Well, IMHO, it is very hard to visualize all of these other dimensions when one continues to use time as a reference, but, if one uses frequency instead, it makes it much easier to see them..
It is often stated in the NT that it is eternal life or everlasting life if one believes in Jesus. Both eternal and everlasting mean beyond time. Frequencies are bound with time that is why they are measured i.e. in Hertz. 1 Hertz = 1 cycle per second, so 1GHZ (Gigahertz) is 1billion cycles per second. So therefore Frequency cannot be another dimension due to the fact time is part of the equation. This also means the next dimension is beyond time itself.
Even Jesus points this out, He is the Truth, The Light and the Way.
Truth is defined as - reality;actual existence.
Light is defined as - less of the usual quantity or density.
Way is defined as - a means of passing from one place to another.
Dimensions 1-3 as we know it now fit into the truth category, for they are reality, they have been measured to a reliable degree.
1st, 2nd and 3rd Dimension = 3d= Height, width, length
4th dimension = time
There fore the 5th dimension is about Gravity itself. The moon is moving away from the earth, at some point the moon will be far enough away to affect the gravity here on earth. We will have less Gravity allowing man to float per say. What affects the tides, is the moons gravity, its the pull of the moon which also affects our tilt axis, so at some point in the future the tilt of the earth will become less and less, which will cause climate changes. Gravity is also not bound with time, and is beyond time because gravity comes in three catagories, Visual bodies like that of suns and planets is considered positive gravity, empty space is zero gravity so it's neutral, and black holes are the result of negative gravity.
Next we have the 6th dimension, a means of passing from one place to another, Where Gravity,Time and a 3d image are warped in order for fast passage. So the way could be a stargate or wormhole type of travel.
Now one could take the spiritual approach to what I just wrote as well. But knowing Jesus lived in turbelent times, had many enemies Jewish and Roman, one would have to pass the message in code, much like the British to the French Undeground in World War II. To me that is what I have seen in the NT, that it is really a code book disguised as a spiritual book, if one knows what keys to look for.