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.

2173. That 'Sarah' here is the Lord as regards truth is clear from the representation of 'Sarah' as intellectual truth allied to good, and here as rational truth, for the same reason as has just been stated in reference to 'Abraham'; for 'Sarah' represents truth, see what has been stated already in 1468, 1901, 2063, 2065. In the historical sections of the Word good and truth cannot be represented by anything other than a marriage, for they go together as two that are married. Indeed a Divine Marriage exists between celestial and spiritual things, or what amounts to the same, between the things of love and those of faith; or what still amounts to the same, between things of the will and those of the understanding. Those of the will are forms of good, those of the understanding forms of truth. Such a marriage exists in the Lord's kingdom in heaven, and such also exists in the Lord's kingdom on earth, which is the Church. Such a marriage exists in every individual, and in each part of him, indeed in the most individual parts of all. That which does not have its existence within such a marriage has no life. Indeed from this Divine Marriage such a marriage exists in the entire natural order and in each individual part of it - though it does so under a different shape and form - otherwise nothing would ever continue to exist there. Because such a marriage exists in each individual part, everything is described in the Prophets, especially in Isaiah, by a pair of expressions. The one expression has to do with that which is celestial or with good, the other with that which is spiritual or with truth, dealt with in 683, 793, 801. As regards the likeness of a marriage being present in every individual part, see 718, 747, 917, 1432. This explains why 'Abraham' represents the Lord's good, and 'Sarah' His truth.