Yep, there is quite a problem with that. I've recently was looking for proof that Golden Ratio aesthetical qualities are indeed the global optima for at least some categories of objects. I've found nothing.
Re:Choosing the perfect typeface
by huhtenberg on Sunday October 27, 2013 @07:31AM
(#6621614)
There's at least one published study with a very large sampling base. I know because I was as skeptical as you are, then I saw the study mentioned in some design book, looked it up and it did in fact exist. I'll try and find the name, but I'm not sure if I still got the book where it was mentioned.
The Golden Radio is numerological nonsense. There is no evidence supporting some inherit beauty of the Golden Ratio.
It would be interesting if someone set up a test similar to Harvard's Implicit Association Test to see if this is true.
https://implicit.harvard.edu/implicit/user/agg/blindspot/tab...
My point here isn't (ahem) "You are wrong.", but more that I think you need to get some perspective about the distinction between strongly held opinion and objective fact.