EVIDENCE, EVIDENCE, EVIDENCE, my friend. Not excuses, deflections, denials, avoidance, misdirection's, and silly word games. Claims that are not based on science are based on personal belief, which requires zero evidence. However, claims that are based on science DO require verifiable objective evidence. You seem to manipulate the truth, by manipulating key words to give the appearance of truth. This, as you have admitted, is not science. This is deception(deliberate or unintentional) disguised as science. There will always be those that want to believe that up is down, and down is up. There will always be those that want to believe that Elvis has just left the building, or that an all-knowing, all-present universal consciousness exist, and is independent of any subjective perspective. But from a scientific perspective, these beliefs only represents a flea biting the back of an elephant. Without evidence, only another flea will bite.
What you seem to not understand, is that in the hearts of most skeptics, atheists, or Gnostics, is a secret desire to believe that there exist something that IS greater than all the parts that make up reality. They would instantly change their minds, if there was any rational support for your claims. Stating that "evidence can't be obtained", or "you can't understand the evidence", or "evidence doesn't exist in the physical world", are all self-serving cop-outs. Creating your own language and logic, or borrowing, manipulating, and misapplying established scientific principles and understandings, only creates an obvious air of doubt, deception, and suspicion. All of these things makes the medicine you're peddling, very hard to swallow.
Science IS truly the Gold standard for acquiring the best possible explanations about any natural phenomena. Basically, the explanations by science works. The explanations can be tested, predicted, repeated, measured, is usually intuitive, and can be observed. Even human behavior with enough data, can be predicted using the scientific method. What other standard do you know that is similar? Or was your statement just another baseless assertion? Any explanation(except scientific), can be used to explain any unnatural phenomenon. Just start with the conclusion, and select half-truths, unrelated ideas, personal beliefs, fallacious arguments, and anything that sounds "sciency" to support it. And, "wallah" you have created your own truth. Anyone can do this, except science.
I certainly don't want to put words into your mouth. So when you say, "that the mystic transcends perceptual reality in order to apprehend Ultimate Reality", exactly what are you referring to as "perceptual reality"? The perceptual reality that I know is the physical reality. Which is bound by physical laws. Therefore, transcending the physical reality, also transcends the physical laws of nature.
Still waiting on the evidence.