Consider mortality for a moment. In its definition death is the opposite of life. A dead thing is unchanging, but we are always changing. When we stop changing we stop being, but consider people who have visions and out of body experiences and what that means. Is there an external form for the mind, something without attachment? These visions could represent a mind apart from the body, but we also can observe other explanations for those visions and experiences. What does that mean? In fact we can cause visions by applying electrical and chemical stimuli, fooling people into seeing things that they shouldn't. Sleep deprivation or extreme tension can cause them, too. We can give them false memories and give them evil behavioral problems with hypnosis! We don't have fine control over this, but we can do it. So if the mind is like a radio, sending and receiving messages to a disconnected part of our mind then we have by manipulating the body, affected the remote mind, too. We have marred the spirit by marring the flesh. Therefore whatever the remote mind is, it can be manipulated by us using the subject's body. Visions are not consistent, dreams are chaotic and the remotest parts of our minds can be harmed or improved by the nearest and most physical parts. So a remote part of thought might explain some psychic phenomena, but it is not really remote. It doesn't have that 'Non physical' aspect we're looking for and is connected somehow to the body.
Conjecture: perhaps to achieve a non-physical mind we would have to stop being alive and become more like a picture.