The second step of scientific method is to propose a hypothesis based on all collective observations and the third step is to verify/falsify the hypothesis with more observations, But In a World where there were no similarities or patterns so far, Wouldn't the scientific method fail on the second step itself?
Let's leave aside the question of whether we could exist in such a world. Perhaps we could observe it from the outside by some means, and try to use the scientific method to analyze it.
There is then an important distinction to be made: is it merely that no patterns have been recognized so far or that there are no patterns to be found?
In neither case is there necessarily a problem with hypothesis formation, but if there are no patterns to be found then it must be the case that every hypothesis that supports meaningful predictions will, probabilistically, be falsified. If there are as-yet undiscovered patterns, however, then it is plausible that some of these will be hypothesized. These will not be falsified by valid experiments, because they characterize bona fide patterns.
I have two questions taking above as context:
- Does that mean all we will be doing is to observe physical happenings in world without any similarities in them and noting it
down for human usage only?
No. We might form an unbounded number of hypotheses, and test them all. See above for more discussion of how that might play out.
- Are similarities an inherent property of nature or just a way of humans to conceptualize different happenings on a common ground?
We seem to be fairly good at making predictions based on past observations. The scale of such predictive ability seems to be increasing. That is consistent with the hypothesis that the Universe really does behave according to a set of physical laws. It does not prove that hypothesis, but that is beyond the power of the scientific method.