I'm not looking for proof that an intelligence is connecting to you, more just evidence, because I don't see why you'd believe there was an intelligence involved without evidence. There could be some invisible forces at work that we don't know about that are completely natural. The universe is just systems interacting with other systems, and combinations of systems combine to create bigger systems, literally everything big small microscopic is a system which is cool but there's some invisible systems like wind and radio frequencies and I suspect there may be other invisible things going on that we just can't or haven't detected yet. Whether there's intelligence behind it I don't know.
Your experience is interesting though. It sounds a bit like flow state that you're experiencing which is when your subconscious is fully in the moment, basically like if all the bits of computer memory are allocated to only one program running on your computer instead of multitasking, when your mind does this you're then so in the moment that it feels like something else is carrying you along, but it's your subconscious. The subconscious is amazing to me because it's like another mind inside of you that can run programs for you even if you're not consciously aware or consciously doing it.
Your feelings of love and the white field are strange though for sure. Same with the strangeness of students bringing it up to you, especially if you never told them what you were feeling before. I know it's possible to see "halos" around lights and that's a defect of the eye but not sure if that's the same thing.
Not sure what to think of it, but I had my mind blown today with the "Green needle brainstorm thing" (not sure if you heard about this yet but I made a post on it
http://forums.sherdog.com/threads/brainstorm-vs-green-needle-its-only-business.3849447/). After seeing how our own minds can change our perception of that sound so distinctly, that really shows me that life truly is just our perception and I don't know what to believe is real or not.