I am a psychic...
Ok
Telepathy like having a conversation it is very hard and my work for tiny things.
The way it works is by interpretation. Lets say you see an apple, if is the fruit or the computer you feel different, the sensation when you see or think about the object is unique.
Now, what you transmit is the feeling to the other person and the other person receives a feeling, then that person has to realize what that feeling means.
There are people very sensitive and other that transmit a lot. For example I use to feel a lot of thing and I have to clean my self energy wise. It is like the part in the movie the Matrix when they give the cake to the girl with an special code that made her horny. Well, feelings are like that, vibes that flows.
For example, I met this girl, the relationship was very intense, after a few months I saw her in the street and I touched her and 2 hours later I realized a bunch of lies she told em before, because I managed to understand the energy I got from her. Just like in the movie Artificial Intelligence when the aliens pass their visions one to another when touching each other.
So telepathy works that way.
Now, to achieve more understanding of those messages you have to work with your ego, release the ego, to minimize it.
On the other hand remember you have quantum mechanics, the movement of particles in sub atomic levels. At that level the Newton laws does not applies and the particles works more like waves and they collide with invisible things. And what else works like waves? our brain.
So... if sub atomic particles collides with invisible objects that make us think there is another dimension, if the human mind works in quantum mechanics that means we are affected bu elements from another dimension, what can be called spiritual world. Of course all this is theory but traces of things exists.
That is my brief explanation on what telepathy could be.