Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

2736. I have been informed that genuine conjugial love is innocence itself, which resides in wisdom. With those who have lived in conjugial love wisdom exists more than with all others in heaven, yet when looked at by others they are seen as little children in the bloom and springtime of life; and whatever happens, it is joy and happiness to them. They are in the inmost heaven, which is called the heaven of innocence. Through that heaven the Lord flows into conjugial love, and angels from it are present with men and women who live in that love. They are present also with little children in the first years of their life.