There is no evidence supporting the notion that acquired knowledge can be transmitted genetically.
Some Posters have mentioned the migratory behavior of birds as a counter example to the above claim.
Birds were contemporaries of dinosaurs & have been in existence for circa 150 million years. That is more than enough time for the evolution of their migratory behavior, which is a useful & not complex behavior.
Some Posters have mentioned various savants as evidence of the inheritance of acquired knowledge.
Mozart’s musical ability & the mathematical abilities of some so called idiot savants are sometimes mentioned in this context.
Mozart’s family were musicians.
When Mozart he was circa 3 years old, he was an observer of his sister’s music lessons & experimented with her keyboard instrument (I do not think it was a modern piano). He noticed that certain combinations sounded pleasing while others did not.
It does not take much musical ability to notice that CEG is more pleasing than EFG.
By age 5, Mozart composed some original music. While he surely had an unusual aptitude for music, his early experiences observing his sister’s lessons & his experimentation with a keyboard supports the notion that he learned rather than inheriting musical abilities.
The mathematical savants I remember reading about went through a learning phase rather than showing the abilities suddenly as would be expected of genetic inheritance.
BTW: Infants do show evidence of inherited knowledge of dangerous situations. The most well known has been shown by experiments on a checker board arrangement of transparent & opaque squares. Infants avoid the transparent squares indicating an inherited fear of falling from a potentially dangerous height.
The above seems to be a worthwhile fear with evolutionary survival value.
I wonder about investigations of identical twins raised by different families. I have read about such individuals showing a lot of similar characteristics which would be expected to be inherited.
I have never read about the inheritance of some special ability which was learned by a birth parent.
An unusual aptitude for mathematics seems inheritable. The knowledge of how to do cube roots via successive approximations does not seem inheritable.