A statistical analysis of measurements of the speed of light that have occurred over time. Pre-analysis: an analysis of the scientific validity of each method.
Would a one way ANOVA, for example, show that given the measured sample standard deviations, the means of the different historical measurements of the speed of light are actually different over a given range of statistical significances? Is the speed of light, in the past, and maybe even now, actually slowing down?
Problem: the early measurements may have too large a sample standard deviation and there may never have been enough measurements. People are so loosey-goosey and lazy. They never make enough measurements to reduce the standard error of the mean to negligible values.
Would a more sensitive analysis, statistical or otherwise, be able to detect any direction to the observed changes in the measured speeds of light over recent history?
I have hypothesized that the structure of space is not completely homogeneous, sector to sector in any universe, and that the structure of space evolves somewhat independently in each sector of space; the structure of space has evolved, is evolving, and will continue to evolve. In addition, I derive matter and radiation from evolving space, my so-called matrix or womb of the physical universe.
I have further hypothesized that c, the speed of light, is a function of the structure of an evolving space through which light is moving. So is G, the gravitational constant, which is also changing as space evolves. Physicists have measured the tiny change in G to be about 30 parts per trillion per year, if I remember correctly. Physicists still believe firmly in the constancy of the speed of light. Why? The same evolving space changes both G and c and every other physical quantity dependent on the structure of space. Both are functions of time and the nature of the changes to the structure of space, as space evolves.
Light is therefore a function of at least three other variables, u, s, and t – where u is the universe in which the light is traveling, s is the sector of the universe in which the speed of light is measured (operationally defined, a new sector is the first place in the universe where light can be measured to have a velocity different from another sector), and t is of course, time. Because c = c (t), the Hubble time is not exactly the age of our universe. It may be a good estimate, but it is not exact.