The fundamental significance of time in quantum relativity

The measurement of the Earth-Moon distance by the Lunar Laser Ranging (LLR) experiment is today 8 the best test to verify the equivalence principle and the gravitation constancy 1 . By its result, that the 9 average distance increases 3.8 cm per year, the test indicates that the fractional decrease of the 10 gravitation constant G of Newton is equal to ~10 -13 part per year. The universe age ~10 13 years 11 calculated from this decrease is about thousand times older than the universe age ~10 10 years 12 calculated from the expansion constant of Hubble 2 . The time discordance between both universe 13 ages is the reason of the present study of the time effect on the gravitation constant. 14