constrained by the requirement that their spatial points move at a negative radial velocity when measured with the RW coordinates and whose clocks are attached to the transformed spatial coordinates. At their origin they all have the same time-variable photon velocity v(t), as determined by clocks and rulers which are physical when v(t) equals c(t), the physical photon velocity. A variable c(t) no longer keeps the Lorentz transform invariant. Instead, locally we have a generalized Lorentz transform and generalized Minkowski metric. By introducing a generalized time for which the differential is c(t)dt, we create a Minkowski metric in order to use Einstein's field equations to calculate c(t). Measurements of the fine structure in clouds of cosmic matter experimentally demonstrate that some physical "constant" do change with cosmic time. We use dependences on c(t) of various physical "constant" which keep a normalized quantum Lagrangian invariant. These explain the apparent acceleration of galaxies found with supernovae Ia on high red-shift galaxies by assuming c(t) equals v(t) in a flat universe with no adjustable constants and no dark (vacuum) energy