This paper proposes a preliminary hypothesis of Quantum Fractal Time (QFT) and explores its possible mathematical structure and implications. The central hypothesis is that the structure of time may possess a local fractal character described by a scalar field α(x) with values in the interval (0,1]. The model introduces a dynamical field representing the local fractal dimension of time and explores its consequences in weak gravitational fields. The theory predicts small Yukawa-type corrections to gravitational time dilation, orbital dynamics, and perihelion precession. These predictions allow QFT to be constrained through comparison with precision tests of General Relativity.
Mark Bondiakov (Fri,) studied this question.