...but quantum theory is so completely counter-intuitive that all metaphors and analogies ultimately fail, there's no way to grasp it except through the mathematics. And it still won't make sense.
-------------------------------------------Dexter Sinister--------------------------------------------------------
Thanks for the description of the double slit experiment giving rise to claims that particles
exist in two locations at the same time.
But despite your warning against analogy, I thought the best window into this non-intuitive world is that little book by the Dutch Mathematician Abbott, FLATLAND.
In particular I liked the example of the 3rd dimension being the same everywhere and so this dimension became invisible because of lack of contrast. All flatlander could see were two dimensions, the edges of things, width and length.
But when a sphere invaded their plane perpendicularly (such a word !!) all the flatlanders saw was a dot becoming a varying width with its edges receding.
They thought this was God.
But the sphere took one of the square flatlander citizens out of his plane of existence and simply
turned him perpendicular to his world and then moved him rapidly like a shutter camera so that this square could see his world 3-dimensionally...
Counter intuitive ? The square would have had a hard time understanding were it not for what the sphere (God in the Square's eyes) did for him.
-------------------------------------------Dexter Sinister--------------------------------------------------------
Thanks for the description of the double slit experiment giving rise to claims that particles
exist in two locations at the same time.
But despite your warning against analogy, I thought the best window into this non-intuitive world is that little book by the Dutch Mathematician Abbott, FLATLAND.
In particular I liked the example of the 3rd dimension being the same everywhere and so this dimension became invisible because of lack of contrast. All flatlander could see were two dimensions, the edges of things, width and length.
But when a sphere invaded their plane perpendicularly (such a word !!) all the flatlanders saw was a dot becoming a varying width with its edges receding.
They thought this was God.
But the sphere took one of the square flatlander citizens out of his plane of existence and simply
turned him perpendicular to his world and then moved him rapidly like a shutter camera so that this square could see his world 3-dimensionally...
Counter intuitive ? The square would have had a hard time understanding were it not for what the sphere (God in the Square's eyes) did for him.