Before revision: A symmetry-guided time redefinition may enhance and simplify analyses of historical series displaying recurrent patterns . Enforcing a simple-scaling symmetry with Hurst exponent 1/2 and the requirement of increments' stationarity , we identify a time-definition protocol in the financial case. The novel time scale, constructed through a systematic application of the Kolmogorov-Smirnov criterion to extensive data of the S P500 index, lays a bridge between the regime of minutes and that of several days in physical time.
After revision: A symmetry-guided time redefinition may enhance and simplify analyses of historical series displaying recurrent patterns . Enforcing a simple-scaling symmetry with Hurst exponent 1/2 and the requirement of increments' stationarity , we identify a P500 index, lays a bridge between the regime of minutes and that of several days in physical time.