GM=tc$^3$ Cosmology and the Moon

Relativity suggests an expanding cosmology of scale R = ct, where t is age of the Universe. Gravitation would then require that c be further related to t by: GM = tc$^3$. Where G and M are mass and gravitational constant, this simple expression predicts data from the microwave background, including 4.507034\% baryonic matter and a stable density $ \Omega = 1 $. The non-linear increase in Type 1a supernova redshifts may be precisely predicted without repulsive energies. (Riofrio, 2004) Prediction of a changing c may be tested with modern lanterns and the distant hilltop of the Moon. Our Lunar Laser Ranging Experiment has measured the Moon's semimajor axis increasing at 3.82 $\pm$ .07 cm/yr, anomalously high. The Mansfield sediment (Bills, Ray 2000) measures lunar recession at 2.9 $\pm$ 0.6 cm/yr. More recent work accurately measures a recession rate of 2.88 $\pm$ 0.05 cm/yr. LLRE differs from independent experiments by $10 \sigma$. If the speed of laser light were decaying, the Moon's apparent distance is predicted to increase by 0.935 cm/yr. An anomaly in the Moon's orbit is precisely accounted for. This interesting result may have importance for cosmology, shedding light on puzzles of ``dark energy.'' In Planck units, this may be summarised as: M = R = t.