Thinking that only material things can exist...
Who thinks that?
...everything requires 'hard evidence' in the form of measurable parameters...
Not sure what "measurable parameters" means in the context. However, if we don't have consistent, objective evidence for something, how else do we distinguish a real phenomenon from guessing or mistake or misinterpretation or wishful thinking or...?
...science is the only way to understand reality...
Well, it appears to be the best why to understand matters of objective (intersubjective) fact. If you have something as good or better at that, then feel free to share.
...anecdotal experiences cannot be evidence for real phenomena...
Well, of course they
can be. However, anecdotal evidence
alone is not a basis for believing something - if it were, we'd have to believe many mutually contradictory things - which would be very confusing.
...changes in properties of organisms can occur through random variations only...
You'd do yourself a big favour if you actually bothered to study and understand the subjects you address. You seem to have a completely fixed - and largely inaccurate - view of both science in general and of specific scientific theories, hypotheses and speculations. Hence, you seem completely unable to grasp (for example) the actual theory of evolution by natural selection because it is nothing like the idea that is fixed in your mind. You cannot see that dark matter is in a totally different category to singularities which are in a different category to parallel universes, no matter how many times the distinctions are pointed out.