One of the long-standing challenges in the Cu-based superconductors is understanding the nontrivial interplay between the high-temperature superconductivity, density waves and pseudogap. While all these states are of electronic nature, our preliminary x-ray photon correlation spectroscopy (XPCS) measurements on La2-xSrxCuO4 (x = 0.125) indicate the key role of local strain fluctuations. The proposed XPCS experiment aims to test and establish this scenario by systematically investigating these fluctuations as a function of hole concentrations (x) and temperature.