My guess that p-value stands for Popper's falsification gets confirmed

I started to find posts that relate two. I have realized that Ho = all swans are white has a bell curve of delta-pulse at the white ordinal and zero elsewhere. This means that confidence interval is also located on this axis and all swans that we find should be white. As soon as first black is discovered, we fall off the confidence interval and reject the hypothesis.

If we can grade the swan to shades of gray between black and white, we can draw a bell curve and ... wait .. which bell curve? How do we get theoretical curve?