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.

2132. The implications of the description in the Word of someone entering who was not wearing a wedding garment, Matthew 22:11-13, and of his being cast out, have also been shown to me. There are people who during their lifetime have acquired the ability to impersonate angels of light, and when they resume that hypocritical condition in the next life they are also able to worm their way into neighbouring heavenly communities. But they do not remain in them for long, for the instant they perceive the sphere of mutual love there they are seized with fear and terror and cast themselves out headlong - though in the world of spirits at the time it seems as though they have been cast down - some towards the stagnant pond, some towards Gehenna, and some into some other hell.