I am speaking as a layman here, but I suspect that there are "meta-genes" within our DNA which describe aspects of human life that we have no awareness of. Our knowledge of our own form of life, while seemingly vast, is more likely quite sparse. I do concede I am making an assumption that "symmetry savings" have great relevance towards survival. I am much more comfortable with this assumption than other assumptions I'm reading about in this thread.
We certainly do
not know all that much yet, our knowledge is indeed sparse. However, you are proposing things wich we have "no awareness of". Until we have some awareness of them they are wild specultion with no reason for it and nothing further to say about it.
Making an assumption isn't very helpful without some idea of how to test it.
And you might want to specify "other assumptions". Are there some which are as little evidenced as yours?
My last point seems like a restatement of others' previously made points. Provided that symmetry does result in the savings I theorize, it is equally intuitive that life forms who directly choose mates based on fitness indicators would see symmetry increasingly favorably. Such a life form "understands" on an "instinctual" level that symmetry is a boon to fitness and advantageous to enhance within one's offspring.
Symmetry as a boon --You're not the first to suggest this. Have you read "The Red Queen" by Ridley?
Things which are "intuitive" may be right, they are also very often wrong. That is no more than a starting point for the very knowledgable whose intuition might be more to the point than the less knowledgable.
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Common sense isn't