The forbidden sciences are Ufology, Psychical Research, Utopian Analysis, Toynbeean History and Empirical Metaphysics. Each has at least some work that rigorously follows scientific method, yet is steadfastly ignored by most universities, publishers, and major media.
Scientific method is pure logic and makes no assumptions about reality. The main idea was stated very well by Sherlock Holmes: "How many times have I told you that whenever the alternatives have been ruled out, whatever remains, no matter how improbable must be the truth." The other major requirement is reproducibility. This is often misunderstood. We cannot create a quasar in the lab, nor can we reveal a naked quark. We cannot predict a supernovae. However, among the myriads of galaxies, we can find type 1A supernovae among a few galaxies on any given night.
The scientific part of Ufology is not mysterious lights in the night time sky. It is landed UFOs with occupants on the ground and various kinds of encounters with citizens. See The Great Journey and Is Interstellar Travel Possible?. Here we can rule out secret military aircraft, the UFO psychosis, swamp gas, Venus, apparitions, and the various other alternatives proposed.
The best but not the only scientific work in psychical research has been done by Professor Ian Stevenson, who has provided scientific proof of the reality of reincarnation. See Mind and Soul. This also provides the foundations of the empirical science of metaphysics. Now that we know that reincarnation is real, we also know that the Self is not the brain, but what it is exactly is not certain. Mind as dark matter? Is it Spirit, a combination of mind and soul? Is it the Energy-body seen by HSP?
Toynbeean history is the search for patterns of challenge-and/or-response in history that are reproducible, i.e., repeatable, though not predictable. All other history is mere chronicle, or it is the fruitless search for explanations of events in history. Challenge-and/or-response patterns are not patterns of cause and effect. One cannot use them to explain or predict events in history. Along with the concept of animacy, from psychical research, challenge-and-response gives some empirical content to the empty philosophical concept of free will.
~~~Cebrakon