The dimension they're in is known as the spirit realm. Man is body, soul and spirit. We actually dwell in all three dimensions simultaneously. However we typically donot discern them as three, but instead as one.
The spaceship abductions you hear of from time to time are actually someone being aware of their spirit being abducted by spirit beings. The problem is, the spirit realm is very real and the abductee doesn't realize that it is all happening in the spirit and not the natural realm. UFO's are typically a spiritual phenomena.
The ruling principalities that Paul spoke of in the Bible actually look like a type of floating or hovering body at about the cloud level. People have seen these things thoughtout the ages. Paul was aware that these were the spirit beings that took the authority from Adam and have been ruling over mankind for thousands of years.
The flesh or carnal level is the lowest..
Then the soul or intelect or heart realm..
Then the spirit realm.
Now that is not to say that these are completely sanctioned beings, because they are not! God created original man "Adam" superior to all these beings. Adam was a "Son of God". Whenever the Bible refers to a "Son of God" it is referring to the "Spirit Man". When the Bible refers to a "son of man" it is referring to the "flesh, carnal or beast" nature of man. When Adam fell, he did not fall off a turnip truck or off the side of a mountain, but rather he fell into his "carnal or lower nature" leaving his God given and God appointed rulership in the Spirit realm. Then these beings effectively took his place.
Now Jesus, being the "Second Adam", walked in authority in the "Spirit Man" or "Son of God" mode, not just in his natural man. He is our example of what God had originally intended man to be and how he designed man to rule over this planet. That is why there is such a desire or seeking by man, for supernatural things. Unfortunately because we the church have been afraid of the supernatural presence of God and effectivly subsituted "doctrine" for the "presence" and releationship of God, men have turned to other supernatural phenomia. We are to blame everytime someone is turned away from the church and goes into a cult because there is no power in our church. Men were not created to have relationship with "doctirne" and rules, but rather the tangible presence of the Lord.
The Scriptures say that the whole
creation groans and waits for the manifestation of the "Sons of God". That is to say
Paul labored till Christ be formed in us. Paul said praying in the Holy Ghost builds up
our "Spirit Man" and edifies us. As our spirit man becomes stronger we will start to
confront the ruling spirits over our life, then our household, then our business, then our
cities and then our nation until we rule and rein with Christ Jesus. At least that is what
the scriptures or doctrine says. "For those that have an ear to hear what the Spirit is
saying"
They influence man through thoughts and emotions and perceptions...
Only knowledge of the truth will set you free. This is why it is so important to be in the
Word of God, that we might see these things from a "faith filled" Creator's perspective.
There is power in the Blood of Jesus.