Thursday, September 10, 2015

Our brains contain specialized modules that let us construct, with no conscious effort, a dynamic worldview based on three-dimensional objects located in three-dimensional space. We do this beginning from two two-dimensional images on the retinas of our eyes (which in turn are the product of light rays emitted or reflected from the surfaces of external objects, which propagate to us in straight lines).
To work back from the images we receive to the objects that cause them is a tricky problem in inverse projective geometry. In fact, as stated, it is an impossible problem, since the projections don't supply nearly enough information for an unambiguous reconstruction. Even to get started we need to separate objects from background (or foreground). We exploit all kinds of tricks based on typical properties of objects we encounter, such as their color or texture contrast and distinctive boundaries, to do that job. But, even after that step is accomplished, we are left with a difficult geometrical problem for which nature has helpfully provided us, in our visual cortex, an excellent specialized processor.
Another important feature of vision is that light can come to us from very far away. This gives us a window into astronomy. The regular apparent motion of stars and the slightly less regular apparent motion of planets gave early hints of a lawful universe and provided an early inspiration and testing-ground for the mathematical description of nature. Like a good textbook, it contains problems with varying degrees of difficulty.
In the more advanced, modern parts of physics we learn that light itself is a form of matter and, indeed, that matter in general, when understood deeply, is remarkably light-like. So, again, our interest in — and experience with — light, which is deeply rooted in our essential nature, proves fortunate.
In short, our visually oriented brains are, as luck would have it, well attuned to the deep structure of the physical world. That deep structure harmonizes with our basic ways of perceiving.
Creatures who, like most mammals, perceive the world primarily through the sense of smell would have a much harder time getting to physics as we know it, even if they were highly intelligent in other ways. One can imagine dogs, say, evolving into extremely intelligent social creatures, developing language, and experiencing rich lives full of interest and joy. Their world would be rich in reactions and decays — they'd have great chemistry sets, elaborate cuisines, aphrodisiacs and, à la Proust, echoing memories. But astronomy would be peripheral and geometry alien.
We understand that smell is a chemical sense, and we are beginning to understand its foundation in molecular events. But the feat of working from smell back to molecules and their laws, and from there eventually to fundamental physics as we know it, seems, to me, hopelessly difficult. And were it achieved, the super-dogs might well find the result more weird and alienating than beautiful.
Birds, on the other hand, are visual creatures, like us. Beyond that, their way of life would give them an extra advantage over humans, in getting started on physics. For birds experience the essential symmetry of three-dimensional space in an intimate way that we, weighed down by gravity, do not. They also experience the basic regularities of motion, and especially the role of inertia, in their everyday lives, in a nearly frictionless environment. They are born, one might say, with intuitive knowledge of classical mechanics and Galilean relativity, as well as geometry. Humans, on the other hand, have to unlearn the friction-laden Aristotelian mechanics they use in everyday life in order to achieve deeper understanding. Historically, that involved quite a struggle! If some species of bird evolved high abstract intelligence — in other words, if they ceased being birdbrains — their physics would develop rapidly and they'd feel its beauty more deeply.
Spiders live in a connected world. They weave webs in space and sense distant objects — their prey — through vibrations. Super-spiders would struggle with particle mechanics, but revel in field theory!
The world does not provide its own unique interpretation. It is a multiverse, which offers many possibilities for sensory universes. Some sensory universes reflect the beauty of nature's deep design more clearly than others. The sensory universe natural to humans is fortunate in this regard, but hardly perfect. We can improve it with the help of sense-enhancing instruments (microscopes, telescopes, clocks, ... ) and, above all, by using our gift of imagination.

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