The atmospheric behaviour of air is largely governed by low and high pressure systems. However, the relationship between these systems is not linear, as winds, sea temperatures and solar intensity modulate their dynamics and reduce predictability. Several other factors are known to affect these atmospheric dynamics, such as solar cycles. Recent evidence shows however that the earth’s gravitational field can be quantized in terms of quantum numbers, as recently published in Nature. The implications of this relationship between gravity and quantum numbers give rise to the possible key role of a quantum behaviour of gravity in affecting the formation of high- and low-pressure systems. In this letter, the author suggests a relation between the recently observed quantized nature of gravity, the weight of air and the formation of Low and High pressure areas in the atmosphere. The theory is novel and can aid in the understanding of interplay between the earths core forces, the gravitational behaviour and the atmospheric dynamics. There are however several parts of this theory that need further development, and an initial expression of this putative relationship is introduced.