Problems of molecular transfer in a gaseous atmosphere are investigated under the idea that some water molecules will modify their characteristics to facilitate the transfer process. This modification entails increasing the dimension of vector space, which was previously utilised to represent the transfer process, from three to four. Other situations of increasing the dimension of vector space are examined in detail. The relationship between the affine group and the Markov chain is first considered. In this paper, the action of a Markov chain matrix as an affine matrix is investigated, with the result that a point with a coordinate number of 1 is a fixed point on a straight line. The mathematical framework created for physical comprehension of molecular transfer remains a severe difficulty. However, experimental tests may reveal some qualities provided by mathematical structures. Water molecules having a 4D description, in particular, will not interact with regular water molecules, resulting in a huge molecular mean free path.

**Author(S) Details**

**V. K. Konyukhov
**A.M. Prokhorov General Physics Institute of Russian Academy of Science, Moscow-119991, Russia.

**E. V. Stepanov
**A.M. Prokhorov General Physics Institute of Russian Academy of Science, Moscow-119991, Russia.

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