In Alcoholics Anonymous (the Big Book, 1st Edition, p. 25), the phrase is:

“We had found much of heaven and we had been rocketed into a fourth dimension of existence of which we had not even dreamed.”

Many who go through the AA program interpret that “fourth dimension” differently. For some, like you, it resonates as God-consciousness — a radical shift in awareness where life is experienced through a spiritual lens rather than merely psychological or physical. This language emerged in the late 1930s, when mysticism, early spiritual psychology, and Christian language often blended. Bill W. himself drew from a wide range of spiritual and mystical influences (including William James’ The Varieties of Religious Experience), so that “fourth dimension” language wasn’t meant as a scientific claim — it pointed toward an inner spiritual breakthrough.