The deterioration process of the wall paintings in Mogao Grottoes in Dunhuang is governed by the mechanism of water-salt activity caused by earth-air activity, which driven by the fluctuations of atmospheric pressure (AP). However, there is obvious hysteresis effect in the process of earth-air rising and falling, which will cause the curve of earth-air activity to be ahead of the AP that triggers its variations, forming a 'paradox' of causal inversion (This paradox only represents an apparent temporal characteristic and does not involve a substantive reversal of causality.). This study uses the cross-correlation analysis method to systematically analyze the 'advanced phenomenon' between earth-air activity and AP variations, and uses the CNN-LSTM-Attention to achieve accurate prediction of earth-air activity on the minute scale. The results show that the response of earth-air flow (EF) in the main chamber of Cave 108 to the variation of AP shows an advanced phase of about 21.833 h, which is significantly longer than that of the drilling well of 12.167 h. The difference in hysteresis time reveals the regulation effect of geological three-dimensional pore structure on AP conduction efficiency, and further confirms that there is a significant spatial hysteresis difference in earth-air activity. The hysteresis of AP conduction in space leads to the prepositioning of the EF curve on the time scale. Notably, the dynamic changes in the concentrations of gases such as CO2 and 222Rn in the cave depend not only on the environmental factors inside the cave but also, more importantly, on the historical changes of these factors. On the minute scale, the earth-air prediction model achieves high-precision predictions of earth-air CO2 concentration (R2 = 0.987), Rn concentration (R2 = 0.904) and EF (R2 = 0.618). At the same time, it also provides a predictive paradigm for the micro-environment of cave heritage.