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" "[I]t is the statistical state that determines which variable is physical time, and not any a priori hypothetical "flow" that drives the system to a preferred statistical state. When we say that a certain variable is “the time”, we are not making a statement concerning the fundamental mechanical structure of reality. Rather, we are making a statement about the statistical distribution we use to describe the... properties of the system... The "thermal time hypothesis" is the idea that what we call "time" is the thermal time of the statistical state in which the world happens to be, when described in terms of the macroscopic parameters we have chosen.
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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[I]n general relativistic observations there is no preferred independent time variable. What we measure are a number of variables, all on equal footing, and their relative evolution. ...[I]t can be equally read it as the evolution of the variable T<sub>1</sub> as a function of the variable T<sub>2</sub>, or viceversa. Which of the two is the independent variable here?