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" "I am aware that ...[this] answer ...is only one among many possibilities. Other authors have argued that the notion of time is irreducible... Until our theoretical and experimental investigations tell us otherwise... what is important is to put the alternatives clearly on the table...
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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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.
Intuitively (and imprecisely) speaking, time "flows", we can never "go back in time", we remember the past but not the future, and so on. Where do all these very peculiar features of the time variable come from? ...[T]hese features... emerge at the thermodynamical level. ...[T]hese are all features that emerge when we give an approximate statistical description of a system with a large number of .
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The way evolution is treated in general relativity, is... subtle... Change is not described as evolution of physical variables as a function of a preferred independent observable time variable. Instead, it is described in terms of a functional relation among equal footing variables... as... (T<sub>1</sub>,T<sub>2</sub>)... In general relativity, there isn’t a preferred and observable quantity that plays the role of independent parameter of the evolution... General relativity describes the relative evolution of observable quantities, not the evolution of quantities as functions of a preferred one. ...[w]ith general relativity we have understood that the Newtonian "big clock" ticking away the "true universal time" is not there.