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" "I argue that the best strategy for understanding quantum gravity is to build a picture of the physical world where the notion of time plays no role at all.
Carlo Rovelli (born May 3, 1956) is an Italian physicist and cosmologist working in the field of quantum gravity. In 1988, Carlo Rovelli, Lee Smolin and Abhay Ashtekar introduced a theory of quantum gravity denoted loop quantum gravity.
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GPS... gets messages from satellites. On those satellites are clocks... The satellites broadcast the times and your little device use the time to tringulate wherever you are... [W]hen this was built the physicists told the [engineers] that were putting up the system, "Careful, up there... your clocks are going to run faster..." ...The entire project was controlled by the American army ...supervised by the generals ...[who] didn't believe it. So the first satellites were put up there with a switch... and of course it does not work if you do not take this into account. ...You would crash the car against the wall, driving with the navigator if we didn't [take] this into account ...
What is then the physical content of a solution of Einstein's equations..? ...[C]onsider what is actually measured in general relativistic experiments. ...Consider a clock at rest on ...Earth and a clock on a satellite in orbit around the Earth. ...Call T<sub>1</sub> and T<sub>2</sub> the readings... Each measures the along its own worldline, in the Earth gravitational field. ...the theory predicts the value of T<sub>2</sub> that will be associated to each value of T<sub>1</sub>. Or vice versa.