The most conservative theory of radiation is the "linear no-threshold" (LNT) model. According to this model, there is no safe threshold for exposure to ionizing radiation, and any amount of radiation, no matter how small, has the potential to cause harm. The LNT model assumes a linear relationship between radiation dose and the risk of adverse health effects, extending this linear relationship down to zero dose.
In other words, the LNT model suggests that the risk of radiation-induced health effects, such as cancer, increases linearly with increasing radiation dose, and there is no level of radiation exposure considered completely without risk.