Our Father. In the Christian tradition, the Father represents the Source, or that which is beyond the Source. It is the ultimate, which I rather like to consider as Brahman or ParaBrahman. In Advaita Vedanta, Brahman is the "all that is" and that which is beyond "that". It is the unfathomable infinite, that which is aware of each point of interest, pure consciousness or what may be beyond that. Our crown chakra is our access, our portal, to the infinite.
Who Art In Heaven. To access the divine, or that which relates more to spirit than matter, yogi's often place their seat of awareness, their consciousness, at the third eye. Placed between the eyes, at the center of the head, placing one's awareness at this point creates a "mindfulness" state of being where one is aware of being within the body. Given that this is where most meditative work occurs, this seat can ripe-fully be called heaven. This is where sits your Higher-Self, your Atman, you spirit free of egoic/karmic biases/attachments. And, there is no difference between Atman and Brahman.
Hallowed Be Thy Name. In certain cultures, the belief that to completely speak nothing but the truth is to have the ability to manifest everything you want. Quite possibly a fable to show the difficulties of honesty/transparency, nonetheless, it adds to the fire that fuels mankind's desire to know the truth. To know the truth of "all that is", the "infinite-one", is the sacred path of all of our traditions, including science. The throat chakra is essentially wisdom. It is our seeking for not only the truth of our Atman, but the truth from all our experiences that lead to beliefs that limit ourSelves. From what we discover, we speak the truth of our wisdom.
Thy Kingdom Come, Thy Will Be Done, On Earth As It Is In Heaven. The Kingdom is in reference to the infinite-one, that which is "all that is". The statement is in obvious reference to bringing forth the domain of the infinite-one into our relative reality. Essentially, it is requesting a blessing into our existence. The "Will" of the infinite-one or Brahman, which is the same as your signature Atman, is attempting to accomplish its goal. However, what the "Will" is, is found in the heart chakra. Following your heart, following your bliss, is following the Will of God. It is the way to bridge Heaven and Earth creating "Heaven on Earth".
Give Us This Day Our Daily Bread. Christians use "bread" to signify something called Manna, food which fell from the Heavens to feed the Israelite's in their time of need. Hence, it is simply requesting the Infinite-One to provide us with nurturing substance to keep us sustained. At the solar plexus rests our inner Sun. Much like the Sun enlightens our environment, our inner sun assists in lighting our ego identities and experiences. Here, we request the energy and strength through "bread" to not only sustain our daily lives, but to choose the "Will" based on love-heart and truth-throat so that we do the "Will" of our Atma, and not that strictly of the lower sacral and root chakra.
And Forgive Us Our Trespasses As We Forgive Those Who Trespass Against Us. The sacral chakra is the home of our creative abilities. From the One came Two. From the One was created Two. The One as "subject" finally created an "object" for it to have "awareness" and have an experience. From the creator, creation is constantly creating, creating new life, creating new experiences, creating beauty, creating relationships. However, sometimes such creators will trespass onto another creator's creation. Trespass being defined as intentionally moving onto another's rights in a non-consensual way. When such occurs, beliefs are created triggering all sorts of bodily chemical emotions that can lead to anger, frustration, hate, etc. Forgiveness is asking for clearing such emotions from our energy field.
And Lead Us Not Into Temptation, But Deliver Us From Evil. It seems that almost all of our problems are based on beliefs of "lack", especially lack of our basic needs (shelter, food, hygiene). As a plant is properly nourished by grounding its roots within the Earth, so does the abundant Universe/Earth/Elements provide for us through our root chakra. Given that we carry the belief of a "limited" Universe, or the belief in "lack", we create all sorts of root chakra issues. It is our seat, our support, and if we're not properly supported and have lack of love, lack of necessities, lack of passion, etc., such can lead to the development of negative emotions that can lead an individual into "temptation" or "evil". Anything to be "temptation" or "evil" would be something that "opposes" the love-heart and truth-throat of the Atman.
Amen. From the infinite, you are born. A point of interest for the infinite to perceive a version of reality. From that perception, the infinite gains wisdom by seeking the truth of itself. Love is the key for such discovery and the path, the Dharma, our duty. From the infinite we are nourished and blessed with the ability to create within our abundant Universe, our Heaven on Earth. So let it be.
Overly educated and continuously exploring and revealing more behind the veil.
"It cannot be too highly emphasized that the mystic swims in the same waters in which the psychotic drowns."
-James Wasserman, The Mystery Traditions