How would that explain out-of-body/near-death experiences? They happen to people, it's a fact. Sometimes people gain new information during them that they couldn't have possibly hallucinated by themselves, like being able to repeat a conversation that took place in another room while they were clinically dead. Within the framework of the modern science, the experience itself can be explained by the dying brain hallucinating it; the obtaining of new information from physically inaccessible parts of the reality, however, can not.
Then there's also the phenomenon of people suddenly waking up, or having dreams about it, when someone close gets into an accident while they sleep. This can not be explained by modern science at all. It happens too often, to too many people, to be a simple coincidence.
Then there's the phenomenon of heart transplant recipients receiving the memories of, and sometimes the ability to communicate with, their donors. This can be explained by some memories being stored in the heart cells, or in its nervous tissues.
Now, I'm not really into pseudoscience and conspiracy theories, but because of how unexplained and under-researched the subject of nature of consciousness is, I try to keep an open mind. Those field theories in particular sound appealing. They haven't been proven, but they haven't been disproven either.