Dear Vladimir,
What a great essay! When I read the sentence "Clever mathematics allows defining the same phenomena in different ways: in geometry a circle is realistically defined by its center and radius, but a relatively complicated algebraic definition is also possible - the latter however gives no idea of its shape." I said, there's a man after my own heart, an art-science creator unbound by a single category. It's hard not to think of the successful math that proved for eighteen-hundred years the Sun circled the Earth.
An artist friend, Harry Holtzman, long gone, used to say that, "Hardening of the categories leads to art disease." Isn't something like this true also of science? I remember a Robert Oppenheimer interview in which he emphasized the need to create or maintain bridges between disciplines, the most likely fertile ground for making new discoveries.
My argument is against the bullying long ago by the Copenhagen powers that excluded forever students with strong visual sensibilities and talent from participating in the world of quantum physics. Since 1930 people have been scared to death even to hint that the atom might possibly be a real and logical device. Sorry, Vladimir, but I've set off my personal tick, that hidden spring that gets me started the moment I think atom.
I admire greatly your image of science as a dwelling with many separate rooms disconnected from one another. Looking at your brilliant illustrations it occurred to me that one day when you've mulled over the architectural possibilities you might find yourself sketching an improved architecture, a co-op to house the different disciplines but with connecting rooms.
With great admiration and best wishes,
Ken Snelson