Given: 1) Any observer in an inertial reference frame will observe the speed of light at their location to be the invariant speed of the Lorentz transforms. 2) The Swartzchild metric requires a transformation to avoid having an anisotropy in the speed of light, with different values in the radial and circumferential directions. Does this mean that the Swartzchild metric does not define a locally inertial reference frame? Is the anisotropy an artifact of the distortion imposed on the space-time by defining r to be a geometric radius (as defined by the circumference around the singularity at r)? With what ruler is the circumference measured in the Swartzchild metric anyways? It appears to me that the Swartzchild ruler is calibrated to measure like a ruler at infinity in the circumferential direction rather than the local proper length. What, if any, is the physical meaning of r in the isotropic coordinates? Is the factor of four in the horizon radius merely a calibration issue? What is the difference in calibration? How does the difference in surface area in the two representations of the same object effect black hole entropy, which is proportional to the area of the event horizon? My gut says that since we changed coordinates a change in our measure of entropy should not be unexpected, but a change in temperature at infinity would be harder for me to justify. I am not sure these two are incompatible.